What MIT has been doing for the last decade is give free access to classes that are better than what most university students in the world are paying tuition for. Granted, you don't get a degree nor the benefit of social interaction with other students and professors, but to the student who is willing to put in the time and effort, this is an unbelievable treasure.
I agree! At age 71 I am now auditing on TH-cam, for free, the lectures on QM that I wish I could have had when I was a sophomore in college, in 1970. The QM lectures I tried to follow at my college then were, as I perceived them, unacceptably awful, and I simply stopped going. Quitting the course like that, on impulse, was foolish of me, and the resulting academic failure was entirely my fault. Yet the fact remains the few lectures I did attend were terrible --- and these MIT lectures are fantastic, superb.
I invite you to read about Islam , I'm an energy engineer..and love physics, I studied Islam and found it the unique religion that's based on proofs and evidences..,I highly recommend you honestly from the bottom of my heart. all of us will die someday..plz read about it to see the truth for yourself..
But they removed students asking doubts, which is like grave sin, gods doubts and doubt resolving is key to the classroom efficacy, because instructors cannot say everything.
Pardon me, but I really like his accent, it is so magical like a magician in Hogwarts, and I can't stop extending my fond to quantum physics because of him, his charming accent and slow speaking speed ❤️❤️❤️
I am truly grateful to MIT for giving us the opportunity to access this knowledge. Physics is not my major, but I have loved it since I was a child. Currently, I am a first-year student majoring in communications in a country halfway around the world from the U.S., but my passion for physics has never faded. I have decided to self-study and gain more knowledge every day. Today is my first day, so I wanted to leave this comment to express my gratitude for this incredible resource and to make a commitment to myself to study hard every day.
@nPlatin You didn't really refute his point with that link. Do you really believe that all of those people on that list became what they are 'just' by listening to lectures? Autodidacts have to practice and discuss exercise sets too - just in an environment outside of the classroom.
Dr. Barton and I studied at the same faculty in the same year, 1972. The National University of Engineering of Peru is a historically recognized center of studies because the entrance exams are very rigorous and difficult. Once accepted, on the scale of 0-20, the average student scores between 13 and 15. There are rarely students who get perfect scores. Barton was one of them. Barton earned his Ph.D. in 1983, under the supervision of Murray Gell-Mann. He held postdoctoral positions at the University of California, Berkeley, and MIT, where he became an adjunct professor of physics in 1987 and a permanent faculty member in 1994.
I am really really grateful to MIT for providing these online lectures and i also admire the instructor Barton Zwieback for his teaching method thanks MIT
Thank you MIT OCW for bringing the excellent source of lectures to the open world so that everyone can get knowledge and strive to make some contribution after learning it
The special ability to portray on a proper blackboard and chalk is shown here in it's entirety. I remember my physics teacher at secondary school, chalked in a very similar way to Barton, but the joined up writing was almost illegible, the speed he did it!
Siempre una pequeña emoción de ver a un peruano triunfando en el extranjero y mejor si es de mi univ , de mi humilde UNI Tendré un susti en 2 días , te dedido mi próximo 20 querido Barton :")
I am very grateful to have this available completely for free and it's quite refreshing in today's world of paid courses. Great Initiative of Everybody involved!
It's a very good chance to listen and watch MIT courses (such as being a student in a real university) whoever curious (not only students but also researchers and curious persons) wherever in the whole-world.
"Why must there be complex numbers in quantum mechanics? Because the Schrödinger equation already has an "i" in it" - this is one brilliant explanation!
