Quantum Wave Function Visualization
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- Опубліковано 12 лют 2016
- Superposition, wave function collapse, and uncertainty principle in Quantum Physics. Shows real & imaginary components of quantum wave functions for free particles and confined particles. My Patreon page is at / eugenek
- Наука та технологія
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Is it possible you could create a UA-cam playlist on quantum, ordering the videos, to help learners to best utilize the content? Would be much appreciated! Great channel
Wave function is also a function of particles rotation which doesn't seem to be taken care by shortinger equation, by the way iam just a poor peasant..
I explain quantum spin in my video at ua-cam.com/video/3k5IWlVdMbo/v-deo.html
On the UA-cam app, the subtitles intrusively enable by themselves. Please remove the subtitles until UA-cam sorts that out. Please urge UA-cam to update the UA-cam app to obey my settings for not having captions on automatically. It's been a year already and they still haven't fixed it. My patience has run out.
Very informative. Thanks for sharing, Lord-Jesus-Christ com
Love your videos. Not many youtubers try to explain quantum mechanics in detail, while still making it comprehensible to a non-physicist.
+Momchil Momchilov, thanks.
the wave function is described as a rotating helix?
As far as i understand it the "helix" arises when you not just graph out 1 dimension over time or angle but have a complex plane.
So for example: y=sin(x) becomes Re=cos(x) + Im=i*sin(x). If that looks familiar, than e^(i*x) might also crossed your eyes.
If you exactly one wave with a single frequency component and amlitude, then your signal is a pure helix in this representation of a complex graph.
Never forget: a graph is a tool to visualize, not to accuratly depict reality. There is no sinusoidal drawn line in your power outlet either.
Where does the probability wave come from? who made it? Does it come from our consciousness?
+DasIllu is the probability wave in more than one universe?
Absolutely beautiful animation. Thank you so very much for this. You're doing a huge service to humanity. I'd nominate you for a Nobel prize if I could.
+luigisf, thanks for that really great compliment.
If you like this video, you can help more people find it in their UA-cam search engine by clicking the like button, and writing a comment. Thanks.
+2sheol, I already have a video that discusses the heat death of the Universe. It is the one called "Thermodynamics and the End of the Universe." It is available on my UA-cam home page. Thanks.
+Marek M, I already have several videos on electromagnetic waves. They are discussed in the following videos:
"Electromagnetism - Maxwell's Laws",
"Waves: Light, Sound, and the nature of Reality",
"Polarization of Light"
As for electrical impedance, I plan to create a video on AC impedance in the future, but for now, I already have videos that discuss resistors, inductors, and capacitors. These include the videos:
"Resistors - Ohm's Law is not a real law"
"Inductors and Inductance".
I don't yet have a video devoted to capacitors, but capacitors are described in several of my videos, such as:
"Voltage multiplier: Generating over 100,000 volts DC"
and "Op Amp Circuits"
Thanks.
+Physics Videos by Eugene Khutoryansky Great videos! can you make some on logarithms. Thanks.
Your videos are fascinating :)
I'd be very recognized in advance if you make one about QED (quantum electrodynamics).
Physics Videos by Eugene Khutoryansky
I absolutely love that you give us time to think about and reflect on what you're talking about. No other youtuber has as perfect timing as you. Your timing in the way you explain things is EXACTLY the length that it should be.
Thanks for the compliment.
Watching this was like a horror movie. I was overcome with *fear* as long forgotten memories of studying AC electronics, vectors and imaginary numbers came flooding back. _Gulp_
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Thanks.
Thank you for making these. I really appreciate the time you put into the visuals along with the simple explanations. Your approach is a great complement to other lectures/materials. Whenever I don't quite grasp something somewhere else, I look up one of your videos and then go back. I find I am always able to grasp things at a higher level after. Don't change the format and continue to produce amazing content.
+Eric Kitchen, I am glad to hear that my videos are helpful. Thanks.
I am greatly thankful to you guys for this video. Anything visible through animations in Quantum Mechanics is of huge help.Keep inspiring us.
Thank you so much, you're making me interested to the true nature of our Universe and it's such an experience to try to understand.
Amazing video's you make
+OEI, thanks. I am glad that you like my videos.
