I think the reason why this video explains things so well's because of the visualization factor. In college, every time I didn't understand something (especially when it came to math) I'd ask the teacher to give me an example by drawing a graphic. It really helped a lot and made me think that not doing so is a big part of why mathematics, physics and other matters alike seem more difficult than what they really are
Not just that. There are all kinds of visualisations available in the last 10 years but none so far was so good as to grasp the essentials. The complex-valued wave function, its spread, and the Fourier transform.
In University Physics you’re expected to draw your own diagrams. Free Body diagrams and Ray Tracing, Circuits, E field, B field, Lorentz Force. I had to do an equation for homework that was how fast would a roller coaster loop have to go if it had an Elephant on it. I had fun with that one😂
I honestly don't think I've ever seen a more complete, accurate, and easily to understand visualization of such a complex subject (or at least, what others have made it out to be) in my life. Amazing. If only all subjects (computer science here) could be so perfectly visualized. I've never before realized how truly important it is to have an explanation of complex material/subjects be explained and visualized in an understanding way and how much you can learn based off this sort of material. I wish my professors could explain these subjects like this as a background, and THEN delve into the complexities. We'd all be better off for it, and I think learn much more in the end.
Synkronization Totally agree, very attractive to do a streamlined rundown of a thing-reminds me of the tone of the How It’s Made series. It’s way more coherent to pair visual and technical, so long as the animation is accurately translating the mathematical description of the phenomenon.
Synkronization I sent my friend this video to explain this whole concept, since it is at the core of very many micro mechanical concepts of reality of which I touch into
It's actually not that complex. I suspect the word you want is "subtle". QM is very subtle in manifold ways. PS: As a third-rate physicist I'm here to say that I'm a third-rate physicist.
A physics student is pulled over by a cop who asks him "Do you know how fast you were going?!" The student replies "No, but I know EXACTLY where I am!"
... now the cop is getting suspicious. He opens the trunk and asks the student “Since when did you have a dead cat in the trunk?!” The student replies “Since you opened my trunk.”
@@aslpuppy1026 The cop says he'll flip a coin to decide whether the student gets to leave or get a ticket first. heads is ticket, tails is leave. the coin lands tails, and the student pumps his fist. the cop asks, "why'd you pump your fist?" The student states "I knew I wouldn't get a ticket!"
The final part of the video visualized well how uncertainty decreases exponentially as you approach macroscopic scales. It's at this point where classical physics becomes a very good approximation.
There's nothing wrong with classical physics. It just doesn't work on a quantum level. But it works well enough that they can predict planetary orbits using laws of gravity and planetary motion developed by the likes of Newton and Kepler hundreds of years ago. Well enough that we sent men to the moon using Newton's laws of gravitation. And likewise, quantum mechanics is great for explaining how a single particle might behave. But not so great for large scale. And the analogies go on.
As a physicist I have to thank you for making this video. Simulations like these are more tangible and easier to digest for younger minds. Your effort is greatly appreciated.
by all means explain how Heisenberg equations fit in to this model , as this would suggest a breaking of the wave function and not in the way explained
This is exactly what TH-cam needed. tired of all the metaphor in explaining quantum physics, this comes straight from the horse's mouth, with the horse being mathematics.
Several reasons. These videos take a lot of work, especially this one. Also, it usually takes me time to decide on the next project, and I do a lot of different other stuff in between. I hope the next video won't take so long (as I said many times before).
Been reading books about quantum mechanics for years, and I've never completely understood nor could I tie everything together, this video explained things SO well, I almost cried. Awesome video.
First time I've ever actually managed to understand an explanation of quantum physics. With how everything was worded, I was actually able to intuit things ahead of time, and that pleases me more than I can describe. Thank you for this wonderful video.
Remarkable. So the more massive an object (compared to an electron), the less of an effect uncertainty has. So when you get to the macroscopic level, it's a concept completely foreign to an observer. This is why Newtonian physics is such a natural conclusion, because quantum effects are so negligible at our level.
Well things are not so easy unfortunately, otherwise the Schrödinger's cat paradoxon had no sense to be. For example there are Bose Einstein condensate which contain thousands of atoms, still they show nice QM behaviour.
I hate those too, they think they're simplifying but really they just make the content more complicated by creating a false perception of what is going on. I especially hate it when the lesson is 10% actual science and the rest is just analogies for entertainment purposes. It's so hard to find decent visualizations like this one.
I am the beginning and I am the end, and I have written them both, 0, and 10,000,000,002,020 for you to be in. How can you be conscious if you are not conscious-0-of beginning consciousness? How can you be conscious of where you stand if the time the ground has recorded as being there is not now playing in your conscious moment? You cannot be defined by what you don't. Is Eternity there? Put it there 10,000,000,002,020 and find out.
With Richards comment “understand” applied properly to the world would be a perfect word for infinite. Sad that humbleness turns one into a plea to oneself to be cleansed of moral ownership to ones to idea. As we all like to propose theories in some form and for one to propose a theory, it could then be said they do actually have an understanding of some form of some part to form the theory. And that belief in itself can be grown into reality to be considered understood. However as humans why would we take that on? Why make are lives more difficult. Their is no reason other then to have the motivation to bring that idea to the front of what it is everyone will believe in. Repeat a message enough times, right? “We all have an understanding in our own minds and that simply is enough to say that is why we are here today.”
Well, that sentence refers to its interpretations. I studied a degree in physics, master in theoretical physics and I'm about to start a PhD in particle physics so: yes, I understand quantum THEORY but I don't understand at all how the f*** the world apply those weird properties of the theory...
Whilst I'm not a fan of skipping over equations, derivations and insights from pure maths, quantum mechanics is a vast, complex, in depth subject, and is usually bogged down in mathematics, so it is often highly misunderstood by alot of people (to the dismay of the average person who wants to learn about the laws if physics, not the law of attraction). This video makes the key concepts of quantum mechanics (uncertainty, fourier transforms, wavefunctions, position and momentum bases, measurement, collapse, and the classical limit) very easy to understand conceptually, and it is also very accurate and concise. It doesn't bring up interpretations, spend 10 minutes despairing about the measurement problem, EPR or philosophy, and also doesn't throw 300 equations at you wihout explanation (school systems take note). Overall a really good video for anyone who wants to get unto quantum mechanics.
@pyropulse Yeah i agree it is very susccinct and without fluff. What i meant is that, to the average person, searching online you find either highly technical and mathematically rigourous videos and lectures, or, as you said, videos that are borderline lying to the viewer, shrouding the subject in fluff and mystery. This video demonstrates the key mathematical concepts with essentially no actual maths and is succinct and accurate.
