I have recently started graduate school and working towards my PhD in Physics. I soon realized I did not get the knowledge from undergrad QM I should have. Watching this and taking notes and doing the examples as if I was in the class has helped tremendously to fill in the gaps.
Ditto. This is a great refresher on undergraduate QM. By the way you can find the full set of lectures as a playlist on Brant Carlson's own yt channel.
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Im a retired academic librarian doing this just out of a desire to keep learning. I have no physics background so the math is beyond me but I understand the concepts. That's due solely to the excellent professor. I deeply appreciate that this information is available to people like me.
If institutions allowed us to work like the chemistry laboratory staff of most engineering colleges I would be happy ..but the .........colleges don't want ......civil engineering who contributed towards the advancement of journals .. peer reviewed journals ................they lock the libraries and lock the attendance registers ....... who has the attendance of physics department mechatronics ? aarupadai veedu institute of technology ..... accountant padmanaban why they send laymen with levelling staff and theodolite .....of the civil Dept to the green apple moor ......what can I do after I have resigned after .....I was ..... associate professor assistant professor gradeII ? Right now no designation no employer simply Gandhi .....don't ....keep booking tickets and blame me half a dozen women call themselves Gandhi ......which Gandhi are you ??? please note Indian scientist are still holding their post whereas we don't even have a patreon job ....
I’ve got a record of research conducted at Harvard Special Collections on Ptolemy to Einstein as “philosophy” as that English MA. You never know when sciences and the humanities combine. This is still something I’m watching but I have to figure out at what time stamp it was something I didn’t know.
I skipped ahead to 1:56 Position, velocity and momentum is definitely junior year high school on a school that might staff Argonne labs in an emergency to a sophomore year with significant figures, stoichiometry and degrees kelvin to Ray, lazer, spectrum of light and gold foil equations.
Yep. We are past Schrodinger. This might be all the time we have today. I’m a training athlete for Masters USTAF and Events that have a an easy path to Olympic Hopeful from USAT. I might have to give up Masters SWIM.
🎯 Key Takeaways for quick navigation: 00:04 📚 The introduction to quantum mechanics involves explaining why it's necessary and providing historical context. 01:01 🕰️ In 1900, there was a belief that with perfect knowledge of the present, you could predict the future and understand the past, but some unexplainable experiments emerged. 24:27 🔮 Key concepts in quantum mechanics include the wave function (psi), which describes the system's state probabilistically, and operators that connect psi to observable quantities. 29:19 📜 The Schrödinger equation (iħ∂ψ/∂t = Ĥψ) is a fundamental equation in quantum mechanics, where Ĥ is the Hamiltonian (energy) operator. 01:02:19 🌌 The wave function (ψ) in quantum mechanics relates to probability distribution, and the squared magnitude of ψ represents the probability of finding a particle at a specific location. 01:06:21 📊 Variance and standard deviation are used to quantify the uncertainty or broadness of a probability distribution, with variance calculated as the mean of squared deviations from the mean. 01:47:00 🔄 The normalization of a wave function is not affected by time evolution, as the Schrödinger equation does not impact the normalization constant. 01:51:14 🧮 An example of normalizing a wave function involves finding a constant 'a' such that the integral of the squared magnitude of the wave function over a limited range equals 1. 02:19:18 🧐 The Heisenberg Uncertainty Principle relates the uncertainty in position (delta x) and momentum (delta p), and the relationship is expressed as delta p * delta x >= h bar / 2. 02:53:24 🔍 Solutions to these equations involve exponentials, resulting in a wave-like behavior when combined, with constants determined by boundary conditions. 03:14:12 🧮 Expectation values of operators in quantum mechanics involve integrating the wave function times the operator, which can be split into spatial and time parts, leading to stationary states with constant expectation values if the operator is time-independent. 03:16:25 🔄 Superpositions of stationary states are fundamental in quantum mechanics, and they allow for complex time dynamics. The linearity of the Schrödinger equation enables the construction of these superpositions. 03:21:59 📦 General solutions to the Schrödinger equation are constructed as superpositions of stationary states, which involve a sum over different stationary states, each multiplied by a constant coefficient. 03:38:43 🌊 Understanding wave function behavior: The curvature and direction of wave functions are influenced by the relationship between potential energy and the energy of the state. Higher potential energy leads to wave functions curving away from the axis, while lower potential energy leads to wave functions curving towards the axis. 04:05:01 🔍 Orthogonality of wave functions: Orthogonality in quantum mechanics is introduced as a concept where wave functions are analogous to vectors being orthogonal. Two wave functions are considered orthogonal when their inner product (dot product) is zero, providing a mathematical basis for evaluating orthogonality in higher-dimensional spaces. 04:06:40 📊 In quantum mechanics, you can think of multiplying two functions as an integral, like the integral of f(x) * g(x) dx, where you multiply function values at each x coordinate and sum them up. 04:07:23 🌌 In quantum mechanics, complex functions need their complex conjugates for calculations to make sense. 04:08:17 🔄 Solving the time-independent Schrödinger equation involves finding stationary states, which are wave functions that don't change over time. These can be used to understand quantum systems. 04:36:02 🌀 Combining multiple stationary states in quantum systems results in complex and erratic wave function evolution. 05:18:06 📝 A change of variables, substituting x with the square root of (h bar / (m omega)) times a new coordinate c, simplifies the time-independent Schrödinger equation for the quantum harmonic oscillator. 05:23:45 📝 The simplified Schrödinger equation in terms of the new coordinate c leads to the quantization of energy levels in the quantum harmonic oscillator, providing a framework for calculating wave functions and their corresponding energies. 05:28:21 🌌 The asymptotic behavior of the wave function for a free particle is approximately equal to a constant times e to the power of minus c squared over 2 for large values of position (c). 05:51:46 📷 Fourier transforms are powerful tools for analyzing images, separating high spatial frequency features from low ones. 06:05:04 ⚛️ Wave packets have a velocity approximately equal to the classical velocity, determined by twice the average energy divided by mass in the square root. 06:14:12 🆔 The Dirac delta function is the limit of a distribution and acts like a distribution in mathematical calculations. 06:45:08 🌊 Scattering states away from delta functions resemble free particle behavior with traveling waves. 06:45:40 🔍 The time-independent Schrödinger equation in regions with no potential (V(x) = 0) simplifies to -ħ²/2m d²ψ/dx² = Eψ, where E is strictly greater than zero. 06:46:52 📝 The general solution for scattering states includes psi = a e^(ikx) + b e^(-ikx) for x < 0 and psi = f e^(ikx) for x > 0. 06:50:23 📊 Boundary conditions result in equations involving coefficients a, b, c, d, f, and g, which can be solved for scattering state solutions. 07:05:08 📚 Linear algebra concepts are useful in quantum mechanics for manipulating solutions and inferring physical properties of systems. 07:10:02 🧮 Quantum mechanics involves representing the state of a system using vectors in Hilbert space, and these vectors can be manipulated using linear algebra. 07:19:16 🔄 Quantum observables are represented by Hermitian operators, ensuring the expectation values are real numbers. 07:31:48 📏 Quantum states with no uncertainty, such as states with determinate energy, can be mathematically described in the language of formal linear algebra. 07:37:58 📐 Hermitian operators in quantum mechanics satisfy an inner product condition where the inner product of the operator applied to two states equals the inner product of the states with the operator, ensuring observability. 07:39:56 🔍 Eigenvalue problems are common in quantum mechanics, with eigenstates corresponding to different solutions and eigenvalues representing measurable quantities. 08:44:04 🌌 The generalized uncertainty principle arises from the Schwartz inequality and reflects the fundamental limits on the precision with which we can simultaneously measure two non-commuting observables in quantum mechanics. 09:10:40 ⚖️ Energy-time uncertainty relation: ΔE * Δt ≥ ħ/2, where ΔE is energy uncertainty, Δt is time uncertainty, and ħ is reduced Planck's constant. 09:13:40 🔄 Stable systems have slow changes, resulting in large time uncertainties and small energy uncertainties. 09:25:12 🌐 Quantum mechanics explains the behavior of spectral lines in atoms, and transitions involve emission or absorption of photons. 09:33:01 🧪 Quantum mechanics introduces momentum operators in three dimensions, replacing classical arrows with hats. 09:37:31 🔄 Commutators of angular momentum operators (e.g., Lx, Ly) result in relations like [Lx, Ly] = iħLz. 10:21:22 🔄 Spin angular momentum, associated with half-integer values like 1/2, 3/2, etc., is a property of particles in quantum mechanics, particularly electrons. 10:22:54 🌀 Quantum mechanics expands to multiple particle systems, requiring wave functions for two or more particles, making computations more complex. 10:26:12 🔍 Normalizing wave functions for multiple particles in several dimensions becomes more challenging due to increased integration complexity. 10:26:57 ⏳ The time-independent Schrödinger equation remains fundamentally similar for multiple particle systems, though spatial wave functions become more complex. 10:30:31 🙅♂️ Fundamental particles like electrons are indistinguishable, meaning we can't track their individual identities in quantum mechanics. 10:38:59 🔄 Wave functions for indistinguishable particles can be constructed by combining permutations of single-particle wave functions with appropriate symmetry properties (plus or minus signs). 10:44:25 🧪 The Pauli Exclusion Principle states that two fermions cannot occupy the same quantum mechanical state due to their anti-symmetry under exchange, leading to unique behavior. 10:47:29 ⚛️ Bosons can occupy the same quantum mechanical state because they use a symmetric combination, allowing for different behavior compared to fermions. 11:01:20 📦 The behavior of free electrons in conductors can be understood by treating them as particles in a three-dimensional box with certain assumptions. 11:06:15 🧬 Fermions obey the Pauli Exclusion Principle, limiting the number of particles that can occupy specific quantum states in k-space, leading to a unique quantum mechanical structure in many-particle systems. 11:12:18 ⚙️ To simplify calculations, a one-dimensional crystal model with periodic delta function potential (Dirac comb) is used, despite its simplifications compared to real crystals. 11:19:46 🔄 To handle edge effects in periodic potentials, the material can be conceptually wrapped in a toroidal shape, maintaining periodicity and simplifying calculations. 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I am watching the video from India in 2024. This course is for all the universities of India. The entire topic of quantum mechanics has been explained in one video. This video is very informative. If you all agree with me then like it.❤
Im currently 15, a junior in high school and I’ve always been interested in more theoretical sciences and sciences that are more thought based and less “we know what this does. Copy it down. It will be on the test” I’ve tried this video twice, once when I was 11, the again when I was 13. Both of those times I had no science knowledge besides the basic “laws of motion” and “we need energy to live”. So here I am 2 years later. With a bio and chem class in my tool belt and I’m determined to understand this. I don’t care if it takes me pausing and researching every other minute or rewatching this 10 times. I’m determined to understand this.