We don't have to. There is a version that uses quaternions. It just doesn't add anything as far as I know. Neither would a version that would remove "i" and use a vector representation with two real numbers help in any way.
just 3 minutes watched the starting lecture, decided to learn full course videos. thanks for sharing the videos, i will try to utilise to my fullest potential. Thanks to instructor also. :)))
@16:13 This is (IMHO) very weird notation. What L = d/dt + 1/tau means is that we are defining L to be an operator, and when you apply that operator to some quantity u, then the result is du/dt + u/tau. One problem that I have with this notation is that Lu suggests that we are simply multiplying d/dt + 1/tau with u, but that's not what's going on. Rather, what this definition of L tells us to do with u is take the derivative with respect to t (plus some other stuff), which is emphatically NOT multiplication. Of course, every linear operator can be expressed as a matrix multiplication (with respect to some basis), which explains why we write Lu, but it's kind of confusing to present it this way without reminding everyone that linear operators and matrices are "the same thing".
So you are not in it for physics but just for the status. Physics today is more of a hoax than really learning about the nature of objects and processes (while what appears to us as an object also is a process - and the other way around...depends on the angle and distance of view).
@@michaelwerd4825 Bro it could be the interest too.I always aspired to become astrophysicist but due to some problem during entrance,I couldn't get sufficient rank to get a engineering physics course at a good college .So I now chose job security and studying C.S. but here I am also perceiving my interest side by side!❤️
@@michaelwerd4825 It's absolutely okay if he wishes for more opportunities. In MIT, you'll come across brilliant people from around the world. The environment also affects the way you learn and understand.
I am 13 trying to get a job at a nuclear plant. Now to do so I only require I high school diploma but to really stand out I am learning this before going to college for the actual diploma. This first lesson I understood very well. Thank you for this.
I thought there was going to be four more theories in that episode. I studied derivatives in first year calculus. It’s fairly interesting. I also studied quantitative methods in quantitative economics so I have seen multiple variable analysis in large equations and scatter plots with discrete, unknown and known variables, hypothesis and null hypothesis examples, practices and methods applied mostly to the household. However there’s many application processes. I have also studied linear programming in C# programming. I enjoyed the interpretation of the maxwell equation with four variables and the pairings are quite interesting for application selection. I also liked the practicality of the graph axis explanation and combining the the known and unknown variables. Curious about the gravity equations inclusions into the applications.
The centenary of quantum theory (as opposed to quantum mechanics) was on December 14, 2000. That was, to the day, 100 years after Planck solved the ultraviolet catastrophe by introducing the constant now named after him and the notion, to which he gave no physical basis at all, that a blackbody cavity cooled down but radiating light in what he called "quanta" or "packets". In 1905 Einstein interpreted Planck's notion of quanta as discrete particles of light. He found this was helpful in giving a theoretical model of the photoelectric effect, discovered by Hertz and studied by Philipp Lenard. Light, said Einstein, was emitted and absorbed as corpuscles. When he calculates the energy of the photons using Planck's constant, it is the first time a wave-type of equation is connected with the idea of corpuscles. This will become known as wave-particle duality. In 1913 Niels Bohr used the notion of non-decaying orbitals in the hydrogen atom to model and compute hydrogen's spectral lines, the infamous Balmer and Paschen lines. You could make a case that the mechanics part of QM started here since everything which has come since is a theoretical refinement on these ideas. In 1924 De Broglie wrote the first equation for the momentum of a free particle in terms of a matter wave and used that to show that Bohr's orbitals had the property of periodicity of the matter wave. No question that was a big breakthrough. But yeah, 1925 is the big one. That's a watershed year. That's when Schroedinger and Heisenberg both formulate a non-relativistic version of QM and use this bizarre notion of matter waves to describe free particles as de Broglie had, but also the bound states of particles. That same year you also get Max Born writing a paper with Heisenberg and Jordan on the inherently statistical nature of QM. This was a shocking development in theoretical physics: it is a seminal paper in which matrices are introduced into theoretical physics with aplomb and their non-commutative algebra is also discussed. Many of the key elements of quantum theory we know and love arrive in 1925.