Yet the video couldn't let go of macro-morphist analogy like "particle" and "measurement" even though they avoided mentioning the disastrously misleading "observer" metaphysics
I am a Physics student. This video was incredibly helpful. I will watch it several times again to embed all the visualization in my mind for further use. Thank you so much. This video exactly fulfilled what I lake for several years.Truly appreciate it.
When I was at uni, I found some similar interactive simulations at www.falstad.com/mathphysics.html#qm I definitely recommend these to any physics student, since they not only apply these concepts to more complex systems, the ability to tweak the parameters gives a lot of intuition quickly.
It may help to know that the spiraling is happening in the complex plane. She never said it, but the direction "into the page" is the imaginary numbers. So this is a free particle plotted on the position plane (a complex plane) over time. The "straight on" view angle is such that you only see the projection of the "real" number portions of the wave function. When you can see the spiraling, that's happening in the complex numbers.
No and yes? On the surface not really complicated animations but beneath the surface quite complex and bloody amazing work. Looking at the same thing from many points of view. Thank you!
The las bit where the mass is increased and therefore the uncertainty shrinks. Is that the reason why we don't see QM effects in our macro scale world?
Personally, I think it's more complex than that. I think that the reason is that the only quantum states that are stable over a long period of time and larger distances (aka that what we can observe as the apparent reality) are those that correspond to "classical" states; therefore only classical states make up our reality; but doing a measurement of a microscopic quantum state still escalates the microscopic and short term (the time at which the measurement was done) to the macroscopic, resulting in a projection of the classical states (ie, being detected, or not being detected) that the measured microscopic system is a superposition of into a macroscopic wave function that is best understood as existing of different realities. This is the many world interpretation of QM.
If your detection machine (your eye) spans across a much bigger section of this visualized line then you're far more likely if not certainly going to detect it, multiply that a few billion times and you have a solid object in your view. Am I understanding this correctly. And when a particle is observed, it hardens its position in space? uncertainty goes out the window?
What the hell is that?! ; This is unbelievably great .. if there is a Nobel prize for TH-cam scientific representations your video certainly deserve it ! I can't wait to watch more of your videos; and off course I am a subscriber!
As someone who just studies Physics for the personal interest of it, and has a hard time trying to understand some things dealing with Quantum Mechanics, I found this to be very fairly easy to understand. More so than any other visual aid I've seen so far. So thanks for the work you put into making this. I definitely subscribed.
The only thing missing from this beautiful video is a discussion of how the narrow wavefunctions at the end approach (in fact are) classical mechanics.
Forces on a particle (in the classical model) are represented with a variation of the index of rifraction that affect the way the wave moves, the oribit is the same as the classical one
It did at least a good job showing how uncertainty decreases exponentially going from very small scales to macroscopic scales, at this point where classical physics becomes a very good approximation.
A very intuitive video! I'm an English teacher, and, somehow, I found myself completely enthralled by the video. Particularly, the inverse relationship between position and velocity because it makes intuitive sense! If we've measured a particle and know exactly where it is, we can't judge the how fast it is moving--much like a photograph. However, if we try to measure the particle but miss it, even though we were confident it would be within the measurement range, that tells us that it's probably moving faster or slower than our prediction, which makes its velocity more certain. I also loved the sciences for its concepts, which were easy enough to understand, but I was always turned off the mathematics because of its sterility.
Apres des centaines de pages , des hamiltoniens , des valeurs propres et vecteurs propres ....cette vidéo arrive et rend tout plus clair. Bravo ! Et merci aussi.
This is the best physics video about QM ever. Please don't stop! What is so incredibly good about it is that everything you show is EXACT. Ever seen videos about -say- the 2 slit experiment? Seems normal people really don't care about precision, which can only be explained by them NOT understanding the issue. But it hurts my brain when simulations aren't mathematically correct. Seeing precise simulations is a JOY and I learn so much from the details that can't be captured in the words. Thank you! Please make more videos showing 100% accurate simulations!
Also, most students suck extremely. You realize that the "memorization" you talk about can normally be translated to a student actually understanding the principles. Most the time someone feels like school is just "memorization" is because they don't try to think critically, explore more topics, or actually learn, they're just worried about passing the class, and so instead of actually retaining anything, they cram before an exam, then wonder why a few weeks later they don't remember anything, because surprise, they stopped worrying about the topic and just let it slip. As the person whom was both of these students, I can attest. Yes, the class/instructor should try as hard as they can to involve you and make you critically think. But in general the subjects being taught are fascinating, and if you don't give a crap about them, it doesn't matter how well the teacher teaches, if you don't care about what you're learning, you're just going to memorize to pass the tests, then drop everything you learned (or worse, not memorize, not care, and just fail, or somewhere in-between). I've had a few classes like that (generally history/anthropology classes not related to my degree), and surprisingly the others (that actually affected my career), I paid attention to, and actively sought new information on my own (gasp.... without the instructor telling me to learn on my own :o) And guess what? A lot the the info I learned on my own, or went beyond and critically thought about beyond what the instructor had done, actually helped me more, and conversely the info the course taught me aided me in future topics because I didn't just "memorize" them. I had to memorize less and less, because I could actually apply concepts to anything I learned, or it went beyond simple "memorization" to pass, and more to "memorization" because you do it all the time and love it, or just use it all the time. Also, for the history/anthropology classes I mentioned above no offense, I find them fascinating, I found all of my classes fascinating, I just didn't care for exploring the topics. And again, I could have easily actually "cared" more and critically thought about the anthropology topics in a way that was not merely "memorization", but I didn't really want to as I was far too busy with others, so I just flat-out memorized before the tests/exams, and surprise, lost all the information a few weeks/months later. Meanwhile, the information I learned that I actually cared about stuck. And yes, I've had my fair share of professors, some who were very passionate, others... not so much, some classes which were very critical and hands on, and others that were heavily text-based. And for all of them there are ways to engage yourself and critically learn, with or without the instructor. The student should try to "make the class work for themselves" as best they can. And honestly, if you don't enjoy a topic, it's going to be difficult to appreciate and retain it anyway, because chances are you dislike it and won't actively use/learn more about it, thus it just "fades away" in your mind. And yes, liking something doesn't always mean you'll remember it, and vice versa. There's plenty of topics I "hate" but am "forced" to remember, but I still don't consider them memorization. Blaming the education system itself is lazy. While I will not fully defend it, and yes, some teachers/classes really are just horrid, I feel placing ALL the blame on the education system is a poor excuse.