Hey! I'm a starting PhD student and it's really cool that you're interested in Quantum mechanics. However, (and just take this as advice) it is completely impossible that you even get close to understanding QM with only biology and chemistry background. You should start building from the foundations. You can't understand the underlying concepts explained in this video without at least dominating calculus, differential equations, and physics ( and all these requirements would be the bare minimum where you would still struggle ). Again, I admire your determination specially at such a young age; but you're literally trying to build a spacecraft with sticks and ropes. My advice is: master the basics and all the material required to actually understand quantum mechanics before you dive into it. Good luck!
@@jorgecoppel yeah I almost immediately realized this. So I got an AP physics textbook and I’m learning Calculus as I go! I kinda just meant I have bio and chem under my belt as actually classes! I’ve been super into the physics side of science for awhile so while I don’t have any classes I do have a good general understanding of them to build on! Still so much to learn and coming to this video helps keep me motivated thru the basics :) thank you
Look more into matrices and into differential equations I mean very advanced stuff you can't understand quantum mechanics without having solid understanding about those 2 topics especially
funny how the best videos and the best academic channel is hidden behind a plethoria of popsci 10-20mins vids. after viewing most of those i wanted to get to the intricate details of the math behind it and this channel provides. thank you
I'm currently taking my first QM course at university. I've been feeling lost after every lecture, but this video just gave me some much-needed clarification. It's very helpful! Thank you so much!
Liking it so far. There is an odd gap at around the 24:30 mark. Part of the "dust in the breeze" disappears and the next section begins....not a huge deal admittedly.
I'm very excited for this video! I have always wanted to go deeper than classical E&M, reaching all the way to quantum E&M, and this feels like the right place to spontaneously start that journey. Best wishes to my fellow Horatio's.
2:04:08 has a sign error. The error is fixed on the next slide. You could add a little comment to the video at that timestamp to avoid confusion. Really enjoying the series so far!
1:36:00 [ 12/27/24 ] -The Ultraviolet Catastrophe, Blackbody Radiation, and the Photoelectric Effect gave rise to this study -The Planck Constant is the *scale* of Quantum Mechanics -Key Points: Operators, The Schrodinger Equation, The Wavefunction, Observables tie it all to reality. -QM uniquely screws your primal reasoning in a way that memorization simply won't do for deep understanding. You need use and exposure with a decent amount of philosophy. -Complex analysis, Statistics
Hey Everyone, I found this channel for finding lesson for Quantam Mechanics. And i found a wide range of lectures here. I am shocked why this channel is so Underrated. Truly bro I have never hear about this channel anywhere. This channel is amazing please support this.
This material is exact what I has been looking for! Thanks! I am looking forward to dive into QM with rigid mathematics and to really appreciate the equations themselves!
Sir, I think you just singlehandedly saved my quantum mechanics midterm. This video explained what I couldn't understand with endless lectures, textbooks and research. Thank you.
This is the first instructive video that has worked for me. It's the math helping me to conceptualize things like density and uncertainty etc... Even without calculus exp, my A2 mastery has become the perfect vehicle for interpreting QM thus far. Touche, Prof. See you at the finish line!
so thankful for this. QM exam is in about 10 days, and have been dreading it, as we missed alot of content and lectures/workshops about how to answer questions due to strikes. This really helps!!
Wonderful sir, it is really awesome to grasp the whole idea/concepts of QM in one go. Also, sir if you make a similar Explanation for Statistical mechanics it would be great.
Amazing Video. I studied undergraduate engineering, and I'm certified in Machine Learning, having taken the Standford Online course in Machine Learning. I'm slowly dipping my foot into Quantum computing, mainly to ground my fictional writing and my natural curiosity. This is an amazing resource!!!
@@karm00n29 Im one hour in so far and this video seems really well paced I think you should try. And all the times the lecture was cut off i was thinking "im gonna skip this part" anyway, so it shouldnt be a dealbreaker
🎯 Key Takeaways for quick navigation: 00:04 *🌌 Introduction to the necessity and historical context of quantum mechanics.* 16:36 *📐 Discussion on the domain of quantum mechanics and its application criteria, particularly around the Planck constant and uncertainty principles.* 28:31 *🔄 Operators do not directly provide observable quantities but act on wave functions to infer properties.* 29:19 *🧮 The Schrödinger equation, integrating kinetic and potential energy operators, is central to quantum mechanics.* 31:06 *🗺️ Operators, the Schrödinger equation, and wave functions form a conceptual map for quantum mechanics study.* 32:27 *🔍 Focus of the course: starting with probabilities, linking them to wave functions, and explaining observable quantities.* 34:11 *🧬 Complex numbers are fundamental in quantum mechanics, facilitating the description and manipulation of wave functions.* 56:26 *📐 Solving for the cube roots of unity involves equations with real and imaginary parts, leading to complex solutions.* 02:15:22 *🌊 The uncertainty principle, foundational to quantum mechanics, arises from the intrinsic wave properties of particles, leading to inherent uncertainties in position and momentum measurements.* 02:19:06 *📊 The Heisenberg uncertainty principle mathematically expresses the reciprocal relationship between the uncertainties in position and momentum, a core aspect of quantum mechanics reflecting the wave-particle duality.* 03:03:15 *⏰ The time-dependent part of the Schrödinger equation's solution suggests simple rotational behavior in the complex plane, indicating predictable quantum system evolution over time.* 03:09:05 *📉 Notational clarity is crucial in quantum mechanics to differentiate between the complete wave function (including time dependence) and solutions to the time-independent Schrödinger equation, which only address spatial variables.* 03:42:22 *📉 When crossing a boundary where potential changes, the wave function's first derivative remains continuous, leading to a smooth transition without sharp corners.* 04:11:25 *📐 Absolute values in wave functions can be simplified by splitting the function across different intervals.* 04:13:40 *🔄 Fourier's trick allows the expression of initial conditions as a sum of stationary state wave functions, facilitating the calculation of constants for the sum.* 04:26:59 *📊 The probability density of a quantum state can change over time, showing a dynamic distribution of possible particle positions.* 04:32:23 *🔬 Visual simulations, like those on falstad.com, offer intuitive insights into the behavior of quantum systems, including the movement and phase of wave functions.* 04:38:47 *🕹️ Interactive simulations provide insights into the behavior of quantum systems under various conditions, enhancing understanding of theoretical concepts.* 04:43:03 *🛠️ The "ladder operator" technique offers an ingenious method for solving the quantum harmonic oscillator problem by identifying and exploiting symmetries.* 05:01:27 *🔄 Applying a ladder operator to a known solution of the Schrödinger equation generates another solution, revealing a systematic way to derive quantum states.* 05:03:55 *🔽 Conversely, applying the lowering ladder operator produces states with successively lower energies, but there exists a lower limit to these energies.* 05:16:56 *🌐 The power series method is another approach to solving the quantum harmonic oscillator problem, highlighting the versatility of methods in quantum mechanics.* 05:28:08 *✔️ For a wave function to be normalizable, and therefore physically meaningful, it must decrease to zero at infinity, constraining the types of functions that can represent physical states.* 05:29:04 *🚫 For a free particle with no potential energy, the potential energy term in the Schrödinger equation is zero, simplifying the equation.* 05:51:05 *🌐 Fourier analysis, through Fourier transforms, provides the framework for analyzing and constructing wave functions from a continuum of solutions.* 06:24:21 *📈 A step discontinuity in a wave function implies infinite kinetic energy, highlighting the importance of smooth transitions in quantum states.* 06:25:07 *🎯 The delta function potential provides an interesting case for studying both bound and scattering states within the framework of quantum mechanics and boundary conditions.* 06:37:07 *📐 The change in the wave function's first derivative across a delta function potential is determined by integrating the Schrödinger equation across the potential, resulting in a quantized energy level for the bound state.* 07:23:57 *⚖️ Operators in quantum mechanics, represented as linear transformations in Hilbert space, are crucial for understanding observable properties of a system. Hermitian operators, in particular, ensure real observable values.* 07:32:51 *📈 Determinate states, or states with no uncertainty for a given observable, are described by eigenvalue equations where the operator acting on the state equals a scalar (the observable value) times the state, illustrating the eigenstate-eigenvalue link in quantum mechanics.* 07:43:07 *🔍 The eigenvalues of Hermitian operators, which represent physical observables, are always real, ensuring that measurable quantities in quantum mechanics are real numbers.* 07:54:07 *📊 Continuous eigenvalue problems, like the momentum operator, result in non-normalizable wave functions but can still form a complete basis for representing physical states through methods like Fourier transform.* 08:11:33 *🔄 The normalization condition in quantum mechanics ensures that the total probability across all possible outcomes sums to one, whether in discrete or continuous spectra.* 08:19:17 *🔄 Measurement probabilities in quantum mechanics are derived from the system's state representation in terms of eigenstates of the observable's corresponding operator, emphasizing the intrinsic probabilistic interpretation of quantum mechanics.* 08:29:10 *🔄 The generalized uncertainty principle relates the product of the uncertainties in two observables to the expectation value of their commutator, extending the familiar ΔxΔp ≥ ħ/2.* 08:30:07 *🔢 The Schwarz inequality and properties of complex numbers play crucial roles in deriving the generalized uncertainty principle, ensuring the non-negativity of the product of uncertainties.* 08:40:33 *🧮 The uncertainty in measurements of any two quantum observables is bounded from below by the expectation value of their commutator, reinforcing the inherent quantum mechanical limitations on precision.* 08:47:21 *✨ Achieving the equality in the uncertainty relation requires the state vectors corresponding to the observables to be proportional to each other with a purely imaginary constant, pointing to the special role of Gaussian wavefunctions in meeting uncertainty limits.* 08:55:22 *⏳ Energy-time uncertainty is distinct from position-momentum uncertainty because time is not an operator but a parameter in quantum mechanics, leading to a different nature of uncertainty relation involving energy and time.* 09:07:19 *🔄 The energy-time uncertainty relation can be derived from the commutator of an observable's operator with the Hamiltonian, showing that the uncertainty in measurement outcomes depends on how quickly the observable changes.* 09:32:03 *🔗 Angular momentum in quantum mechanics is explored through operators, extending the concept from classical physics and leading to questions about quantization and behavior under quantum conditions.* 09:45:07 *🧮 \(L^2\) (the total angular momentum squared) commutes with \(L_z\), indicating that these two quantities can be simultaneously determined, simplifying the analysis of quantum states with defined angular momentum.* 10:31:12 *🔄 For distinguishable particles, the combined wave function can be expressed as the product of their individual wave functions, highlighting how quantum mechanics accommodates the combination of separate quantum states.* 10:47:12 *📏 The Pauli Exclusion Principle has profound implications, such as determining the structure of atoms and the properties of matter at the quantum level, illustrating the principle's foundational role in quantum mechanics.* 10:57:06 *💭 Reflecting on non-interacting particles adhering to exclusion principles underscores the nuanced implications of quantum mechanics for understanding particle behavior and interactions.* 11:21:56 *🧮 The general solution for a free particle in quantum mechanics, featuring sine and cosine components, underscores the fundamental approach to solving the Schrödinger equation in different regions.* 11:35:06 *🌐 The concept of energy bands in a periodic potential elucidates the quantum mechanical foundation for the behavior of electrons in solids, facilitating a deeper understanding of conductors, insulators, and semiconductors.* Made with HARPA AI
I took a quantum mechanics course in high school in my junior year (last year) and I am very surprised to say this but I understood the entirety of this amazing free video and that my high school covered 95% of the material here and some other topics beyond. It was extremely helpful as a revision though.