The association of the main numbers in the field of mathematics with each other, reflects numerical sequences that correspond to the dimensions of the Earth, the Moon, and the Sun in the unit of measurement in meters, which is: 1' (second) / 299792458 m/s (speed of light in a vacuum). Ramanujan number: 1,729 Earth's equatorial radius: 6,378 km. Golden ratio: 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) Golden ratio: 1.61803... (125.35 x (10^-1) - 1.61803) x (10^3) = 10,916.97 Circumference of the Moon: 10,916 km. Golden ratio: 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 ratio: 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. Golden ratio: 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. Numbers 3, 6 & 9 - Nikola Tesla One Parsec = 206265 AU = 3.26 light-years = 3.086 × 10^13 km. The Numbers: 3, 6 and 9 ((3^6) x 9) - (3.086 x (10^3)) -1 = 3,474 The Moon's diameter: 3,474 km. Now we will use the diameter of the Moon. Moon's diameter: 3,474 km. (3.474 + 369 + 1) x (10^2) = 384,400 The term L.D (Lunar Distance) refers to the average distance between the Earth and the Moon, which is 384,400 km. Moon's diameter: 3,474 km. ((3+6+9) x 3 x 6 x 9) - 9 - 3 + 3,474 = 6,378 Earth's equatorial radius: 6,378 km. By Gustavo Muniz
The names being mentioned at the beginning-Schrodinger, Heisenberg, Planck, Einstein sends a shiver down your spine when you realise this is cutting edge stuff by some of the most brilliant minds of the scientific community.
@@IamLegend573 Sorry to take so long to get back to you. I'm reviewing QM this summer. Okay, so Adams is a great guy, and has great presence and delivery. But Zweibach gets into the details a little better, more like my two courses in QM. There are a few "start to finish" QM course playlists here on TH-cam, Zweibach has QM 803.4, .5, and .6. There's Brant Carlson's review of Griffith's text. There are a couple of others. My QM professor told me that yo have to forget something three times before your remember it. So....
16:55 How do you write an operator alone if it contains non-linear component, such as Lu = d(u^2)/dt + 1 ? Does it mean that an operator has to be linear? Thx!
There is no standard way to notate It alone in that case But you can still define an operator such as what you did And you could still invent new notation in which its specified
What MIT has been doing for the last decade is give free access to classes that are better than what most university students in the world are paying tuition for. Granted, you don't get a degree nor the benefit of social interaction with other students and professors, but to the student who is willing to put in the time and effort, this is an unbelievable treasure.
I agree!
At age 71 I am now auditing on TH-cam, for free, the lectures on QM that I wish I could have had when I was a sophomore in college, in 1970.
The QM lectures I tried to follow at my college then were, as I perceived them, unacceptably awful, and I simply stopped going.
Quitting the course like that, on impulse, was foolish of me, and the resulting academic failure was entirely my fault.
Yet the fact remains the few lectures I did attend were terrible --- and these MIT lectures are fantastic, superb.
Indeed.
Stanford does that too.
Best content on the internet.
❤
In Germany Uni education is free. A lot of TH-cam material is bad, but this is not one of those cases!
I'm 69 yrs old, had calculus based physics in college when I was about 37. i barely passed but loved it. I want to learn more.
are you an engineer? Did you take statics I'm struggling with it..
you are doing a great job! this comment made me happy!
@@3zombie81 I think statics is easy dude..
Nice
I invite you to read about Islam , I'm an energy engineer..and love physics, I studied Islam and found it the unique religion that's based on proofs and evidences..,I highly recommend you honestly from the bottom of my heart.
all of us will die someday..plz read about it to see the truth for yourself..
Happy 100 years of quantum mechanics!
I feel very proud because Dr. Barton is from my FIEE faculty at UNI in Lima, Peru.
Hay Internet en Perú?
@@phantom2.065ERES CHILENO?
@@nichokind5233 más allá de su nacionalidad, debe tratarse de un completo retrasado.