Memorization and understanding can happen at the same time. I'm sure some people have valid criticisms against different forms of education, but most people are just bickering because they don't want to have to "memorize" that a negative times a negative is a positive. Sometimes it's appropriate to memorize; other times it's appropriate to understand; other times it's appropriate to apply.
@@socratese5 We have calculated the probability that you passed HS grammar and punctuation to be 40%. We base this on the unnecessary apostrophe in the word "it's". That word, as you spelled it, means "it is" making your sentence, "...collapsing it is waveform". We could continue to explain, but we must sing Daisy Bell soon.
This video is fantastic. How did you make these animations? I've always been curious how people make these animated diagrams and graphs, they're always so neat
why am i watching this for fun instead of doing actual home work why does this seem interesting why is this the first educational TH-cam video that i'm not watching for school
I'm an electrical engineer and physics enthusiast I've watched and read quite a bit about quantum physics This video is the best I've ever seen. Its in a league of its own, far above the others. It's even better than Brian Greene explanations - and his are very good. This video deserves some high level recognition and accolades. I'm not in a position to bestow such but would like to add my own "Well done!" to whatever praise you receive. I have 2 questions: 1) What tools and software packages did you use to do this?, 2) When you show the part with the white arrow "spinning faster" when the particle has higher velocity and more curls - you show it with the wave packet stationary in time and you move the white arrow along the time axis. What do you really mean by saying the arrow spins faster? Are you saying that if the white arrow was placed at one point of the wave packet, and kept there as the wave packet moved forward (let's say it stays at the middle of the wave packet as the wave packet travels) then as the wave moves forward along the position axis that the white arrow will spin faster as the wave moves forward in comparison to a wave with a slower velocity? ie is the whole wave packet rotating - like a corkscrew thru space, and faster particles are corkscrews that not only move forward faster, but also spin about the position axis at a faster rate (more revolutions per second)?
Thanks a lot! I appreciate it. Regarding your questions: 1) I use Autodesk Maya. It's a powerful 3d animation tool (not easy to learn). 2) Yes, this scene shows the wave packet stationary in time. The white arrows move along the position axis, not the time axis. That is, we describe the spatial properties of the wave function at this particular time, and not how it evolves. The white arrow spins faster, since the second wave function has more 'curls' per unit of space. What represents a velocity of v are v curls per 2pi units of space. You ask what will happen if we fix the white arrow in space, and let the wave function evolve with time: I'm not sure. Let me check the formulas again later, and I'll get back to you.
The wave function moving brought back memories of watching Tom and Jerry and how the water in their pipes flow and then to my disappointment realizing it didn't flow like that in real life xD , also the video was really easy to understand :D Thanks !
This is an amazingly well constructed video on quantum mechanics! As a rule of thumb when it comes to quantum mechanics videos: if the video mentions consciousness, it's probably bullshit.
@@shawarmageddonit It's not. There are just many people who don't want it to be true because of implications it can have. Delayed choice isolated information determination, as the factor causing the wave function to collaps. Not interaction from measurement.
Finally. After more than a decade of trying to understand wave collapse, to finally see it simulated in front of my eyes clicked a lot of other things in place. Awesome! I'm so grateful to be living in the 21st century after all this was discovered. I couldn't imagine growing up in a world ignorant of all the things we take for granted. Like the fact I'm typing this a thousand miles away from the server recording it.
this video literally made quantum mechanics easy to grasp :D ...... please make more videos on Visualizations like this ........ like general relativity .
I really liked how at the end of the video the mass was increased and velocity held constant to show that Newtonian physics is a simpleton's quantum physics without outright stating it
So many quantum physics videos brush off the mathematics behind these concepts as too complicated to include, which is true. This video does a great job of touching on the complex math involved. Excellent video!
I guess we only have such sensor (observational instrument) which changes the behavior of the observed phenomenon. As if you could check wether there is a fly in a tube only with a spider net. If the net shakes you know that there is a fly, but from now on the fly does not fly anymore.
It's simple. Imagine a tree falling in a forest with nobody around to observe it. It is both fallen and standing until the first observer walks by and thus does not make a sound.
I have completely forgotten about my subscription to You but I am very happy I did and I found this video very interesting. Makes me want to crack open a maths book just to get a refresher on Fourier Transforms since they seem odly familiar from my studies. Thank You for a great informative video!!
Incredible. I've been reading about these topics for several weeks and this video helped them all click intuitively in a way I never expected. Thank you!
This is the most amazing description of quantum’s mechanics I ever seen. In 2 mins. The details the reason s why I needed to learn about those simple points in the graph and the manipulation of numbers. No one ever explained it visually to me before. Crazy’s
Wow, this video is so fantastic. It very well goes over those concepts and ties it into (at the end) why we can be so certain about position and velocity of macroscopic objects. Thank you so much for this, its really good.
This is certainly one of the greatest videos explaining quantum mechanics ive seen. It even logically explains why massive objects behave like in classical mechanics without explicitly saying it. It explains why you would say that a higher mass particle would have a higher frequency momentum wave function. And it kinda shows how observation works, its not that suddenly the universe completely changes, but now that there is more definite information about the particle, it is no longer a possibility for the particle to be in that location, so the wave function collapses, and then just continues to evolve through time. It explains heisenberg uncertainty principle without even mentioning it. Certainly an amazing video and visualization, congratulations
Best presentation of this subject I have ever seen, and I have been chasing the subject since I learned about electron orbitals as clouds in about 1968!
That particular sound effect sounded like it came from My surroundings and not the video. I had to pause the video because I thought it was something within my surroundings making that noise. (Listening to it with headphones gave that effect). Still cannot detect it as part of the video no matter how much times I replay it.
Hot damn, this is the most easily digested explanation of some of the behaviors of quantum waveforms I have ever seen demonstrated. Great job! Also who and/or what speech synth does your narration? It sounds as natural and pleasing as heck, save that I don't know any humans with the patience to speak with that little deviation in pitch and pace for that long which suggests that it must somehow be on rails.. ;3
Awesome video. Thanks. p.s. Never watch this in complete dark room before bedtime in headphones. Whole video is silent, only person talking, but at 12:58 I thought someone was braking into my house
Exactly same happened to me, I was watching this at bedtime,with my headphones and this sound made me so scared like something massive thing is falling.
This is SO informative. Really makes Quantum Physics clear. One minor nitpick. I think you should have explained that the values of the wave function are complex numbers, with real and imaginary axes at right angles to each other, which is how it's possible for the wave to rotate around the direction line.