probability theory and wave distribution portion of this lecture actually helped me understand integral calculus better even though this course considers one has already covered a good deal of integral calculus
The historical approach is very poor QM teaching because what it does is to expose you to all the confusion without telling you about the trivial resolution.
I am only about 45 minutes into this course, so I still have a lot to see, but this professor and his method of explanation and introduction of the syllabus is astonishing and one of the best I have ever seen, up there with the simplicity and beauty of 3B1B and the mathematical and physics rigor of a textbook.
WARNING: The limitations of QM: 1. It doesn't treat time and space the same way and therefore violates Special Relativity; 2. It can't explain the creation and destruction of particles; 3. It only deals with massive particles. And because of these three points Quantum Field Theory was needed.
Everything is grown off something and our size relative to quantum. The gap is too great so we create tools to find/see the differences so we can break them down further and understand what builds what. Light is a particle on the quantum level and when it interacts with things it slows down enough to become color or a frequency. The wavelength is because of its energy which is mass and velocity so super small but amount is... well look around, its overwhelming, we eat light with our eyes and break down the pieces of info like the heat and color and shape and our malleable brain takes the broken pieces in and grows neuron connections with the nutrients of quantum particles and the similar info goes down the path of least resistance. Its like guiding electricity with light, similar wavelengths can connect like water flowing into a rut or least resistance path but once the neurons count the differences it grows connections and passes differences along so more can be used by us. Or thats what i think could be happening.
I’m still working on the concept of infinity that was mentioned early in this series (where the limits of classical physics apparently run aground). Just wondering if anything actually "works" at infinity, or for that matter, whether infinity really exists in the first place? I can see this is going to require more work- like a lot more… maybe infinitely more.
You can play around with infinity, but it's more like a made up tool mathematicians created to make things easier, like imaginary numbers. Doesn't really map to the real world, just one of the many tricks/tools mathematics has to make things work out
my idea of infinity is some quantity that just isn't a number. a fair amount of mathematics really does work at infinity, in very much the same way that non-math fields of study would do their work on those things that are not numbers, or whichever things that to people as such definitely *do* exist, and no less work without ever affording themselves to abandon all quantatitive reasoning (eg. things will always "add up" no matter what, because otherwise you'd know things aren't adding up). infinity not being a number is only a problem because as it happens, math and numbers were kind of made for one another. heck, if math only ever used numbers, there wouldn't even be such thing as a math "problem". consider how for at least 100 years after being invented, calculus had no rigorous foundation whatsoever. like Ian says, the analysis ("playing around with") of infinities using math totally works, and obviously math remains the foremost tool in actually defining the concept and developing new knowledge of what infinity even is; but i think this shows that no matter the reason mathematics simply can't always be the best tool for the job, and its precisely when the infinities start showing up that you might just begin finding as much.
Infinity is never seen as a value it is more like something that tells u if u go too the bigger and bigger values the answer will get more and more accurate for example sums that get summed up too Infinity of course u never reach it but the Infinity sign tells u too add as much u can too get as close of an answer u need
This guy is a very good teacher. Most of this stuff is above me (B.S. Nuclear Engineering, UT-K, 2012) but he does as good as anyone I've heard simplify it.
@@kurtgodel28 depends on what you mean by "good". If you mean "Were you taught the general concepts of the Wave Function and Schroedinger Equation and Nuclear Kinematics?" then Yes. If you mean "can you calculate the wave function of two Hydrogen Atoms interacting?" then No. There was so much to learn in my classes (Reactor Theory, Electrical Control Systems, Thermo, Materials Science, etc.) that we didn't have time to get deep into actual theoretical physics problems. We would hit them on the surface, maybe do a calculation or two, and then move on. In short, I'd say I know way more than the general population, but not compared to an actual physics major.b
@@kidzbop38isstraightfire92 I mean at the level of this video at least. I'm asking because I have a major in Nuclear Engineering also (meaning a 5 year course of study) and Quantum Mechanics was one of our main exams of the 3rd year. In my country, B.S. and M. Sc. were not separate degrees until 20 years ago, so we had fewer but longer courses throughout the year, maybe that explains why we had time to dig into the theory as well.
@@kurtgodel28 ah a fellow NE, good man! Yea so I guess I may have undersold some things now that I'm rewatching the video, almost all of the concepts were taught (although we didn't do much with operators or Hilbert Spaces), I just don't remember the math to solve them. If asked right now, I couldn't solve any of these problems without refresher (varying from a 5-minute review to 1+ hours if it's solving PDEs). Also (and this is the crux of my original comment), while almost all of this content looks familiar and I could solve the equations after refresher, none of it is really conceptualized for me to where I truly understand what it's saying. Sure, I know what orthogonality means, and I know what an infinite potential well means, but the Why's and the Hows and what all of this means in actuality is still outside of my grasp. Like, what does it really mean physically to say that Quantum States are vectors in abstract vector space? What does the Eigenstate of a position representation of the wave physically mean? I'm short, If I was asked by a first-year physics major to explain all of these concepts and why (mathematically) we do them, I'd be lost.... especially now since I haven't seen this stuff in ~15 years. EDIT: also, we were a 4-year degree, so maybe that extra year gave you all more rigor in the QM aspects...or maybe I was just a bad student 😂
@1:01:47 Can psi's (Ψ) unknowability or ambiguity be a result of Godel's Incompleteness Theorems; i.e. a connection between Gödel's incompleteness theorems and the wave function Ψ in quantum mechanics leaving us with only a ergodic approximation?
The photoelectric effect was discovered and explored deep enough by Heinrich Hertz in 1887. On the advice of Max Planck, Einstein merely provided interpretations of that effect on the basis of Max Planck's discoveries in quantum mechanics.
Ramanujan number: 1,729 Earth's equatorial radius: 6,378 km. Golden number: 1.61803... • (1,729 x 6,378 x (10^-3)) ^1.61803 x (10^-3) = 3,474.18 Moon's diameter: 3,474 km. Ramanujan number: 1,729 Speed of light: 299,792,458 m/s Earth's Equatorial Diameter: 12,756 km. Earth's Equatorial Radius: 6,378 km. • (1,729 x 299,792,458) / 12,756 / 6,378) = 6,371 Earth's average radius: 6,371 km. The Cubit The cubit = Pi - phi^2 = 0.5236 Lunar distance: 384,400 km. (0.5236 x (10^6) - 384,400) x 10 = 1,392,000 Sun´s diameter: 1,392,000 km. Higgs Boson: 125.35 (GeV) Phi: 1.61803... (125.35 x (10^-1) - 1.61803) x (10^3) = 10,916.97 Circumference of the Moon: 10,916 km. Golden number: 1.618 Golden Angle: 137.5 Earth's equatorial radius: 6,378 Universal Gravitation G = 6.67 x 10^-11 N.m^2/kg^2. (((1.618 ^137.5) / 6,378) / 6.67) x (10^-20) = 12,756.62 Earth’s equatorial diameter: 12,756 km. The Euler Number is approximately: 2.71828... Newton’s law of gravitation: G = 6.67 x 10^-11 N.m^2/kg^2. Golden number: 1.618ɸ (2.71828 ^ 6.67) x 1.618 x 10 = 12,756.23 Earth’s equatorial diameter: 12,756 km. Planck’s constant: 6.63 × 10-34 m2 kg. Circumference of the Moon: 10,916. Gold equation: 1,618 ɸ (((6.63 ^ (10,916 x 10^-4 )) x 1.618 x (10^3)= 12,756.82 Earth’s equatorial diameter: 12,756 km. Planck's temperature: 1.41679 x 10^32 Kelvin. Newton’s law of gravitation: G = 6.67 x 10^-11 N.m^2/kg^2. Speed of Sound: 340.29 m/s (1.41679 ^ 6.67) x 340.29 - 1 = 3,474.81 Moon's diameter:: 3,474 km. Cosmic microwave background radiation 2.725 kelvins ,160.4 GHz, Pi: 3.14 Earth's polar radius: 6,357 km. ((2,725 x 160.4) / 3.14 x (10^4) - (6,357 x 10^-3) = 1,392,000 The diameter of the Sun: 1,392,000 km. Orion: The Connection between Heaven and Earth eBook Kindle
Within the first few minutes after the Albert Michelson quote, there was a small error made when discussing Uranus and Neptune. You mixed up the planets is all. By studying and examining Uranus' orbital perturbations, we were then able to discover Neptune. Uranus was discovered ~60 years prior by William Herschel and his telescope. Thanks for sharing the video btw!