This is by far the most amazing demonstration/visualization of the topic I have ever seen -- it clarified things quite a bit for me. Thank you so much and keep doing these videos, please! :)
This is such a well presented simplification of a fascinating topic. Thank you!
great video, Eugene! This was really helpful and entertaining at the same time.
+Derek Ojeda, thanks. I am glad to hear that.
He who claims to understand certainly does not understand.
Amazing visuals. I'll be sure to keep revisiting this video as we continue with quantum mechanics in my physics course!
Stunningly beautiful visualisation. Love your videos. Keep them coming, please
Wow! Fantasti Video...!!!... I've read a lot of books covering this topic but THIS video seems to have made some obstacles much more clearer now! Thanks for your time you invest in these video, great animation, good narration, so well explained. I hope you keep up this excellent work!
Hi,I use your videos to improve my knowledge of Physics and to improve my English.
i love your form to explain, it's so clear. Thanks
This. Video. Is. Awesome.
+Baptiste Loreau, thanks. Glad you liked it.
Don't quantiz your comment again 🙄
@@Trident_Euclid e
@ Eugene Khutoryansky : at 7.54 min.: energy is related to frequency and frequency is no. of rotation of wave. Now when partcle is trapped in 1D box, wavelength is discrete, but frequency (no of rotation) can be continuous...so energy should not be discrete. Here i don't think frequency wavelength relationship is applicable. So how you can explain this???
Ok
Awesome clip Eugene, and very apt in relation to the recent discovery by LIGO. Great building blocks towards a clip on gravitational waves and the hypothetical particle that accompanies (interacts) with these waves. Although I will have to watch it several times for my old brain to catch up :). Thanks for your great work
Your videos remind me of the old 1950s educational videos. So much information packed in an easy and clear format. No waststed time straight just to the point.
Nice vid! The energy levels in an infinite square well are quantized due to the fact that the boundary conditions yield 0 for the for the wave equation. psi(0)=0 and psi(L)=0. Needless to say, that the quantized energy levels of an infinite square well depends on the width of the well. Its because of these boundary conditions the we can normalize the wave function without having to use the fourier transform.
It seems like all we do in my quantum class is learn many methods for finding characteristics of the wave equation. It's nice to step back and look at the big picture every now and then
In my approach there is no need to refer to any wave function. Each individual process is described by the non-commutative elements of the phase-space algebra itself. Classical physics uses a commutative phase-space algebra. Classical physics has the Poisson brackets as a vital part of the description. What we have to understand is how that bracket emerges from the non-commutative structure. Now the non-commutative algebra contains two types of bracket, a commutator or Lie bracket (or Lie product to give it its proper mathematical name) and an anti-commutator or Baker bracket ( known as the Jordan product). The Lie bracket becomes the Poisson bracket as we go to the classical limit, while the Jordan product becomes the normal inner product. In symbols (AB + BA)/2 -> AB. The Jordan product is the most neglected product in the whole discussion of the foundations of quantum mechanics.
This is not a 'cheat answer’. It's what you have to understand if you really want to the relation between quantum and classical physics. The clearest discussion of this issue is in the paper I have attached.
I hope you find it helpful.
Basil Hiley
However non-commutativity is deeply ingrained in quantum phenomena and is not, in my opinion, “only mathematics”. The early pioneers of QM, such as Heisenberg, Born, Jordan, Dirac and others showed this feature of non-commutativity in great detail. It was Schrödinger’s work that led to the development of a tremendously successful algorithm based on the notion of a wave function which was formalised into the bras and kets that we have got very very used to manipulating. However by identifying the wave function with the 'state of a system’ we have been left with the unsolved ‘problem', the collapse of the wave function. After one hundred years of effort we have been unable to 'solve this problem’. In the last few years I have come to the conclusion that this is unsolvable simply because it is the wrong question as it is based on treating an algorithm rather than a description of an unfolding process.
That the quantum formalism was an algorithm was Bohr’s position all those years ago, but he argued that we could not go deeper by attempting to analysing the process because of the 'Principle of Complementary’. This philosophical principle seemed to have universal appeal outside of physics but now, he argued, with the advent of quantum phenomena, this principle also had a role to play in physics, so to Bohr, the principle became a universal principle that applied to all knowledge.