Because I have a learning disability that affects my ability to recall digits, the calculation part of mathematics was always a struggle. Because equations were typically introduced to me independent of the function performed, my comprehension was low. I love about this video the fact that it does not present me with the operation of calculations that underpin concept but lay out for me in the visual terms I'm comfortable with, a framework for comprehending in functional terms what these calculations allow us to determine. I feel much better informed now about what these commonly heard names in quantum physics contributed to our understanding. You've done a beautiful job here of explaining in simple terms what is quite complex to calculate for ourselves. Presuming your math is correct, I feel impressed by your accomplishment.
I've done engineering but I seriously didn't know wtf I was doing with Fourier's series and transformation and probability distribution finding the mean and standard Deviation of a function now I get it all.. all the pieces are getting together and the picture seems much more clearer now... Thank you so much!!!!
His nickname was the Savage Cabbage, on account of he was not all there (obviously he wasn't literally a vegetable, ie a person in a persistent vegetative state), but he did look slightly cabbage like and he was somewhat violent. Well, who can blame him? If people had called me a cabbage at school, I might have got violent, too.
I think the reason why this video explains things so well's because of the visualization factor. In college, every time I didn't understand something (especially when it came to math) I'd ask the teacher to give me an example by drawing a graphic. It really helped a lot and made me think that not doing so is a big part of why mathematics, physics and other matters alike seem more difficult than what they really are
Not just that. There are all kinds of visualisations available in the last 10 years but none so far was so good as to grasp the essentials. The complex-valued wave function, its spread, and the Fourier transform.
Frank Drk0 Donnie Darko hell yeah👌🏻
When professor starts with "imagine" you know you are faked up. Every person has different imagination, visual explanation i think solves this problem
@@meli24 здесь, даже когда нам говорят «представьте», ничего представлять не нужно, всё уже нарисовано
In University Physics you’re expected to draw your own diagrams.
Free Body diagrams and Ray Tracing, Circuits, E field, B field, Lorentz Force. I had to do an equation for homework that was how fast would a roller coaster loop have to go if it had an Elephant on it. I had fun with that one😂
That click is the most satisfying sound I've ever heard.
Yes
Quantum ASMR
Guy getting hit in minecraft. That's all I hear
Love it
I was thinking the same thing.
I honestly don't think I've ever seen a more complete, accurate, and easily to understand visualization of such a complex subject (or at least, what others have made it out to be) in my life. Amazing. If only all subjects (computer science here) could be so perfectly visualized. I've never before realized how truly important it is to have an explanation of complex material/subjects be explained and visualized in an understanding way and how much you can learn based off this sort of material. I wish my professors could explain these subjects like this as a background, and THEN delve into the complexities. We'd all be better off for it, and I think learn much more in the end.
Synkronization Totally agree, very attractive to do a streamlined rundown of a thing-reminds me of the tone of the How It’s Made series. It’s way more coherent to pair visual and technical, so long as the animation is accurately translating the mathematical description of the phenomenon.
Synkronization I sent my friend this video to explain this whole concept, since it is at the core of very many micro mechanical concepts of reality of which I touch into
It's important to remember that we don't all learn the same way. I'm a good visual learner, but theory is a bitch for me. It's the opposite for others
Amen
It's actually not that complex. I suspect the word you want is "subtle". QM is very subtle in manifold ways.
PS: As a third-rate physicist I'm here to say that I'm a third-rate physicist.
A physics student is pulled over by a cop who asks him "Do you know how fast you were going?!" The student replies "No, but I know EXACTLY where I am!"
....and then the cop says "You were going 87 miles per hour!" To which the student replies with irritation, "Thanks, now I'm lost!!"
... now the cop is getting suspicious. He opens the trunk and asks the student “Since when did you have a dead cat in the trunk?!” The student replies “Since you opened my trunk.”
@@aslpuppy1026 The cop says he'll flip a coin to decide whether the student gets to leave or get a ticket first. heads is ticket, tails is leave. the coin lands tails, and the student pumps his fist. the cop asks, "why'd you pump your fist?" The student states "I knew I wouldn't get a ticket!"
@@PhoenixTwoFiftySix Local Realism is false
@@aslpuppy1026 Brilliant 🤣
The final part of the video visualized well how uncertainty decreases exponentially as you approach macroscopic scales. It's at this point where classical physics becomes a very good approximation.
Damn that's actually a super important key part that I nearly missed, thank you for pointing it out!
There's nothing wrong with classical physics. It just doesn't work on a quantum level. But it works well enough that they can predict planetary orbits using laws of gravity and planetary motion developed by the likes of Newton and Kepler hundreds of years ago. Well enough that we sent men to the moon using Newton's laws of gravitation. And likewise, quantum mechanics is great for explaining how a single particle might behave. But not so great for large scale. And the analogies go on.
This REALLY help clarify what was being done at the end.
Really helped reading it before hand.
Schrodinger's cat knew this quite well.
As a physicist I have to thank you for making this video. Simulations like these are more tangible and easier to digest for younger minds. Your effort is greatly appreciated.
physics
For older minds too ;-)
I am age 76. Simulations like this also help older minds. Never stop learning!
by all means explain how Heisenberg equations fit in to this model , as this would suggest a breaking of the wave function and not in the way explained
True! this simulations are effective.
This is exactly what TH-cam needed. tired of all the metaphor in explaining quantum physics, this comes straight from the horse's mouth, with the horse being mathematics.
who's horse?
I've never seen anyone using a metaphor?! lol What could you possibly use as one?!?!
straight from the horse's mouth.
Mathematics is a metaphor, but horses are real, so you're on firm ground there. Fer shure.
juan
Thanks everyone! :)
udiprod thank you so much
udiprod you haven't posted in like a year, why?
Several reasons. These videos take a lot of work, especially this one. Also, it usually takes me time to decide on the next project, and I do a lot of different other stuff in between. I hope the next video won't take so long (as I said many times before).
What an insightful treatment of the math that underlies the physics. Unprecedented. Glorious.
udiprod g
Been reading books about quantum mechanics for years, and I've never completely understood nor could I tie everything together, this video explained things SO well, I almost cried. Awesome video.
You understood this video just because you read those books
Kudos Nothing goes waste
@@Abish_ excellent insight. Exactly what TH-cam is for....
@Bruce Zar and you're an a$$hole
@Bruce Zar The only ignorant one here is yourself my friend.
You’re now ready to build a linear accelerator in your backyard.
First time I've ever actually managed to understand an explanation of quantum physics. With how everything was worded, I was actually able to intuit things ahead of time, and that pleases me more than I can describe. Thank you for this wonderful video.