I had to try to keep the faith throughout the video because of this mistake so early. I was so worried that the rest of the course would be plagued by simple mistakes like this. I love the course, but I still have that doubt and I wish it wasn't there!
I got me degrees in psychology and thus only had to survive two semesters of adv. stats. I'm a math moron. I started listening to this fine video out of curiosity because I study quantum physics as a hobby. I was lying in bed w/my laptop watching, and after about fifteen minutes I drifted off in a wonderful nap. It works every time, and I don't mean this unkindly, but because I sometimes don't sleep well at night, a daytime nap can really turn my day around. Thank you, professor, and, at least at a subliminal level, I'm soaking up great stuff!
Yes, I found it quite irritating. But overall, it is very well done. One more thing, he keeps referring to a text. Anyone know whether such a text is available? Thank you.
I’m 13, but sure why not, I’m still learning about the circumference and how to do area properly, let’s do something I won’t be able to comprehend with a sort of knowledge 👍
Off to a wobbly start 2:51 - Uranus was not discovered by the perturbations of Neptune’s orbit; Neptune was discovered by the perturbations of Uranus’s orbit
I was a physics major - half a century ago. Although I ended up doing something else for living, I never lost interest in physics. I will skip this course. But, I would like to pre-register for QFT if it iscoming.
Excellent video. But for accuracy, can I point out a minor error (assuming it has not already been mentioned)? At about 23:37 it says 10⁻⁶kg = 1 microgram (1μg). That’s wrong by a factor of 1000. 10⁻³kg = 1g and 10⁻³g = 1mg. So 10⁻⁶kg = 1mg, not 1μg, For a particle of size ~10⁻⁵m and density 1000kg/m³ say, the particle mass is ~10⁻¹²kg. So a better choice for the mass of the example dust particle would have been 10⁻¹²kg.
I can tell u u will definitely not have the same knowledge as someone studying quantum mechanics for a whole semester 4 hours each week this is probably not even close too it
@@Tobi21089 I'm a applied physics engineering student and QM is one of the many courses we have. This video is close to the basics of the lectures but the difference is in the mathematical proof. Normally we proof and derive everything like the first 3 experiments of this video.
@@sanderb.7813 I study physics too but the classic bachelor and this isn't as deep as a full course in the bachelor it can't be literally that deep because it isn't even that long
@@Pseudify it depends on the length of it, you only need to watch 30 seconds. So, if its a 30-second ad or lower, then you have to watch all of it, but if its longer, then anything beyond the 30 seconds is useless
It's because this 11 hours video is a shortened version of the actual 22 hours (8 + 14 hours) version. Here’s the actual full course: Part 1: th-cam.com/video/xnt2xSNRNn0/w-d-xo.html Part 2: th-cam.com/video/QQCMOc8yB70/w-d-xo.html
At 1:46:50 there is a gap in calculus Take f.e. f(x,t)=cos(x^8)/x^3 on [1;infinity). It's in L2 space (i.e. can be integrated twice), therefore limit(f(x,t)) = 0 as x->infinity. But it's derivative not only does not converges to 0 as x->infinity, it is unbounded. Even f(x,t)*(df/dx) is unbounded Is there any reason why wave function cannot behave like function I mentioned above? Maybe, it can be derived from Shrodinger equation?
@@pins849 clearly a typing error, how motivated do you have to be to take time out of your day to correct such a mistake and not appreciate what i said. i assure you that your intellect is far lower then you believe it is to be.
Thank you for uploading this video. I can’t wait for courses on what I call transitional physics which is the bridge between Newtonian physics and QM. The line between the microscopic and macroscopic is what we need to understand so we can start to manipulate it and start getting access to really cool stuff.
Could you do another video like this but for special relativity and general relativity, thermodynamics and particle physics/nuclear physics? Thank you 😊
You made a mistake at 53:15, since the real part of this complex number is not d-yc, neither the imaginary part is ixc, exactly because of the denominator being a complex number too. You must refer back to your previous page and check the real and imginary parts while your denominator is f^2+g^2. However, im a mathematician looking to learn QM and you explain really well so far.
It's because this version is a 22-hour course shortened to 11 hours. Full 22-hour course is available in 2 parts. (8+14 hours) Here's the actual FULL COURSE. 📌️Part 1: th-cam.com/video/xnt2xSNRNn0/w-d-xo.html 📌️Part 2: th-cam.com/video/QQCMOc8yB70/w-d-xo.html
@@SGayanFernando The actual original version is here: th-cam.com/play/PL65jGfVh1ilueHVVsuCxNXoxrLI3OZAPI.html The ones you linked are also broken copies of the original
What beautiful explanations of an extremely complex topic. I like it that you don't rely on the formalism from the beginning. I've put myself through several QM "courses" from MIT, Stanford, etc., and found this to make the most sense from the beginning. At the beginning of the math explanation (part 4?), it would have been nice to know why we were going to do that; i.e., what is the purpose of rectangular/polar form of manipulating x, y, z, i, etc. around each other.
i am honoured for the yt algorithm to recommend me this
Me too
Hopefully me too
Too
🙆🏼♂️!
Same man
Wow, an entire university course in one video, and it's free. Valuable
Well, it would be, if the chapters didn't finish early leaving you high and dry without full understanding of the lecture.
12 hours isnt close to a full course in this topic though not even 100 hours
Will be tough when you get to that part of the interview, where have to discuss your education background 😉
It was, by far, my favourite subject area as an undergraduate. It's still glorious, stunning, amazing, incredible.
@@BenjWarrant Yeah, what a crappy thing. I would expect that from some shitty kid doing game videos not from a college prof. Totally dissapointed
This is the only period of history where this amount of knowledge is this accessible (and free). Thanks so much!
Yes, but we are overwhelmed of it or some others ignore it
Its called a library bud
@@horenzodipartendo8225 since when was the library truly free
I wish this shit was around when I was in highschool :(
@@horenzodipartendo8225you couldn’t get this at a library that isn’t a university one
I have recently started graduate school and working towards my PhD in Physics. I soon realized I did not get the knowledge from undergrad QM I should have. Watching this and taking notes and doing the examples as if I was in the class has helped tremendously to fill in the gaps.
Exactly
Ditto. This is a great refresher on undergraduate QM. By the way you can find the full set of lectures as a playlist on Brant Carlson's own yt channel.
PhD in Physics ? In Civil Engineering Department are you crazy
physics are learnt in .........all fields ? Quantum
PhD in Physics ? In Civil Engineering Department are you crazy
physics are learnt in .........all fields ? Quantum
@@georgen9755 ? what even?
I’m very fortunate to have free access to such knowledge. Thanks
What are You going to do with it?
Make others feel dumb😄
Quantum computing could threaten humanity as we know it
th-cam.com/video/ip3FwAYWjkw/w-d-xo.html
Indeed!
Hi first of all your art is absolutely stunning 🤩,second, happy to watch!😛👍🍭😜👍beautiful artwork dear full watched 😍💞💞
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Im a retired academic librarian doing this just out of a desire to keep learning. I have no physics background so the math is beyond me but I understand the concepts. That's due solely to the excellent professor. I deeply appreciate that this information is available to people like me.
If institutions allowed us to work like the chemistry laboratory staff of most engineering colleges I would be happy ..but the .........colleges don't want ......civil engineering who contributed towards the advancement of journals ..
peer reviewed journals ................they lock the libraries and lock the attendance registers .......
who has the attendance of physics department
mechatronics
? aarupadai veedu institute of technology .....
accountant padmanaban
why they send laymen with levelling staff and theodolite .....of the civil Dept to the green apple moor ......what can I do after I have resigned after .....I was .....
associate professor
assistant professor gradeII
? Right now no designation no employer simply Gandhi .....don't ....keep booking tickets and blame me
half a dozen women call themselves Gandhi ......which Gandhi are you ???
please note Indian scientist are still holding their post whereas we don't even have a patreon job ....
I’ve got a record of research conducted at Harvard Special Collections on Ptolemy to Einstein as “philosophy” as that English MA. You never know when sciences and the humanities combine. This is still something I’m watching but I have to figure out at what time stamp it was something I didn’t know.
I skipped ahead to 1:56 Position, velocity and momentum is definitely junior year high school on a school that might staff Argonne labs in an emergency to a sophomore year with significant figures, stoichiometry and degrees kelvin to Ray, lazer, spectrum of light and gold foil equations.
Yep. We are past Schrodinger. This might be all the time we have today. I’m a training athlete for Masters USTAF and Events that have a an easy path to Olympic Hopeful from USAT. I might have to give up Masters SWIM.
⁰⁰⁰å⁰å4@@KateMorganStyle
🎯 Key Takeaways for quick navigation:
00:04 📚 The introduction to quantum mechanics involves explaining why it's necessary and providing historical context.
01:01 🕰️ In 1900, there was a belief that with perfect knowledge of the present, you could predict the future and understand the past, but some unexplainable experiments emerged.
24:27 🔮 Key concepts in quantum mechanics include the wave function (psi), which describes the system's state probabilistically, and operators that connect psi to observable quantities.
29:19 📜 The Schrödinger equation (iħ∂ψ/∂t = Ĥψ) is a fundamental equation in quantum mechanics, where Ĥ is the Hamiltonian (energy) operator.
01:02:19 🌌 The wave function (ψ) in quantum mechanics relates to probability distribution, and the squared magnitude of ψ represents the probability of finding a particle at a specific location.