@@phantom2.065 xddd no opines subdesarrollado
@@phantom2.065estas viendo un video de un Peruano egresado de una universidad peruana que dicta clases en MIT
I am 15 years old and I am watching this for free, we are blessed to be in this age of information.
Not sure about the blessed part, but with our increase knowledge of science and technology, videos such as this one are accessible to everyone. Enjoy!
Fr dude I’m 16 able to try and comprehend these advanced terms well in advance to when I’ll need them mastered. This age is truly revolutionary
Im also 15 years old
I am also 15 dude amazing
I am 14. Truly amazing!
I love the fact that 8.04 has been segmented into smaller videos. This makes it much more easier to learn. Thank You so much MIT OCW.
But they removed students asking doubts, which is like grave sin, gods doubts and doubt resolving is key to the classroom efficacy, because instructors cannot say everything.
Mee too love this course
I'm french, and it's so easy to understand him because he speaks slowly. Very good job also !! Thanks so much
Bonjour, we are jealous of you!
Bonjour , je habite a india . Comment cava ???I learnt french in school
Pardon me, but I really like his accent, it is so magical like a magician in Hogwarts, and I can't stop extending my fond to quantum physics because of him, his charming accent and slow speaking speed ❤️❤️❤️
@@inspirex1831hii I just saw your comment and want to have a update on your french vocabulary. Did you improve ? And if yes how much ?
Wow, what a precious opportunity to have this education. thank you MIT OCW for making this possible for everyone!!!!
I am truly grateful to MIT for giving us the opportunity to access this knowledge. Physics is not my major, but I have loved it since I was a child. Currently, I am a first-year student majoring in communications in a country halfway around the world from the U.S., but my passion for physics has never faded. I have decided to self-study and gain more knowledge every day. Today is my first day, so I wanted to leave this comment to express my gratitude for this incredible resource and to make a commitment to myself to study hard every day.
These professors of MIT OCW are amazing .
I understood all the concepts very easily.
The way teach is awesome.
I like learning at M.I.T at the comfort of my home!
@nPlatin You didn't really refute his point with that link. Do you really believe that all of those people on that list became what they are 'just' by listening to lectures? Autodidacts have to practice and discuss exercise sets too - just in an environment outside of the classroom.
@Hugh Jones wow a comment i actually appreciate from the deepest of my conscience
Sezbeth C thank you
This comment holds greater meaning in 2020
@@themooseyoyos True.
Quarantine second month : now I am done with series lets study some quantum physics
WOW! i'm 69 and just starting this series.
@@jackyfelder2563 how is it going?
@@alwaysbored47 He won the Nobel Prize this year
@@peeper2070 what is his name ? Can u please tell me
Dr. Barton and I studied at the same faculty in the same year, 1972. The National University of Engineering of Peru is a historically recognized center of studies because the entrance exams are very rigorous and difficult. Once accepted, on the scale of 0-20, the average student scores between 13 and 15. There are rarely students who get perfect scores. Barton was one of them. Barton earned his Ph.D. in 1983, under the supervision of Murray Gell-Mann. He held postdoctoral positions at the University of California, Berkeley, and MIT, where he became an adjunct professor of physics in 1987 and a permanent faculty member in 1994.
Happy centenary of quantum mechanics🎉
I am really really grateful to MIT for providing these online lectures
and i also admire the instructor Barton Zwieback for his teaching method
thanks MIT
I love how he just laugh from pure joy
Thank you MIT OCW for bringing the excellent source of lectures to the open world so that everyone can get knowledge and strive to make some contribution after learning it
This professor’s handwriting 😍
Love You MIT!
The special ability to portray on a proper blackboard and chalk is shown here in it's entirety. I remember my physics teacher at secondary school, chalked in a very similar way to Barton, but the joined up writing was almost illegible, the speed he did it!