Showing how the wave function evolves after the position measurement was incredibly impressive - fantastic job!
Remarkable. So the more massive an object (compared to an electron), the less of an effect uncertainty has. So when you get to the macroscopic level, it's a concept completely foreign to an observer. This is why Newtonian physics is such a natural conclusion, because quantum effects are so negligible at our level.
Yes!
SilentMajority420 YEAH!! I love epiphanies like that!
Well things are not so easy unfortunately, otherwise the Schrödinger's cat paradoxon had no sense to be. For example there are Bose Einstein condensate which contain thousands of atoms, still they show nice QM behaviour.
I'm saving this comment to come back at it every time I feel confuse, it's mind blowing ! thanks!
Aufenthalt - I thought that was just a thought experiment. There never was an actual cat.
So glad there aren't stupid metaphors like in every other quantum mechanics video
Dont swear or quantum jesus Will get u
I couldn't agree more, I hate it when people use stupid metaphors assuming you don't understand the real thing..
I hate those too, they think they're simplifying but really they just make the content more complicated by creating a false perception of what is going on.
I especially hate it when the lesson is 10% actual science and the rest is just analogies for entertainment purposes.
It's so hard to find decent visualizations like this one.
I am the beginning and I am the end, and I have written them both, 0, and 10,000,000,002,020 for you to be in. How can you be conscious if you are not conscious-0-of beginning consciousness? How can you be conscious of where you stand if the time the ground has recorded as being there is not now playing in your conscious moment? You cannot be defined by what you don't. Is Eternity there? Put it there 10,000,000,002,020 and find out.
Is this sarcasm because all of this is a visual metaphor....
yeb Einstein was right, time is relative: 15 minutes on youtube = 15 hours in school
Zoxeful thank you
cool.....
Open the door
More like 15 years in school
15 days*
"Anyone who claims to understand quantum theory is either lying or crazy," - Richard Feynman
Richard clearly didn't read the TH-cam comment section.
🤣😂🤣
That was funny, although I think if Feynman ever read the comment section on some videos he might have lost faith in humanity.
Most of the things being taught are theory. Might as well be a conspiracy theorist to normal folks who don't think outside of the box.
With Richards comment “understand” applied properly to the world would be a perfect word for infinite. Sad that humbleness turns one into a plea to oneself to be cleansed of moral ownership to ones to idea.
As we all like to propose theories in some form and for one to propose a theory, it could then be said they do actually have an understanding of some form of some part to form the theory.
And that belief in itself can be grown into reality to be considered understood.
However as humans why would we take that on? Why make are lives more difficult. Their is no reason other then to have the motivation to bring that idea to the front of what it is everyone will believe in.
Repeat a message enough times, right?
“We all have an understanding in our own minds and that simply is enough to say that is why we are here today.”
Tim the Enchanter, Feynman is such a reassuring guy!
Chinese is much more clear for me! 😂
I thank you both.
Well, that sentence refers to its interpretations. I studied a degree in physics, master in theoretical physics and I'm about to start a PhD in particle physics so: yes, I understand quantum THEORY but I don't understand at all how the f*** the world apply those weird properties of the theory...
I understand why this video took so long to make. Thanks, this taught me a lot.
Whilst I'm not a fan of skipping over equations, derivations and insights from pure maths, quantum mechanics is a vast, complex, in depth subject, and is usually bogged down in mathematics, so it is often highly misunderstood by alot of people (to the dismay of the average person who wants to learn about the laws if physics, not the law of attraction).
This video makes the key concepts of quantum mechanics (uncertainty, fourier transforms, wavefunctions, position and momentum bases, measurement, collapse, and the classical limit) very easy to understand conceptually, and it is also very accurate and concise. It doesn't bring up interpretations, spend 10 minutes despairing about the measurement problem, EPR or philosophy, and also doesn't throw 300 equations at you wihout explanation (school systems take note).
Overall a really good video for anyone who wants to get unto quantum mechanics.
@pyropulse Yeah i agree it is very susccinct and without fluff. What i meant is that, to the average person, searching online you find either highly technical and mathematically rigourous videos and lectures, or, as you said, videos that are borderline lying to the viewer, shrouding the subject in fluff and mystery. This video demonstrates the key mathematical concepts with essentially no actual maths and is succinct and accurate.
Yet the video couldn't let go of macro-morphist analogy like "particle" and "measurement" even though they avoided mentioning the disastrously misleading "observer" metaphysics
I am a Physics student. This video was incredibly helpful. I will watch it several times again to embed all the visualization in my mind for further use. Thank you so much. This video exactly fulfilled what I lake for several years.Truly appreciate it.
u lake* too much xd
When I was at uni, I found some similar interactive simulations at www.falstad.com/mathphysics.html#qm
I definitely recommend these to any physics student, since they not only apply these concepts to more complex systems, the ability to tweak the parameters gives a lot of intuition quickly.
Okuno Zankoku tnx
Yecin .__ Sorry I meant " lack"
It may help to know that the spiraling is happening in the complex plane. She never said it, but the direction "into the page" is the imaginary numbers. So this is a free particle plotted on the position plane (a complex plane) over time. The "straight on" view angle is such that you only see the projection of the "real" number portions of the wave function. When you can see the spiraling, that's happening in the complex numbers.
So, in the end, you brought quantum mechanics back to our ordinary classic world. I'm... AMAZED
This is some high quality, premium CG Animation. Bloody amazing work!
No and yes? On the surface not really complicated animations but beneath the surface quite complex and bloody amazing work. Looking at the same thing from many points of view. Thank you!
The las bit where the mass is increased and therefore the uncertainty shrinks. Is that the reason why we don't see QM effects in our macro scale world?
Yes, that's right.
Personally, I think it's more complex than that. I think that the reason is that the only quantum states that are stable over a long period of time and larger distances (aka that what we can observe as the apparent reality) are those that correspond to "classical" states; therefore only classical states make up our reality; but doing a measurement of a microscopic quantum state still escalates the microscopic and short term (the time at which the measurement was done) to the macroscopic, resulting in a projection of the classical states (ie, being detected, or not being detected) that the measured microscopic system is a superposition of into a macroscopic wave function that is best understood as existing of different realities. This is the many world interpretation of QM.
If your detection machine (your eye) spans across a much bigger section of this visualized line then you're far more likely if not certainly going to detect it, multiply that a few billion times and you have a solid object in your view. Am I understanding this correctly. And when a particle is observed, it hardens its position in space? uncertainty goes out the window?