01:06:21 📊 Variance and standard deviation are used to quantify the uncertainty or broadness of a probability distribution, with variance calculated as the mean of squared deviations from the mean.
01:47:00 🔄 The normalization of a wave function is not affected by time evolution, as the Schrödinger equation does not impact the normalization constant.
01:51:14 🧮 An example of normalizing a wave function involves finding a constant 'a' such that the integral of the squared magnitude of the wave function over a limited range equals 1.
02:19:18 🧐 The Heisenberg Uncertainty Principle relates the uncertainty in position (delta x) and momentum (delta p), and the relationship is expressed as delta p * delta x >= h bar / 2.
02:53:24 🔍 Solutions to these equations involve exponentials, resulting in a wave-like behavior when combined, with constants determined by boundary conditions.
03:14:12 🧮 Expectation values of operators in quantum mechanics involve integrating the wave function times the operator, which can be split into spatial and time parts, leading to stationary states with constant expectation values if the operator is time-independent.
03:16:25 🔄 Superpositions of stationary states are fundamental in quantum mechanics, and they allow for complex time dynamics. The linearity of the Schrödinger equation enables the construction of these superpositions.
03:21:59 📦 General solutions to the Schrödinger equation are constructed as superpositions of stationary states, which involve a sum over different stationary states, each multiplied by a constant coefficient.
03:38:43 🌊 Understanding wave function behavior: The curvature and direction of wave functions are influenced by the relationship between potential energy and the energy of the state. Higher potential energy leads to wave functions curving away from the axis, while lower potential energy leads to wave functions curving towards the axis.
04:05:01 🔍 Orthogonality of wave functions: Orthogonality in quantum mechanics is introduced as a concept where wave functions are analogous to vectors being orthogonal. Two wave functions are considered orthogonal when their inner product (dot product) is zero, providing a mathematical basis for evaluating orthogonality in higher-dimensional spaces.
04:06:40 📊 In quantum mechanics, you can think of multiplying two functions as an integral, like the integral of f(x) * g(x) dx, where you multiply function values at each x coordinate and sum them up.
04:07:23 🌌 In quantum mechanics, complex functions need their complex conjugates for calculations to make sense.
04:08:17 🔄 Solving the time-independent Schrödinger equation involves finding stationary states, which are wave functions that don't change over time. These can be used to understand quantum systems.
04:36:02 🌀 Combining multiple stationary states in quantum systems results in complex and erratic wave function evolution.
05:18:06 📝 A change of variables, substituting x with the square root of (h bar / (m omega)) times a new coordinate c, simplifies the time-independent Schrödinger equation for the quantum harmonic oscillator.
05:23:45 📝 The simplified Schrödinger equation in terms of the new coordinate c leads to the quantization of energy levels in the quantum harmonic oscillator, providing a framework for calculating wave functions and their corresponding energies.
05:28:21 🌌 The asymptotic behavior of the wave function for a free particle is approximately equal to a constant times e to the power of minus c squared over 2 for large values of position (c).
05:51:46 📷 Fourier transforms are powerful tools for analyzing images, separating high spatial frequency features from low ones.
06:05:04 ⚛️ Wave packets have a velocity approximately equal to the classical velocity, determined by twice the average energy divided by mass in the square root.
06:14:12 🆔 The Dirac delta function is the limit of a distribution and acts like a distribution in mathematical calculations.
06:45:08 🌊 Scattering states away from delta functions resemble free particle behavior with traveling waves.
06:45:40 🔍 The time-independent Schrödinger equation in regions with no potential (V(x) = 0) simplifies to -ħ²/2m d²ψ/dx² = Eψ, where E is strictly greater than zero.
06:46:52 📝 The general solution for scattering states includes psi = a e^(ikx) + b e^(-ikx) for x < 0 and psi = f e^(ikx) for x > 0.
06:50:23 📊 Boundary conditions result in equations involving coefficients a, b, c, d, f, and g, which can be solved for scattering state solutions.
07:05:08 📚 Linear algebra concepts are useful in quantum mechanics for manipulating solutions and inferring physical properties of systems.
07:10:02 🧮 Quantum mechanics involves representing the state of a system using vectors in Hilbert space, and these vectors can be manipulated using linear algebra.
07:19:16 🔄 Quantum observables are represented by Hermitian operators, ensuring the expectation values are real numbers.
07:31:48 📏 Quantum states with no uncertainty, such as states with determinate energy, can be mathematically described in the language of formal linear algebra.
07:37:58 📐 Hermitian operators in quantum mechanics satisfy an inner product condition where the inner product of the operator applied to two states equals the inner product of the states with the operator, ensuring observability.
07:39:56 🔍 Eigenvalue problems are common in quantum mechanics, with eigenstates corresponding to different solutions and eigenvalues representing measurable quantities.
08:44:04 🌌 The generalized uncertainty principle arises from the Schwartz inequality and reflects the fundamental limits on the precision with which we can simultaneously measure two non-commuting observables in quantum mechanics.
09:10:40 ⚖️ Energy-time uncertainty relation: ΔE * Δt ≥ ħ/2, where ΔE is energy uncertainty, Δt is time uncertainty, and ħ is reduced Planck's constant.
09:13:40 🔄 Stable systems have slow changes, resulting in large time uncertainties and small energy uncertainties.
09:25:12 🌐 Quantum mechanics explains the behavior of spectral lines in atoms, and transitions involve emission or absorption of photons.
09:33:01 🧪 Quantum mechanics introduces momentum operators in three dimensions, replacing classical arrows with hats.
09:37:31 🔄 Commutators of angular momentum operators (e.g., Lx, Ly) result in relations like [Lx, Ly] = iħLz.
10:21:22 🔄 Spin angular momentum, associated with half-integer values like 1/2, 3/2, etc., is a property of particles in quantum mechanics, particularly electrons.
10:22:54 🌀 Quantum mechanics expands to multiple particle systems, requiring wave functions for two or more particles, making computations more complex.
10:26:12 🔍 Normalizing wave functions for multiple particles in several dimensions becomes more challenging due to increased integration complexity.
10:26:57 ⏳ The time-independent Schrödinger equation remains fundamentally similar for multiple particle systems, though spatial wave functions become more complex.
10:30:31 🙅♂️ Fundamental particles like electrons are indistinguishable, meaning we can't track their individual identities in quantum mechanics.
10:38:59 🔄 Wave functions for indistinguishable particles can be constructed by combining permutations of single-particle wave functions with appropriate symmetry properties (plus or minus signs).
10:44:25 🧪 The Pauli Exclusion Principle states that two fermions cannot occupy the same quantum mechanical state due to their anti-symmetry under exchange, leading to unique behavior.
10:47:29 ⚛️ Bosons can occupy the same quantum mechanical state because they use a symmetric combination, allowing for different behavior compared to fermions.
11:01:20 📦 The behavior of free electrons in conductors can be understood by treating them as particles in a three-dimensional box with certain assumptions.
11:06:15 🧬 Fermions obey the Pauli Exclusion Principle, limiting the number of particles that can occupy specific quantum states in k-space, leading to a unique quantum mechanical structure in many-particle systems.
11:12:18 ⚙️ To simplify calculations, a one-dimensional crystal model with periodic delta function potential (Dirac comb) is used, despite its simplifications compared to real crystals.
11:19:46 🔄 To handle edge effects in periodic potentials, the material can be conceptually wrapped in a toroidal shape, maintaining periodicity and simplifying calculations.
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Mom said one more video before bed
If she bans this video, play 10 hours of dancing spongebob
Take your time, I'll entertain your mom.
Watch 24 hour endurance race
@@JohnnyJohnny-f5o how will you entertain her?
@@JohnnyJohnny-f5o?
I am feeling very privileged to have access to such knowledge. Thanks
@William Rosenberg yup malawi456
Great times were in😊
I am watching the video from India in 2024. This course is for all the universities of India. The entire topic of quantum mechanics has been explained in one video. This video is very informative. If you all agree with me then like it.❤
Hi, what prior knowledge do we need for watching this
At least calculus 2 and a good understanding of classical mechanics.@@SukhmeetKaur-xl5fp
@SukhmeetKaur-xl5fp
Just the basic stuffs you know from jee course ..
Im currently 15, a junior in high school and I’ve always been interested in more theoretical sciences and sciences that are more thought based and less “we know what this does. Copy it down. It will be on the test”
I’ve tried this video twice, once when I was 11, the again when I was 13. Both of those times I had no science knowledge besides the basic “laws of motion” and “we need energy to live”.
So here I am 2 years later. With a bio and chem class in my tool belt and I’m determined to understand this. I don’t care if it takes me pausing and researching every other minute or rewatching this 10 times. I’m determined to understand this.
you're epic :D
@@ei6728 thank you ❤️
Hey! I'm a starting PhD student and it's really cool that you're interested in Quantum mechanics. However, (and just take this as advice) it is completely impossible that you even get close to understanding QM with only biology and chemistry background. You should start building from the foundations. You can't understand the underlying concepts explained in this video without at least dominating calculus, differential equations, and physics ( and all these requirements would be the bare minimum where you would still struggle ). Again, I admire your determination specially at such a young age; but you're literally trying to build a spacecraft with sticks and ropes. My advice is: master the basics and all the material required to actually understand quantum mechanics before you dive into it. Good luck!
@@jorgecoppel yeah I almost immediately realized this. So I got an AP physics textbook and I’m learning Calculus as I go! I kinda just meant I have bio and chem under my belt as actually classes! I’ve been super into the physics side of science for awhile so while I don’t have any classes I do have a good general understanding of them to build on! Still so much to learn and coming to this video helps keep me motivated thru the basics :) thank you
Look more into matrices and into differential equations I mean very advanced stuff you can't understand quantum mechanics without having solid understanding about those 2 topics especially
Knowledge for free and full....salute to your charity....