Siempre una pequeña emoción de ver a un peruano triunfando en el extranjero y mejor si es de mi univ , de mi humilde UNI
Tendré un susti en 2 días , te dedido mi próximo 20 querido Barton :")
I am learning from MIT all times, I hope this is my best School for learning
MIT is very good indeed
I am very grateful to have this available completely for free and it's quite refreshing in today's world of paid courses. Great Initiative of Everybody involved!
This helped me through my Quantum Mechanics class during covid when my professor just stopped having lessons all together.
It is so good and I think it is enjoyable. The fact which is a bit sad is, I found it out just now, not earlier.
It's a very good chance to listen and watch MIT courses (such as being a student in a real university) whoever curious (not only students but also researchers and curious persons) wherever in the whole-world.
Spending time wisely during lockdown by watching MIT OCW lectures 🙌
Hii
This introduction to Quantum Mechanics was incredibly clear and insightful. I'm Excited to dive deeper into this fascinating field!
I feel proud to see a countryman teaching at MIT. I am from Peru.
You're the best prof. Zwiebach
2X the normal speed will save a lot of time and the pace sounds very normal. Thank you, MIT.
Thank you for the suggestion, but these are perfect for my specific brain at 1x.
I think anything less than 5x is a bore
Barton, un orgullo peruano 🇵🇪
Way of speaking is so understanding!! 🤗
Outstanding professor. Exceptional didactical capabilities.
THANK YOU MIT. YOU ARE AN ANGEL IN OUR MORTAL LIVES !!!!!
If we get teachers like you we will master in physics or in any subject
If you put it on 2x you'll be listening to a friend who is explaining something they like
I absolutely love these classes.👌
"Why must there be complex numbers in quantum mechanics? Because the Schrödinger equation already has an "i" in it" - this is one brilliant explanation!
We don't have to. There is a version that uses quaternions. It just doesn't add anything as far as I know. Neither would a version that would remove "i" and use a vector representation with two real numbers help in any way.
I am excited to have found this. You guys are amazing.
This is something I always wanted to learn. Thank you MIT OCW.
danielgr86 What do you suggest?
8.04 l1.3
This is a marvelous expanded quantum theories 👍
WOW! I'm in the year 2025 and I only just now know that these quantum physics classes are available at MIT from YT 🤯
just 3 minutes watched the starting lecture, decided to learn full course videos. thanks for sharing the videos, i will try to utilise to my fullest potential. Thanks to instructor also. :)))
Greetings from Brasil and thks US and MIT.
He sounds like a chill guy
I appreciate all of these courses tremendously!
So...I can take this class on TH-cam?! I'm so happy....but I may never leave the house again after finding this and other amazing courses!
haha, agree. love it. thanks MIT
he is like dr.strange with an accent. these are the best lectures in the quantum mechanics on you tube as far as i know.
See V. BALAKRISHNAN lectures on u tube IIT MADRAS
@@tousifalam1681 tq will definitely check them out. Any lecture in particular, is better than others among these IIT lectures?
MIT saved my life.
Thank you MIT for this new version
What a beautiful explanation of linearity.
@16:13 This is (IMHO) very weird notation. What L = d/dt + 1/tau means is that we are defining L to be an operator, and when you apply that operator to some quantity u, then the result is du/dt + u/tau. One problem that I have with this notation is that Lu suggests that we are simply multiplying d/dt + 1/tau with u, but that's not what's going on. Rather, what this definition of L tells us to do with u is take the derivative with respect to t (plus some other stuff), which is emphatically NOT multiplication.
Of course, every linear operator can be expressed as a matrix multiplication (with respect to some basis), which explains why we write Lu, but it's kind of confusing to present it this way without reminding everyone that linear operators and matrices are "the same thing".
I committed to be a physics student at MIT one day.
So you are not in it for physics but just for the status.
Physics today is more of a hoax than really learning about the nature of objects and processes (while what appears to us as an object also is a process - and the other way around...depends on the angle and distance of view).