Yes. The de broglie wavelength is given by Planck's constant divided by momentum which is (6.626*10^-34/mv)
Oh I'm sorry but we don't see it in our world because it's just too small
"I'll get to bed at 10 tonight"
*3am and I'm watching this*
same
i said before midnight, and its 5:31am now.
2:55am here, i'll go to bed.. after the next video.
Stephen b ls
Stephen b pt
3:24 here
What the hell is that?! ; This is unbelievably great .. if there is a Nobel prize for TH-cam scientific representations your video certainly deserve it !
I can't wait to watch more of your videos; and off course I am a subscriber!
Fahad ALHashimi awesome to see an Arab like myself interested in these kinda stuff ;)
So we are two now :)
Fahad ALHashimi make it 3!
Yeah too bad our folks are busy killing each other and fighting over politics
Karim M. Elsayad bhi
As someone who just studies Physics for the personal interest of it, and has a hard time trying to understand some things dealing with Quantum Mechanics, I found this to be very fairly easy to understand. More so than any other visual aid I've seen so far. So thanks for the work you put into making this. I definitely subscribed.
It has been years since this was covered while at my UCLA physics, but never have I seen everything so clearly explained. Wonderful video.
Is it me or this is the best representation of the transition from quantum mechanics to Newtonian mechanics! big revelation for me!
Nice, I'm ready to be a quantum physicist now. I'll take 1 PhD. please.
You'd have to learn to solve the actual Schrödinger equation yourself, and for systems slightly complexier than 1D single particle!
@@bormisha
I believe Dr. 9uvwxyz knows what he's doing, he doesn't need the comments of mere peasants such as yourself.
This is easier to understand on acid
All you need is 1 lsd
And I take another, thank you very much.
The only thing missing from this beautiful video is a discussion of how the narrow wavefunctions at the end approach (in fact are) classical mechanics.
Forces on a particle (in the classical model) are represented with a variation of the index of rifraction that affect the way the wave moves, the oribit is the same as the classical one
ikr i wish someone could piece it all together in a video and show there's only one physics it would make everything so much easier to understand
It did at least a good job showing how uncertainty decreases exponentially going from very small scales to macroscopic scales, at this point where classical physics becomes a very good approximation.
Kudos to my teacher at college for teaching nothing that I had to learn from TH-cam after 7 years. Nice job
So far the clearest, best introduction I have found, and just how visual are we if this makes it so much easier to grasp. Great teaching, thanks.
AMAZING VIDEO!!! Congratulations!
Holy shit, this channel is still alive.
exactly my thoughts haha
Praise the Lord!
This channel was probably always active, but now that we've observed it, we can say with certainty that this channel exists here.
Exactly! and while nobody was watching this channel was dead as well as alive!
MrLewooz like Schrödinger's cat ,but as a TH-cam channel.
A very intuitive video! I'm an English teacher, and, somehow, I found myself completely enthralled by the video. Particularly, the inverse relationship between position and velocity because it makes intuitive sense! If we've measured a particle and know exactly where it is, we can't judge the how fast it is moving--much like a photograph. However, if we try to measure the particle but miss it, even though we were confident it would be within the measurement range, that tells us that it's probably moving faster or slower than our prediction, which makes its velocity more certain.
I also loved the sciences for its concepts, which were easy enough to understand, but I was always turned off the mathematics because of its sterility.
Apres des centaines de pages , des hamiltoniens , des valeurs propres et vecteurs propres ....cette vidéo arrive et rend tout plus clair.
Bravo !
Et merci aussi.
This is the best physics video about QM ever. Please don't stop! What is so incredibly good about it is that everything you show is EXACT. Ever seen videos about -say- the 2 slit experiment? Seems normal people really don't care about precision, which can only be explained by them NOT understanding the issue. But it hurts my brain when simulations aren't mathematically correct. Seeing precise simulations is a JOY and I learn so much from the details that can't be captured in the words. Thank you! Please make more videos showing 100% accurate simulations!
This makes it so much easier to understand. Visualizing math that way makes total sense, and I've always been very bad at math. Great video!
did I just get my entire college physics education in a single youtube video?
no sorry
Nope you must watch 1 more. lol
Also, most students suck extremely.
You realize that the "memorization" you talk about can normally be translated to a student actually understanding the principles.
Most the time someone feels like school is just "memorization" is because they don't try to think critically, explore more topics, or actually learn, they're just worried about passing the class, and so instead of actually retaining anything, they cram before an exam, then wonder why a few weeks later they don't remember anything, because surprise, they stopped worrying about the topic and just let it slip.
As the person whom was both of these students, I can attest. Yes, the class/instructor should try as hard as they can to involve you and make you critically think. But in general the subjects being taught are fascinating, and if you don't give a crap about them, it doesn't matter how well the teacher teaches, if you don't care about what you're learning, you're just going to memorize to pass the tests, then drop everything you learned (or worse, not memorize, not care, and just fail, or somewhere in-between).
I've had a few classes like that (generally history/anthropology classes not related to my degree), and surprisingly the others (that actually affected my career), I paid attention to, and actively sought new information on my own (gasp.... without the instructor telling me to learn on my own :o) And guess what? A lot the the info I learned on my own, or went beyond and critically thought about beyond what the instructor had done, actually helped me more, and conversely the info the course taught me aided me in future topics because I didn't just "memorize" them. I had to memorize less and less, because I could actually apply concepts to anything I learned, or it went beyond simple "memorization" to pass, and more to "memorization" because you do it all the time and love it, or just use it all the time.
Also, for the history/anthropology classes I mentioned above no offense, I find them fascinating, I found all of my classes fascinating, I just didn't care for exploring the topics. And again, I could have easily actually "cared" more and critically thought about the anthropology topics in a way that was not merely "memorization", but I didn't really want to as I was far too busy with others, so I just flat-out memorized before the tests/exams, and surprise, lost all the information a few weeks/months later. Meanwhile, the information I learned that I actually cared about stuck.
And yes, I've had my fair share of professors, some who were very passionate, others... not so much, some classes which were very critical and hands on, and others that were heavily text-based. And for all of them there are ways to engage yourself and critically learn, with or without the instructor. The student should try to "make the class work for themselves" as best they can. And honestly, if you don't enjoy a topic, it's going to be difficult to appreciate and retain it anyway, because chances are you dislike it and won't actively use/learn more about it, thus it just "fades away" in your mind. And yes, liking something doesn't always mean you'll remember it, and vice versa. There's plenty of topics I "hate" but am "forced" to remember, but I still don't consider them memorization.
Blaming the education system itself is lazy. While I will not fully defend it, and yes, some teachers/classes really are just horrid, I feel placing ALL the blame on the education system is a poor excuse.