Regards
Anirudh....from BHARAT(INDIA)
"Entire quantum mechanics in one video"
The video: more than 11 hours long
Love it, i can now learn QM before i should
funny how the best videos and the best academic channel is hidden behind a plethoria of popsci 10-20mins vids. after viewing most of those i wanted to get to the intricate details of the math behind it and this channel provides. thank you
I'm currently taking my first QM course at university. I've been feeling lost after every lecture, but this video just gave me some much-needed clarification. It's very helpful! Thank you so much!
I will watch all at once tomorrow! No stop, no snack, no toilet, just quantum mechanics.
did you do it?
@@razatk629 haha that's what i was wondering
Liking it so far. There is an odd gap at around the 24:30 mark. Part of the "dust in the breeze" disappears and the next section begins....not a huge deal admittedly.
yeah.
im sure the example was to show that, even though its at a small scale, quantum mechanics were not necessary compared to a hydrogen atom.
those are littered throughout the video, you can go to the playlist on the original channel through a link in the description for full, uncut videos
I am 1:17:23 in and I am tapping out. I simplified the problems with the video as best I could, so far.
Bro take a damn break you went full on with this
I'm very excited for this video! I have always wanted to go deeper than classical E&M, reaching all the way to quantum E&M, and this feels like the right place to spontaneously start that journey. Best wishes to my fellow Horatio's.
I have my university Quantum exam tomorrow and this has been more helpful than the entire year with my teacher, thank you so much
Hello can you send me the exam for research?
2:04:08 has a sign error. The error is fixed on the next slide. You could add a little comment to the video at that timestamp to avoid confusion. Really enjoying the series so far!
Also poor speck of dust in the breeze, such abrupt fate, I'm crying
@@AA-gd2tb lol
1:36:00
[ 12/27/24 ]
-The Ultraviolet Catastrophe, Blackbody Radiation, and the Photoelectric Effect gave rise to this study
-The Planck Constant is the *scale* of Quantum Mechanics
-Key Points: Operators, The Schrodinger Equation, The Wavefunction, Observables tie it all to reality.
-QM uniquely screws your primal reasoning in a way that memorization simply won't do for deep understanding. You need use and exposure with a decent amount of philosophy.
-Complex analysis, Statistics
I'm a complete beginner to quantum mechanics and I'm going to start from this video
1:26:17 day one done
Did you complete it?
Hey Everyone,
I found this channel for finding lesson for Quantam Mechanics.
And i found a wide range of lectures here. I am shocked why this channel is so Underrated.
Truly bro I have never hear about this channel anywhere.
This channel is amazing please support this.
This material is exact what I has been looking for! Thanks! I am looking forward to dive into QM with rigid mathematics and to really appreciate the equations themselves!
6 Minutes in and I Love the way this guy draws and explains things
About time TH-cam recommended me this goldmine
OMFG!!!! This is saviour! this is all i wanted. Basics are specifically clarified.
I don't know why YT recommended this but i'm glad it did
Sir, I think you just singlehandedly saved my quantum mechanics midterm. This video explained what I couldn't understand with endless lectures, textbooks and research. Thank you.
as a high school freshman, this is very useful for my introductory physics course
lol
My daughter is in 5th grade and is currently 10. She has been learning quantum physics/mechanics from you. Thank you for posting this video!
I'm so thankful for this channel. Ty to all who work to make this happen!
This is the first instructive video that has worked for me. It's the math helping me to conceptualize things like density and uncertainty etc...
Even without calculus exp, my A2 mastery has become the perfect vehicle for interpreting QM thus far.
Touche, Prof. See you at the finish line!
By far the best introductory quantum mechanics course on this platform, hands down. Well played.
so thankful for this. QM exam is in about 10 days, and have been dreading it, as we missed alot of content and lectures/workshops about how to answer questions due to strikes. This really helps!!
Good luck on the exam!
How did u do?
Wonderful sir, it is really awesome to grasp the whole idea/concepts of QM in one go. Also, sir if you make a similar Explanation for Statistical mechanics it would be great.
FINALLY I UNDERSTAND QUANTUM MECHANICS BECAUSE OF YOUR GREAT EXPLANATION .
Open access culture at its finest. Thank you so much
Amazing Video. I studied undergraduate engineering, and I'm certified in Machine Learning, having taken the Standford Online course in Machine Learning. I'm slowly dipping my foot into Quantum computing, mainly to ground my fictional writing and my natural curiosity. This is an amazing resource!!!
The QM lectures when I studied physics were incomprehensible, this looks so much clearer.
I am in love with the fact that the most viewed moments are exactly a spike of the moment he explains dirac distribution
A shame that so many of the lectures are cut off, but still a very helpful video!
like which ones? do you think its worth watching the whole thing, or maybe should i go for the MIT opencourseware playlist of QM?
@@karm00n29 Im one hour in so far and this video seems really well paced I think you should try. And all the times the lecture was cut off i was thinking "im gonna skip this part" anyway, so it shouldnt be a dealbreaker
@@akyceee i found a playlist of full vids , its from channel brant carlson
🎯 Key Takeaways for quick navigation:
00:04 *🌌 Introduction to the necessity and historical context of quantum mechanics.*
16:36 *📐 Discussion on the domain of quantum mechanics and its application criteria, particularly around the Planck constant and uncertainty principles.*
28:31 *🔄 Operators do not directly provide observable quantities but act on wave functions to infer properties.*
29:19 *🧮 The Schrödinger equation, integrating kinetic and potential energy operators, is central to quantum mechanics.*
31:06 *🗺️ Operators, the Schrödinger equation, and wave functions form a conceptual map for quantum mechanics study.*
32:27 *🔍 Focus of the course: starting with probabilities, linking them to wave functions, and explaining observable quantities.*
34:11 *🧬 Complex numbers are fundamental in quantum mechanics, facilitating the description and manipulation of wave functions.*
56:26 *📐 Solving for the cube roots of unity involves equations with real and imaginary parts, leading to complex solutions.*
02:15:22 *🌊 The uncertainty principle, foundational to quantum mechanics, arises from the intrinsic wave properties of particles, leading to inherent uncertainties in position and momentum measurements.*
02:19:06 *📊 The Heisenberg uncertainty principle mathematically expresses the reciprocal relationship between the uncertainties in position and momentum, a core aspect of quantum mechanics reflecting the wave-particle duality.*
03:03:15 *⏰ The time-dependent part of the Schrödinger equation's solution suggests simple rotational behavior in the complex plane, indicating predictable quantum system evolution over time.*
03:09:05 *📉 Notational clarity is crucial in quantum mechanics to differentiate between the complete wave function (including time dependence) and solutions to the time-independent Schrödinger equation, which only address spatial variables.*
03:42:22 *📉 When crossing a boundary where potential changes, the wave function's first derivative remains continuous, leading to a smooth transition without sharp corners.*
04:11:25 *📐 Absolute values in wave functions can be simplified by splitting the function across different intervals.*
04:13:40 *🔄 Fourier's trick allows the expression of initial conditions as a sum of stationary state wave functions, facilitating the calculation of constants for the sum.*
04:26:59 *📊 The probability density of a quantum state can change over time, showing a dynamic distribution of possible particle positions.*
04:32:23 *🔬 Visual simulations, like those on falstad.com, offer intuitive insights into the behavior of quantum systems, including the movement and phase of wave functions.*
04:38:47 *🕹️ Interactive simulations provide insights into the behavior of quantum systems under various conditions, enhancing understanding of theoretical concepts.*
04:43:03 *🛠️ The "ladder operator" technique offers an ingenious method for solving the quantum harmonic oscillator problem by identifying and exploiting symmetries.*
05:01:27 *🔄 Applying a ladder operator to a known solution of the Schrödinger equation generates another solution, revealing a systematic way to derive quantum states.*
05:03:55 *🔽 Conversely, applying the lowering ladder operator produces states with successively lower energies, but there exists a lower limit to these energies.*
05:16:56 *🌐 The power series method is another approach to solving the quantum harmonic oscillator problem, highlighting the versatility of methods in quantum mechanics.*
05:28:08 *✔️ For a wave function to be normalizable, and therefore physically meaningful, it must decrease to zero at infinity, constraining the types of functions that can represent physical states.*
05:29:04 *🚫 For a free particle with no potential energy, the potential energy term in the Schrödinger equation is zero, simplifying the equation.*
05:51:05 *🌐 Fourier analysis, through Fourier transforms, provides the framework for analyzing and constructing wave functions from a continuum of solutions.*
06:24:21 *📈 A step discontinuity in a wave function implies infinite kinetic energy, highlighting the importance of smooth transitions in quantum states.*
06:25:07 *🎯 The delta function potential provides an interesting case for studying both bound and scattering states within the framework of quantum mechanics and boundary conditions.*
06:37:07 *📐 The change in the wave function's first derivative across a delta function potential is determined by integrating the Schrödinger equation across the potential, resulting in a quantized energy level for the bound state.*
07:23:57 *⚖️ Operators in quantum mechanics, represented as linear transformations in Hilbert space, are crucial for understanding observable properties of a system. Hermitian operators, in particular, ensure real observable values.*
07:32:51 *📈 Determinate states, or states with no uncertainty for a given observable, are described by eigenvalue equations where the operator acting on the state equals a scalar (the observable value) times the state, illustrating the eigenstate-eigenvalue link in quantum mechanics.*
07:43:07 *🔍 The eigenvalues of Hermitian operators, which represent physical observables, are always real, ensuring that measurable quantities in quantum mechanics are real numbers.*
07:54:07 *📊 Continuous eigenvalue problems, like the momentum operator, result in non-normalizable wave functions but can still form a complete basis for representing physical states through methods like Fourier transform.*
08:11:33 *🔄 The normalization condition in quantum mechanics ensures that the total probability across all possible outcomes sums to one, whether in discrete or continuous spectra.*
08:19:17 *🔄 Measurement probabilities in quantum mechanics are derived from the system's state representation in terms of eigenstates of the observable's corresponding operator, emphasizing the intrinsic probabilistic interpretation of quantum mechanics.*
08:29:10 *🔄 The generalized uncertainty principle relates the product of the uncertainties in two observables to the expectation value of their commutator, extending the familiar ΔxΔp ≥ ħ/2.*
08:30:07 *🔢 The Schwarz inequality and properties of complex numbers play crucial roles in deriving the generalized uncertainty principle, ensuring the non-negativity of the product of uncertainties.*
08:40:33 *🧮 The uncertainty in measurements of any two quantum observables is bounded from below by the expectation value of their commutator, reinforcing the inherent quantum mechanical limitations on precision.*
08:47:21 *✨ Achieving the equality in the uncertainty relation requires the state vectors corresponding to the observables to be proportional to each other with a purely imaginary constant, pointing to the special role of Gaussian wavefunctions in meeting uncertainty limits.*
08:55:22 *⏳ Energy-time uncertainty is distinct from position-momentum uncertainty because time is not an operator but a parameter in quantum mechanics, leading to a different nature of uncertainty relation involving energy and time.*
09:07:19 *🔄 The energy-time uncertainty relation can be derived from the commutator of an observable's operator with the Hamiltonian, showing that the uncertainty in measurement outcomes depends on how quickly the observable changes.*
09:32:03 *🔗 Angular momentum in quantum mechanics is explored through operators, extending the concept from classical physics and leading to questions about quantization and behavior under quantum conditions.*
09:45:07 *🧮 \(L^2\) (the total angular momentum squared) commutes with \(L_z\), indicating that these two quantities can be simultaneously determined, simplifying the analysis of quantum states with defined angular momentum.*
10:31:12 *🔄 For distinguishable particles, the combined wave function can be expressed as the product of their individual wave functions, highlighting how quantum mechanics accommodates the combination of separate quantum states.*
10:47:12 *📏 The Pauli Exclusion Principle has profound implications, such as determining the structure of atoms and the properties of matter at the quantum level, illustrating the principle's foundational role in quantum mechanics.*
10:57:06 *💭 Reflecting on non-interacting particles adhering to exclusion principles underscores the nuanced implications of quantum mechanics for understanding particle behavior and interactions.*
11:21:56 *🧮 The general solution for a free particle in quantum mechanics, featuring sine and cosine components, underscores the fundamental approach to solving the Schrödinger equation in different regions.*
11:35:06 *🌐 The concept of energy bands in a periodic potential elucidates the quantum mechanical foundation for the behavior of electrons in solids, facilitating a deeper understanding of conductors, insulators, and semiconductors.*
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This is amazing! is there a separate video of the questions being worked out, or other practice problems??