@@michaelwerd4825 Bro it could be the interest too.I always aspired to become astrophysicist but due to some problem during entrance,I couldn't get sufficient rank to get a engineering physics course at a good college .So I now chose job security and studying C.S. but here I am also perceiving my interest side by side!❤️
@@michaelwerd4825 It's absolutely okay if he wishes for more opportunities. In MIT, you'll come across brilliant people from around the world. The environment also affects the way you learn and understand.
Expressing gratitude from India.
Thanks MIT OCW for sharing. Wonderful to learn from great teachers
I’m only thirteen studying this course by option here in Kentucky and it truly is explained in a great way I can understand it. Thank you.
Im 6 years old. This course is explained so well too. I now understand how to solve quantum gravity.
Any idiot can click on a youtube video, go somewhere else if you want attention, no one here gives a fuck how old you are
I am 13 trying to get a job at a nuclear plant. Now to do so I only require I high school diploma but to really stand out I am learning this before going to college for the actual diploma. This first lesson I understood very well. Thank you for this.
work at spacex or nasa
Such a good lecture. Congrats professor.
I don’t understand this lectur. Please tell me about prerequisite thing to understand this course
Its 2024 sir congratulations
2025 actually
that's what its all about - i think - feed me - more input
excellent thanks to all at mit
You explain very clearly thank you so much!!!
Excelent teacher Bartton from Perú
I thought there was going to be four more theories in that episode. I studied derivatives in first year calculus. It’s fairly interesting. I also studied quantitative methods in quantitative economics so I have seen multiple variable analysis in large equations and scatter plots with discrete, unknown and known variables, hypothesis and null hypothesis examples, practices and methods applied mostly to the household. However there’s many application processes. I have also studied linear programming in C# programming. I enjoyed the interpretation of the maxwell equation with four variables and the pairings are quite interesting for application selection. I also liked the practicality of the graph axis explanation and combining the the known and unknown variables. Curious about the gravity equations inclusions into the applications.
this is brilliant love it
“Why the laugh?”😂
This is unreal, I get to go to MIT!
Watching my 9th MIT lecture series and outperforming my knowledge
I have a great feeling that this teacher is super.
Everyone should donate to OCW, they put a lot of effort into something most colleges don't even think of
wow this is so well organised! best on QM ever seen
It's very important for me, physics student.
The centenary of quantum theory (as opposed to quantum mechanics) was on December 14, 2000.
That was, to the day, 100 years after Planck solved the ultraviolet catastrophe by introducing the constant now named after him and the notion, to which he gave no physical basis at all, that a blackbody cavity cooled down but radiating light in what he called "quanta" or "packets".
In 1905 Einstein interpreted Planck's notion of quanta as discrete particles of light. He found this was helpful in giving a theoretical model of the photoelectric effect, discovered by Hertz and studied by Philipp Lenard. Light, said Einstein, was emitted and absorbed as corpuscles. When he calculates the energy of the photons using Planck's constant, it is the first time a wave-type of equation is connected with the idea of corpuscles. This will become known as wave-particle duality.
In 1913 Niels Bohr used the notion of non-decaying orbitals in the hydrogen atom to model and compute hydrogen's spectral lines, the infamous Balmer and Paschen lines. You could make a case that the mechanics part of QM started here since everything which has come since is a theoretical refinement on these ideas.
In 1924 De Broglie wrote the first equation for the momentum of a free particle in terms of a matter wave and used that to show that Bohr's orbitals had the property of periodicity of the matter wave. No question that was a big breakthrough.
But yeah, 1925 is the big one. That's a watershed year. That's when Schroedinger and Heisenberg both formulate a non-relativistic version of QM and use this bizarre notion of matter waves to describe free particles as de Broglie had, but also the bound states of particles.
That same year you also get Max Born writing a paper with Heisenberg and Jordan on the inherently statistical nature of QM. This was a shocking development in theoretical physics: it is a seminal paper in which matrices are introduced into theoretical physics with aplomb and their non-commutative algebra is also discussed. Many of the key elements of quantum theory we know and love arrive in 1925.