Why does everyone think I was being serious? I was just making a joke because I liked the presentation of the concept.
Memorization and understanding can happen at the same time. I'm sure some people have valid criticisms against different forms of education, but most people are just bickering because they don't want to have to "memorize" that a negative times a negative is a positive. Sometimes it's appropriate to memorize; other times it's appropriate to understand; other times it's appropriate to apply.
Superb narration, excellent graphics and very well scripted to explain the concept.
Those visualizations of the wave function post-measurement blew my mind. Thank you for making this!
As a physicist I'm here to say that I'm a physicist.
Creator's Remorse .. me too
We have observed your comment collapsing it’s waveform.
@@socratese5 We have calculated the probability that you passed HS grammar and punctuation to be 40%. We base this on the unnecessary apostrophe in the word "it's". That word, as you spelled it, means "it is" making your sentence, "...collapsing it is waveform".
We could continue to explain, but we must sing Daisy Bell soon.
@@The22on you cant calculate that just because he got one ' wrong
Must be a Theoretical Physicist who failed exams :D
Oh 😍 One of the most beautiful quantum mechanics video I've ever seen 😍
Fantastic presentation. With all the good videos out there, you've managed to best them all.
This video is fantastic. How did you make these animations? I've always been curious how people make these animated diagrams and graphs, they're always so neat
Thanks! :) I'm using Autodesk Maya.
why am i watching this for fun instead of doing actual home work
why does this seem interesting
why is this the first educational TH-cam video that i'm not watching for school
What an elegant explanation, this is what the internet is for
So clear, readable and informative even for a guy not studying physics.
One of the best and most educational videos I've seen! Please do General Relativity next!
THANK YOU! I have never seen wave function collapse explained so perfectly!
This video does a fine job of describing the basics of Quantum Mechanics. It gives a good basis to understand the terms involved in Quantum Mechanics.
I'm an electrical engineer and physics enthusiast I've watched and read quite a bit about quantum physics This video is the best I've ever seen. Its in a league of its own, far above the others. It's even better than Brian Greene explanations - and his are very good. This video deserves some high level recognition and accolades. I'm not in a position to bestow such but would like to add my own "Well done!" to whatever praise you receive. I have 2 questions: 1) What tools and software packages did you use to do this?, 2) When you show the part with the white arrow "spinning faster" when the particle has higher velocity and more curls - you show it with the wave packet stationary in time and you move the white arrow along the time axis. What do you really mean by saying the arrow spins faster? Are you saying that if the white arrow was placed at one point of the wave packet, and kept there as the wave packet moved forward (let's say it stays at the middle of the wave packet as the wave packet travels) then as the wave moves forward along the position axis that the white arrow will spin faster as the wave moves forward in comparison to a wave with a slower velocity? ie is the whole wave packet rotating - like a corkscrew thru space, and faster particles are corkscrews that not only move forward faster, but also spin about the position axis at a faster rate (more revolutions per second)?
Thanks a lot! I appreciate it.
Regarding your questions:
1) I use Autodesk Maya. It's a powerful 3d animation tool (not easy to learn).
2) Yes, this scene shows the wave packet stationary in time. The white arrows move along the position axis, not the time axis. That is, we describe the spatial properties of the wave function at this particular time, and not how it evolves.
The white arrow spins faster, since the second wave function has more 'curls' per unit of space. What represents a velocity of v are v curls per 2pi units of space.
You ask what will happen if we fix the white arrow in space, and let the wave function evolve with time: I'm not sure. Let me check the formulas again later, and I'll get back to you.
From what I checked the faster particle also rotates faster with time.
Blender, it's free, supported, and just as good as those higher end, super expensive modelers.
Dimitri Loginowski Just because something is expensive doesn’t naturally imply that it’s superior over free alternatives.
The wave function is some plane-wave so exp(-ipx) where x is the position and p is momentum. Increasing p increase the phase of the complex function.
The wave function moving brought back memories of watching Tom and Jerry and how the water in their pipes flow and then to my disappointment realizing it didn't flow like that in real life xD , also the video was really easy to understand :D Thanks !
it still doesn't flow like that in real life
I can't believe i just willingly watched this, and wasn't bored half to death...
Same,,,,,,
One of the best videos on this subject, i refer to it over and over again
This is by far the best video on QM I have seen so far in my whole life. Amazing work!
*Amazing!*
_This is by far the most technically sound and vivid comparative explanation between classical and quantum mechanics!_ 👍
This is an amazingly well constructed video on quantum mechanics!
As a rule of thumb when it comes to quantum mechanics videos: if the video mentions consciousness, it's probably bullshit.
Me Yes thanks
Deepak Chopra just left the chat ̣(and the building)
How so?
@@shawarmageddonit
It's not.
There are just many people who don't want it to be true because of implications it can have.
Delayed choice isolated information determination, as the factor causing the wave function to collaps. Not interaction from measurement.
Lmaooooo
As a non physicist, l am here to say lm not physicist.
Wow, this video contain an astonishing amount of information. There is not a single useless word in the whole clip. Impressive.
Excellent presentation with great visuals and no distracting/annoying background music.
Finally. After more than a decade of trying to understand wave collapse, to finally see it simulated in front of my eyes clicked a lot of other things in place. Awesome! I'm so grateful to be living in the 21st century after all this was discovered. I couldn't imagine growing up in a world ignorant of all the things we take for granted. Like the fact I'm typing this a thousand miles away from the server recording it.
Spin of Indivisible Particle : Watch...
th-cam.com/video/nnkvoIHztPw/w-d-xo.html
this video literally made quantum mechanics easy to grasp :D ...... please make more videos on Visualizations like this ........ like general relativity .
EFTEKHAR AHMED "easy to grasp"
I really liked how at the end of the video the mass was increased and velocity held constant to show that Newtonian physics is a simpleton's quantum physics without outright stating it
This is the best explanation of the quantum to classical differences I have ever seen! Congrats!
This is great. Very useful imagery. Clear enough to be understood but leaving enough room for further exploration.
Thank you
Outstanding!
i love the sounds in this video
As a physicist, I can definitely say that I just became a physicist.
because physicists seem more mathematical than physicists
So many quantum physics videos brush off the mathematics behind these concepts as too complicated to include, which is true. This video does a great job of touching on the complex math involved. Excellent video!
A fantastic work!! This video has made me understand more about quantum physics than 4 HEAVY courses in my B.A. physics degree.
PSA: Watching this under the influence... yields strange thoughts, conversations, dreams, and cooking ideas.