I took a quantum mechanics course in high school in my junior year (last year) and I am very surprised to say this but I understood the entirety of this amazing free video and that my high school covered 95% of the material here and some other topics beyond. It was extremely helpful as a revision though.
Heartfelt thanks, Brant Carlson! We are lucky to be able to access your lectures and learn from you.❤
I'm 17 and already started to fuck up my mind with something fun to learn 😮
same
probability theory and wave distribution portion of this lecture actually helped me understand integral calculus better even though this course considers one has already covered a good deal of integral calculus
4:15 this historical approach is excellent, these 3 experiments are not what is usually explained in relation to QM
The historical approach is very poor QM teaching because what it does is to expose you to all the confusion without telling you about the trivial resolution.
@@schmetterling4477 might be trivial to you.
Your explanation is excellent, and this course in quantum mechanics qualifies you for a nobel prize 🏆.
I am only about 45 minutes into this course, so I still have a lot to see, but this professor and his method of explanation and introduction of the syllabus is astonishing and one of the best I have ever seen, up there with the simplicity and beauty of 3B1B and the mathematical and physics rigor of a textbook.
Finished watching Oppenheimer and all of a sudden quantum mechanics courses video are now showing up
WARNING: The limitations of QM: 1. It doesn't treat time and space the same way and therefore violates Special Relativity; 2. It can't explain the creation and destruction of particles; 3. It only deals with massive particles. And because of these three points Quantum Field Theory was needed.
Everything is grown off something and our size relative to quantum. The gap is too great so we create tools to find/see the differences so we can break them down further and understand what builds what. Light is a particle on the quantum level and when it interacts with things it slows down enough to become color or a frequency. The wavelength is because of its energy which is mass and velocity so super small but amount is... well look around, its overwhelming, we eat light with our eyes and break down the pieces of info like the heat and color and shape and our malleable brain takes the broken pieces in and grows neuron connections with the nutrients of quantum particles and the similar info goes down the path of least resistance. Its like guiding electricity with light, similar wavelengths can connect like water flowing into a rut or least resistance path but once the neurons count the differences it grows connections and passes differences along so more can be used by us. Or thats what i think could be happening.
I’m still working on the concept of infinity that was mentioned early in this series (where the limits of classical physics apparently run aground). Just wondering if anything actually "works" at infinity, or for that matter, whether infinity really exists in the first place? I can see this is going to require more work- like a lot more… maybe infinitely more.
You can play around with infinity, but it's more like a made up tool mathematicians created to make things easier, like imaginary numbers. Doesn't really map to the real world, just one of the many tricks/tools mathematics has to make things work out
my idea of infinity is some quantity that just isn't a number. a fair amount of mathematics really does work at infinity, in very much the same way that non-math fields of study would do their work on those things that are not numbers, or whichever things that to people as such definitely *do* exist, and no less work without ever affording themselves to abandon all quantatitive reasoning (eg. things will always "add up" no matter what, because otherwise you'd know things aren't adding up). infinity not being a number is only a problem because as it happens, math and numbers were kind of made for one another. heck, if math only ever used numbers, there wouldn't even be such thing as a math "problem".
consider how for at least 100 years after being invented, calculus had no rigorous foundation whatsoever. like Ian says, the analysis ("playing around with") of infinities using math totally works, and obviously math remains the foremost tool in actually defining the concept and developing new knowledge of what infinity even is; but i think this shows that no matter the reason mathematics simply can't always be the best tool for the job, and its precisely when the infinities start showing up that you might just begin finding as much.
Infinity is never seen as a value it is more like something that tells u if u go too the bigger and bigger values the answer will get more and more accurate for example sums that get summed up too Infinity of course u never reach it but the Infinity sign tells u too add as much u can too get as close of an answer u need
@@ianclark6730insane comment
@@Tobi21089 A BIG yes........................
This drew me right in. I'll be watching it all. Thank you 🎉
This guy is a very good teacher. Most of this stuff is above me (B.S. Nuclear Engineering, UT-K, 2012) but he does as good as anyone I've heard simplify it.
I don't think some of it CAN be simplified.
As a B.S. in Nuclear Engineering, shouldn't you have a good grasp of QM already?
@@kurtgodel28 depends on what you mean by "good". If you mean "Were you taught the general concepts of the Wave Function and Schroedinger Equation and Nuclear Kinematics?" then Yes. If you mean "can you calculate the wave function of two Hydrogen Atoms interacting?" then No. There was so much to learn in my classes (Reactor Theory, Electrical Control Systems, Thermo, Materials Science, etc.) that we didn't have time to get deep into actual theoretical physics problems. We would hit them on the surface, maybe do a calculation or two, and then move on. In short, I'd say I know way more than the general population, but not compared to an actual physics major.b
@@kidzbop38isstraightfire92 I mean at the level of this video at least. I'm asking because I have a major in Nuclear Engineering also (meaning a 5 year course of study) and Quantum Mechanics was one of our main exams of the 3rd year. In my country, B.S. and M. Sc. were not separate degrees until 20 years ago, so we had fewer but longer courses throughout the year, maybe that explains why we had time to dig into the theory as well.
@@kurtgodel28 ah a fellow NE, good man! Yea so I guess I may have undersold some things now that I'm rewatching the video, almost all of the concepts were taught (although we didn't do much with operators or Hilbert Spaces), I just don't remember the math to solve them. If asked right now, I couldn't solve any of these problems without refresher (varying from a 5-minute review to 1+ hours if it's solving PDEs). Also (and this is the crux of my original comment), while almost all of this content looks familiar and I could solve the equations after refresher, none of it is really conceptualized for me to where I truly understand what it's saying. Sure, I know what orthogonality means, and I know what an infinite potential well means, but the Why's and the Hows and what all of this means in actuality is still outside of my grasp. Like, what does it really mean physically to say that Quantum States are vectors in abstract vector space? What does the Eigenstate of a position representation of the wave physically mean? I'm short, If I was asked by a first-year physics major to explain all of these concepts and why (mathematically) we do them, I'd be lost.... especially now since I haven't seen this stuff in ~15 years.
EDIT: also, we were a 4-year degree, so maybe that extra year gave you all more rigor in the QM aspects...or maybe I was just a bad student 😂
@1:01:47 Can psi's (Ψ) unknowability or ambiguity be a result of Godel's Incompleteness Theorems; i.e. a connection between Gödel's incompleteness theorems and the wave function Ψ in quantum mechanics leaving us with only a ergodic approximation?
Am glad to have the full knowledge in one video ,,how privileged am I when I need this knowledge most am grateful for this akh,,a full unit
It is an amazing time to be alive. You get such quality content for FREE!
Thank you sir you taught me quantum mechanics by early age. Now I am 14yrs, therefore I got a free course from you. Thank you
So, what is the wave function of a single quantum in a gravitational field, kid? ;-)
@@schmetterling4477 dont know if that is right but - Ψ(q, t) = C exp [−i(Et − p · q)/¯h]
@@schmetterling4477 how rude of you
@@Cheetahfy What is? Telling an idiot that he is an idiot? That's just a fact. ;-)
@@schmetterling4477 that’s rude
Bro u'r a legend
Some people don't know how just hard it is to get this kind of knowledge arranged like this
This video is great it helps me to understand quantum physics THANKS!!!
13:30 - WTF? 😁 It is a fair motto of quantum physics)
P.S. This lecture is immensely useful. Thank you very much!
I study biochemistry, always really enjoyed physics but never really understood it, committed to understanding this video
I'm wanting to go to college for physics. So this video is extremely helpful for giving me a head start.
The photoelectric effect was discovered and explored deep enough by Heinrich Hertz in 1887. On the advice of Max Planck, Einstein merely provided interpretations of that effect on the basis of Max Planck's discoveries in quantum mechanics.