The availability of the ‘algorithm’ which was easy to manipulate and lead to experimental verification should be contrasted with the difficulty in understanding non-commutativity, both mathematically and conceptuality. Furthermore it was very difficult to apply it physical problems. Thus the algorithm becomes the ‘only game in Town’ as we learn how to deal with its uncomfortable features. Then there follows an attempt to make the formalism in to an ontology and the result is a plague of interpretations.
I have recently published two papers which address directly the challenge of providing a description of this ‘quantum unfolding’ as Dirac puts it. It is a very different approach which is based on an exploration of non-commutative geometry, in the same spirit of Alain Connes but using more physical intuition. It is a long story but I have a lecture on line at which may help. My lecture is Lecture 2 immediately after Roger Penrose’s lecture in the series ‘Mind and Matter’. My lecture was about 'Matter’ not ‘Mind'!
Enjoy,
Basil.
OMG, this is exactly what I was trying to visualize, you are awesome!
Glad you liked my video. Thanks.
@@EugeneKhutoryansky I would only like that you make an explanation for 3D more clear! I find this as important as some research, thank you for your work!
He who claims to understand certainly does not understand.
@@sakkmatt i do not see your point... does that means you dont have a point :o
Ok
This video is so great, i almost finish my first quantum mechanics course and I can say that this video summarizes a lot about it, and in my case it helps me to understand a lot more than the mathematical form we see in class.
You're doing some magic with your videos ! Absolutely loving it, keep on going !
Thanks.
I like this video, it's nice and not too simplified for it to keep its value. 2 Thumbs up!!
Thanks Eugene for this beautifull video. I love you for that you bring to the world =)
No other channels explains physics with this much detail...I love the way they explain everything with so much detail and simple manner ❤️😍👍🏻
I love all of your videos so much. It's making my class so much easier to understand.
Wow. Thanks for this. This has helped my head a lot.I'm not a physicist, just a curious person
I am the same. If you have any advice or sweet channels to look at please let me know! Thanks!
The music makes me feel like I'm watching a documentary on poltergeist in quantum mechanics
I am a indian please give me your whatsapp no
@@kmshaloo7111 noh
This is amazing! It's the first time I get to see the orbitals of an electron in action. In most books and videos you are presented to a more static representation of the orbitals as an electron cloud which stays...still..it doesnt oscillate like you present it. This is incredible. Your videos are very helpful to me since I am not a physicist but more of a guy with a chemical backround. Thank you for your contribution
+Dimitris Kolokouris, thanks. I am glad to hear that my videos have been helpful.
Awesome video. I've been brushing up on solid state chemistry before grad school and this helped a lot in trying to visualise what i was learning.
This is wonderful, he is using Fourier Series to explain Heisenberg's Uncertainty Principle. I never thought that position and momentum could be explained with harmonics. But once you accept the dual wait particle nature of energy and matter, you can then break down the waveform into harmonics.
+John Doe you can find the same qualitative explanation for this in Atkin's Physical Chemistry. It's a very delicate explanation i my opinion
+Dimitris Kolokouris Good to know. My Physical Chemistry text book back in the 1980's was Ira N. Levine, copyright 1978. I think there was another text box in the 2nd semester, but I lost it.
+John Doe
I am amazed that nobody has ever bothered to use harmonics to explain the Heisenberg Uncertainty Principle to me before! It seems like a very useful conceptualization, at least once you're comfortable with Fourier series...
Wait isn't it a she???
Narrator is a she (presumably, given voice and the name Kira). Writer is a he (Eugene).
The level of concentration on all fundamental concepts to truly understand what's going on... lots of work to do... whew.
William Alston i think that's the point
The quality of your videos is phenomenal. Your videos on quantum mechanics and wave-particle duality are very detailed and comprehensive.
Thanks for the compliment about my videos.
These visualizations are so helpful when trying to grasp these concepts. They don't always clarify everything for me, but they sure do help a lot. I also appreciate the fact that you express the concepts so carefully without glossing over things, or saying crazy things like the particle IS a wave, rather than it is represented by a wave. It always confuses and discourages me when I hear those kinds of statements, which you seem to scrupulously avoid, and that also helps a lot! Thanks for these excellent educational aids that you have created!
Thanks for the compliments.
@@EugeneKhutoryansky Thank you for the excellent content! Your visualizations are easily among the best available anywhere.
amazing video, and nice animation, hatts off!