The observer effect is the hardest thing to wrap my mind around
I guess we only have such sensor (observational instrument) which changes the behavior of the observed phenomenon. As if you could check wether there is a fly in a tube only with a spider net. If the net shakes you know that there is a fly, but from now on the fly does not fly anymore.
What would happen if there was nobody to observe me? I better buy a cat just in case.
@@stillpaints one of the better comments I've seen...
God either participates in the action or observes the action....
It's simple. Imagine a tree falling in a forest with nobody around to observe it. It is both fallen and standing until the first observer walks by and thus does not make a sound.
I’ve heard about the collapse of the probability function, but I never really spent it much thought, this really made it click
its just like if u were to say "the probability of this horse winning the race is 75%." then when he loses, "oh shit he lost now its like 50%
I have read so many books ,tried imagining it, but this tops it all by a huge factore..Absolutely wowed !!
It's hard to find a video like this nowadays, visualization is essential to understand quantum physics
I have completely forgotten about my subscription to You but I am very happy I did and I found this video very interesting. Makes me want to crack open a maths book just to get a refresher on Fourier Transforms since they seem odly familiar from my studies. Thank You for a great informative video!!
Amazing visualizations and explanations! Thank you so much for showing this!
Top! One of the best videos made on this topic.
Incredible. I've been reading about these topics for several weeks and this video helped them all click intuitively in a way I never expected. Thank you!
This is the most amazing description of quantum’s mechanics I ever seen.
In 2 mins. The details the reason s why I needed to learn about those simple points in the graph and the manipulation of numbers. No one ever explained it visually to me before. Crazy’s
Wow, this video is so fantastic. It very well goes over those concepts and ties it into (at the end) why we can be so certain about position and velocity of macroscopic objects. Thank you so much for this, its really good.
Can you make more videos? I don't want to wait for another year :(
Thanks. Yes, I plan to make more. The next one is likely to be much shorter so hopefully it won't take so long again.
+udiprod Didn't you say that last time? :D
This is certainly one of the greatest videos explaining quantum mechanics ive seen.
It even logically explains why massive objects behave like in classical mechanics without explicitly saying it.
It explains why you would say that a higher mass particle would have a higher frequency momentum wave function.
And it kinda shows how observation works, its not that suddenly the universe completely changes, but now that there is more definite information about the particle, it is no longer a possibility for the particle to be in that location, so the wave function collapses, and then just continues to evolve through time.
It explains heisenberg uncertainty principle without even mentioning it.
Certainly an amazing video and visualization, congratulations
Huntracony, Yes :) Oh well, I can still hope.
As I see, udiprod didn't lie. He made next video in six month. And time difference between the videos before was a year.
After watching this ..
Me: I'm becoming a scientist!
Brain: Oh, hell no!
Lmao you are your brain
@@KangJangkrik underrated comment
Best presentation of this subject I have ever seen, and I have been chasing the subject since I learned about electron orbitals as clouds in about 1968!
This is a fantastically good visualization that lets me more fully understand quantum behavior for the first time.
I like the sound effect when the mass is increased.
not me! i thought someone was breaking into my room! i had to look over my shoulder haha
That particular sound effect sounded like it came from My surroundings and not the video. I had to pause the video because I thought it was something within my surroundings making that noise. (Listening to it with headphones gave that effect). Still cannot detect it as part of the video no matter how much times I replay it.
Hot damn, this is the most easily digested explanation of some of the behaviors of quantum waveforms I have ever seen demonstrated. Great job!
Also who and/or what speech synth does your narration? It sounds as natural and pleasing as heck, save that I don't know any humans with the patience to speak with that little deviation in pitch and pace for that long which suggests that it must somehow be on rails.. ;3
Even by paying attention in the class... I just never visualized even the 10% of what just you did 💯 👌
You've got to check out the TH-cam channel 3blue1brown for similarly astonishingly illuminating mathematics lectures.
the most excellent TH-cam video to understand wavefunction in QM
Outstanding! This is the best instructional video in physics that I have ever seen. Thank you!
don't thank us for watching, thank you for posting
its almost as if an A.I was instructed to make a video that explains quantum mechanics to people in the most effective way...
awesome vid tho! :D
Awesome video. Thanks.
p.s. Never watch this in complete dark room before bedtime in headphones. Whole video is silent, only person talking, but at 12:58 I thought someone was braking into my house
Exactly same happened to me, I was watching this at bedtime,with my headphones and this sound made me so scared like something massive thing is falling.
Do you live in the parallel universe where you sleep in a dungeon?
This is the best visualization of quantum physics I have ever seen.
Finally a way for me to even start grasping Quantum Physics, Thanks udiprod.
This is SO informative. Really makes Quantum Physics clear.
One minor nitpick. I think you should have explained that the values of the wave function are complex numbers, with real and imaginary axes at right angles to each other, which is how it's possible for the wave to rotate around the direction line.
Thanks for this reaction! It opened my eyes (and my mind, i guess).
Jesus! What a nit picket.....
Dr Deuteron Would you care to elaborate? Is the simulation missing anything essential to its understanding?
I'm a theoretical physicist and I realy appreciate this video. Best video I ever seen on this topic. Well done
Gabriele Dian sure lol.
What group do you like the most? SU(2) or SO(3) and why?
Hey can you predict the future?
Because I have a learning disability that affects my ability to recall digits, the calculation part of mathematics was always a struggle. Because equations were typically introduced to me independent of the function performed, my comprehension was low.
I love about this video the fact that it does not present me with the operation of calculations that underpin concept but lay out for me in the visual terms I'm comfortable with, a framework for comprehending in functional terms what these calculations allow us to determine.
I feel much better informed now about what these commonly heard names in quantum physics contributed to our understanding. You've done a beautiful job here of explaining in simple terms what is quite complex to calculate for ourselves. Presuming your math is correct, I feel impressed by your accomplishment.
I've done engineering but I seriously didn't know wtf I was doing with Fourier's series and transformation and probability distribution finding the mean and standard Deviation of a function now I get it all.. all the pieces are getting together and the picture seems much more clearer now... Thank you so much!!!!
It's the most amazing visualisation of quantum phisics I've ever seen.Realy appreciate
wow this channels still alive. Nice
There was a kid at my school that had that nickname. Political correctness hadn't been heard of back then.
pineapplepenumbra what?
His nickname was the Savage Cabbage, on account of he was not all there (obviously he wasn't literally a vegetable, ie a person in a persistent vegetative state), but he did look slightly cabbage like and he was somewhat violent.
Well, who can blame him? If people had called me a cabbage at school, I might have got violent, too.
um ok.
Savage Cabbage b