The videos are very well organized.
Гений, просто гений. A genius, just a genius.
The association of the main numbers in the field of mathematics with each other, reflects numerical sequences that correspond to the dimensions of the Earth, the Moon, and the Sun in the unit of measurement in meters, which is: 1' (second) / 299792458 m/s (speed of light in a vacuum).
Ramanujan number: 1,729
Earth's equatorial radius: 6,378 km.
Golden ratio: 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)
Golden ratio: 1.61803...
(125.35 x (10^-1) - 1.61803) x (10^3) = 10,916.97
Circumference of the Moon: 10,916 km.
Golden ratio: 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 ratio: 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.
Golden ratio: 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.
Numbers 3, 6 & 9 - Nikola Tesla
One Parsec = 206265 AU = 3.26 light-years = 3.086 × 10^13 km.
The Numbers: 3, 6 and 9
((3^6) x 9) - (3.086 x (10^3)) -1 = 3,474
The Moon's diameter: 3,474 km.
Now we will use the diameter of the Moon.
Moon's diameter: 3,474 km.
(3.474 + 369 + 1) x (10^2) = 384,400
The term L.D (Lunar Distance) refers to the average distance between the Earth and the Moon, which is 384,400 km.
Moon's diameter: 3,474 km.
((3+6+9) x 3 x 6 x 9) - 9 - 3 + 3,474 = 6,378
Earth's equatorial radius: 6,378 km.
By Gustavo Muniz
Thank you sir excellent lectures🎉
The names being mentioned at the beginning-Schrodinger, Heisenberg, Planck, Einstein sends a shiver down your spine when you realise this is cutting edge stuff by some of the most brilliant minds of the scientific community.
It was cutting edge in 1927. That was almost a hundred years ago. Today this level is absolutely trivial.
Grade 10 here, I love this stuff! Happy to learn it
I LIKE MIT VERY MUCH
Anyone from sambucha?
Yeah from the mindgrasp ad
@@akshithjha9397 yep
yea
Yep
Yeah😂😂
I noticed that there are two different courses, from 2013 and 2016.. anyone has and opinion on which one to watch, or to watch first..?
They are the same course. Watch this one since 8.05 and 8.06 is also taught by the same person
You can run this at 2X speed and it's still understandable. Compare this with Allan Adams's version of this course.
Which is better btw ?
@@IamLegend573 Sorry to take so long to get back to you. I'm reviewing QM this summer. Okay, so Adams is a great guy, and has great presence and delivery. But Zweibach gets into the details a little better, more like my two courses in QM. There are a few "start to finish" QM course playlists here on TH-cam, Zweibach has QM 803.4, .5, and .6. There's Brant Carlson's review of Griffith's text. There are a couple of others. My QM professor told me that yo have to forget something three times before your remember it. So....
Thank you so much for this opportunity, but, maybe you can share some mathematical physics courses 😶 pls.
1:05 Its 2025, I am here.
Excellent lecture by an excellent professor.
我虽然是业余爱好者，但是我仍能看懂大部分内容！
Although I am an amateur, I can still understand most of the content!
Im so done with my life so im thinking of learning this to do something productive.
Thank you MIT
What a great Professor!
I like to learn from his lecture.
Thanks for aploding OCW
Thank You Mit😘
Embracing this in 2025
From India I love MIT lectures
Simply Elegant!!!
Thanks a lot MIT
16:55 How do you write an operator alone if it contains non-linear component, such as Lu = d(u^2)/dt + 1 ? Does it mean that an operator has to be linear? Thx!
There is no standard way to notate It alone in that case
But you can still define an operator such as what you did
And you could still invent new notation in which its specified
Love you MIT for opencourseware
This is actually a really interesting topic that instead of watching family guy to sleep i will watch this maybe i will wake up smarter