Merely? Rather profound to win the prize.
Greatful to have this video on my feed as it is a whole course on QM in a video. So grateful for this amount of knowledge
Just saw this today .... Great ... Will take time to go through the whole ... but I will do it in the coming days ..
Ramanujan number: 1,729
Earth's equatorial radius: 6,378 km.
Golden number: 1.61803...
• (1,729 x 6,378 x (10^-3)) ^1.61803 x (10^-3) = 3,474.18
Moon's diameter: 3,474 km.
Ramanujan number: 1,729
Speed of light: 299,792,458 m/s
Earth's Equatorial Diameter: 12,756 km. Earth's Equatorial Radius: 6,378 km.
• (1,729 x 299,792,458) / 12,756 / 6,378) = 6,371
Earth's average radius: 6,371 km.
The Cubit
The cubit = Pi - phi^2 = 0.5236
Lunar distance: 384,400 km.
(0.5236 x (10^6) - 384,400) x 10 = 1,392,000
Sun´s diameter: 1,392,000 km.
Higgs Boson: 125.35 (GeV)
Phi: 1.61803...
(125.35 x (10^-1) - 1.61803) x (10^3) = 10,916.97
Circumference of the Moon: 10,916 km.
Golden number: 1.618
Golden Angle: 137.5
Earth's equatorial radius: 6,378
Universal Gravitation G = 6.67 x 10^-11 N.m^2/kg^2.
(((1.618 ^137.5) / 6,378) / 6.67) x (10^-20) = 12,756.62
Earth’s equatorial diameter: 12,756 km.
The Euler Number is approximately: 2.71828...
Newton’s law of gravitation: G = 6.67 x 10^-11 N.m^2/kg^2. Golden number: 1.618ɸ
(2.71828 ^ 6.67) x 1.618 x 10 = 12,756.23
Earth’s equatorial diameter: 12,756 km.
Planck’s constant: 6.63 × 10-34 m2 kg.
Circumference of the Moon: 10,916.
Gold equation: 1,618 ɸ
(((6.63 ^ (10,916 x 10^-4 )) x 1.618 x (10^3)= 12,756.82
Earth’s equatorial diameter: 12,756 km.
Planck's temperature: 1.41679 x 10^32 Kelvin.
Newton’s law of gravitation: G = 6.67 x 10^-11 N.m^2/kg^2.
Speed of Sound: 340.29 m/s
(1.41679 ^ 6.67) x 340.29 - 1 = 3,474.81
Moon's diameter:: 3,474 km.
Cosmic microwave background radiation
2.725 kelvins ,160.4 GHz,
Pi: 3.14
Earth's polar radius: 6,357 km.
((2,725 x 160.4) / 3.14 x (10^4) - (6,357 x 10^-3) = 1,392,000
The diameter of the Sun: 1,392,000 km.
Orion: The Connection between Heaven and Earth eBook Kindle
Thanks bruh❤
Nerd
This is really awesome .. thanks for providing full course just in one video
Thank you so much . Truly appreciate your kindness .
Within the first few minutes after the Albert Michelson quote, there was a small error made when discussing Uranus and Neptune. You mixed up the planets is all. By studying and examining Uranus' orbital perturbations, we were then able to discover Neptune. Uranus was discovered ~60 years prior by William Herschel and his telescope.
Thanks for sharing the video btw!
I had to try to keep the faith throughout the video because of this mistake so early. I was so worried that the rest of the course would be plagued by simple mistakes like this. I love the course, but I still have that doubt and I wish it wasn't there!
Thahks for that info,
I got me degrees in psychology and thus only had to survive two semesters of adv. stats. I'm a math moron. I started listening to this fine video out of curiosity because I study quantum physics as a hobby. I was lying in bed w/my laptop watching, and after about fifteen minutes I drifted off in a wonderful nap. It works every time, and I don't mean this unkindly, but because I sometimes don't sleep well at night, a daytime nap can really turn my day around. Thank you, professor, and, at least at a subliminal level, I'm soaking up great stuff!
Thank you for being so incredible as to share your knowledge for free like this! ^~^
Hit the min square! Enjoying your class. Before squeueness. I will continue tonite
A good video to relax after school
This is very helpful. Unfortunately, many lectures in this video were interrupted and it jumps to the next slide before finishing the discussion.
Yes, I found it quite irritating. But overall, it is very well done. One more thing, he keeps referring to a text. Anyone know whether such a text is available? Thank you.
Not sure. Would love to know
👌 can't wait to learn 11 hour
I feel so fortunate to have free access to knowledge like this. Thank you!
I’m 13, but sure why not, I’m still learning about the circumference and how to do area properly, let’s do something I won’t be able to comprehend with a sort of knowledge 👍
Off to a wobbly start 2:51 - Uranus was not discovered by the perturbations of Neptune’s orbit; Neptune was discovered by the perturbations of Uranus’s orbit
Q.M. - TH-cam recommends some excellent videos at times, and this is one of them.
Cheers from England. 👍
Amazing course for final review of QM 1, thank you for this resource!
I was a physics major - half a century ago. Although I ended up doing something else for living, I never lost interest in physics. I will skip this course. But, I would like to pre-register for QFT if it iscoming.
Excellent video. But for accuracy, can I point out a minor error (assuming it has not already been mentioned)?
At about 23:37 it says 10⁻⁶kg = 1 microgram (1μg). That’s wrong by a factor of 1000.
10⁻³kg = 1g and 10⁻³g = 1mg. So 10⁻⁶kg = 1mg, not 1μg,
For a particle of size ~10⁻⁵m and density 1000kg/m³ say, the particle mass is ~10⁻¹²kg.
So a better choice for the mass of the example dust particle would have been 10⁻¹²kg.
The fact that some people do this in university and i'm doing this for fun is fascinating
well we do learn while having fun, maybe :)
I can tell u u will definitely not have the same knowledge as someone studying quantum mechanics for a whole semester 4 hours each week this is probably not even close too it
@@Tobi21089 I'm a applied physics engineering student and QM is one of the many courses we have. This video is close to the basics of the lectures but the difference is in the mathematical proof. Normally we proof and derive everything like the first 3 experiments of this video.
@@sanderb.7813 I study physics too but the classic bachelor and this isn't as deep as a full course in the bachelor it can't be literally that deep because it isn't even that long
How is neuronal plasticity done ?
Taking on new mental challenges. The mind is plastic ( changeable) for life.
Yes happy to be living in this moment.
I let ads play out to their ends, so that you get paid and make more videos. Thank you for your tutorials.
Is that true? Owners of videos only get paid for ads if the viewer watches the whole thing?
@@Pseudify Yes, AFAIK. Watch-time doesn't get you money.
@@Pseudify it depends on the length of it, you only need to watch 30 seconds. So, if its a 30-second ad or lower, then you have to watch all of it, but if its longer, then anything beyond the 30 seconds is useless
Holy shit... This is the holy grail channel...
At 24:20 the video suddenly jumps to the next section in the middle of a sentence. Why ?
It's because this 11 hours video is a shortened version of the actual 22 hours (8 + 14 hours) version.
Here’s the actual full course:
Part 1:
th-cam.com/video/xnt2xSNRNn0/w-d-xo.html
Part 2:
th-cam.com/video/QQCMOc8yB70/w-d-xo.html
Today I discovered the most useful channel for me in youtube. Really the content is so helpful.
This just showed up on my video and I was like - “F*#% it man, I’m gonna do this Quantum Mechanics course”. Props to the teacher
same!
At 1:46:50 there is a gap in calculus
Take f.e. f(x,t)=cos(x^8)/x^3 on [1;infinity). It's in L2 space (i.e. can be integrated twice), therefore limit(f(x,t)) = 0 as x->infinity. But it's derivative not only does not converges to 0 as x->infinity, it is unbounded. Even f(x,t)*(df/dx) is unbounded
Is there any reason why wave function cannot behave like function I mentioned above? Maybe, it can be derived from Shrodinger equation?
it’s crazy that we can access a course on one of the most confusing topics their is in the universe
It's even crazier that you want to access this video yet you don't know how to properly use there/their/they're
@@pins849 clearly a typing error, how motivated do you have to be to take time out of your day to correct such a mistake and not appreciate what i said.
i assure you that your intellect is far lower then you believe it is to be.
@@pins849
But why?
Thank you for uploading this video. I can’t wait for courses on what I call transitional physics which is the bridge between Newtonian physics and QM. The line between the microscopic and macroscopic is what we need to understand so we can start to manipulate it and start getting access to really cool stuff.
Could you do another video like this but for special relativity and general relativity, thermodynamics and particle physics/nuclear physics? Thank you 😊
You made a mistake at 53:15, since the real part of this complex number is not d-yc, neither the imaginary part is ixc, exactly because of the denominator being a complex number too. You must refer back to your previous page and check the real and imginary parts while your denominator is f^2+g^2. However, im a mathematician looking to learn QM and you explain really well so far.
Great content! However, several lectures end abruptly mid sentence and the next one starts. I hope this can be fixed.
It's because this version is a 22-hour course shortened to 11 hours. Full 22-hour course is available in 2 parts. (8+14 hours)
Here's the actual FULL COURSE.
📌️Part 1:
th-cam.com/video/xnt2xSNRNn0/w-d-xo.html
📌️Part 2:
th-cam.com/video/QQCMOc8yB70/w-d-xo.html
@@SGayanFernando Thanks so much! So this version is stolen content then?
@@SGayanFernando The actual original version is here: th-cam.com/play/PL65jGfVh1ilueHVVsuCxNXoxrLI3OZAPI.html
The ones you linked are also broken copies of the original
@@SGayanFernando This info definitely should be in the desciption of this video.
What beautiful explanations of an extremely complex topic. I like it that you don't rely on the formalism from the beginning. I've put myself through several QM "courses" from MIT, Stanford, etc., and found this to make the most sense from the beginning. At the beginning of the math explanation (part 4?), it would have been nice to know why we were going to do that; i.e., what is the purpose of rectangular/polar form of manipulating x, y, z, i, etc. around each other.