+Sangeet Chand, thanks. I am glad you liked my video and my animations.
Interesting and useful animation. Would you mind making a 1-minute tutorial on how you did that animation? Thank you!
Great explanation, the visuals, pacing, and music were all perfect. Even though I am still confused, I understood the wave-particle behavior much better.
After watching many videos on the subject, for the first time I think I began understanding the concept. Thank you.
Great video as always :) Very helpful!
I've just got one question - at 7:30 onwards we can see that each particle in a box wavefunction = Asin(pi*n*x/L) e^i*omega*t
(where L is the length of the box and n is the harmonic)
you said that for higher n values, the angular frequency (omega) increases - so I was wondering what the relationship between omega and n is?
thanks a lot :)
You make physics a little bit easier to understand
much easier*
The link between orbitals from atomic chemistry and waves is amazing, and once it hits you, you never forget it
Great video! Excellent use of engaging visuals! The content was (happily) simple, reminded me of Brian Cox's book "The Quantum Universe". Really mind blowing details without mucking through the maths! Thank you!
+Following Feynman, thanks. I am glad you liked my video.
As always, its a clear explanation of a difficult subject. Its the best. Thanks.
Thanks for the compliment.
This is how the orbitals get their shape :O mind blown
Yes. More specifically, an orbital happens when the electron's position wave is confined by the electric force of the atomic nucleus. It interferes with itself and stabilizes as a standing wave configuration. This standing wave configuration is an orbital.
I'm currently reading the book The Quantum Universe by Brian Cox and Jeff Forshaw, and I once again found my way back to this channel. It seems that what ever I try to study (provided it is math or physics) always leads me here. So thank you again for another great video. And it is amazing that you were able to animate arguably one of the most complicated phenomenon to visualize in all of physics so intuitively.
Thanks for the compliment.
I can watch 100 videos from different channels, but I get some understanding for real only after I watch your video on a particular issue. Thank you a lot again!!!
I am glad my videos are helpful. Thanks.
please please give an animation for eigen function and eigen value
A video on Eigenvalues and Eigenvectors is coming soon. Thanks.
Physics Videos by Eugene Khutoryansky Hi..I want ur permission to translate ur videos to Urdu/Hindi language. M not earning anything but just adding my little service to my society.
For anything linear algebra, look up 3B1B. They have amazing, very conceptual videos :)
@@lineakristensen1821 Thanks for the reference to linear algebra, Excellent !!
Ok
Great video! What is the name of the song used at the beginning?
Thanks. All the music in this video is from the free UA-cam audio library, and the names of the songs are the following.
Clouds
Stale Mate
Best description/illustration of the Heisenberg uncertainty principle and the wave nature of particles that I have yet seen on UA-cam.
Thanks for the compliment about my video.
I love this and the work that you all do! Very helpful and intuitive, thank you!
+Marco Mosri, thanks for the compliment.
honestly kept watching to see if the beat would drop
This is god tier
This is the most timely and instructive video, like, ever.
How I wish I have found you years ago during my sophomore year to enhance my learning and understanding!
Also, what is the title and author of the piano composition?
+Josh E, The music is from the UA-cam's free audio library, and the names of the songs are "Clouds" and "Stale Mate."
+Physics Videos by Eugene Khutoryansky Believe it or not, I can't find a video for it. Seems fitting for the topic of the video. :|
@@digitaltheory4534 when you upload a video go to the music library and search for it there
the more quantum physics i try to learn the more confused i get lol
Probably that's a good thing. If you had understood everything maybe that'd mean that you wouldn't have understood it properly.
That’s because most of what they are saying is not reality.
With transcendental meditation which unifies ur conciousness wit energy u can see it lol I can see it an it's still alot to grasp but over time I will see it so much an be able to understand it an make this alot easier to understand
@@markfennell1167 it's reality once u bring ur conciousness to a certain level to unify wit it an see the "unseen"
Wow. Darn good video and explanation. One of the best I've seen for a non-physicist. Thank you.
5 years since I took my first physics course in high school and I only finally understand the significance of the shapes of orbitals and their relationship to wave functions. Thank you!
+Rizwan Awan (TheOnlyRizzy), Glad I was able to help. Thanks.
great explanation. worst music^^
Huge thumbs up! This answered a question I've had since engineering school about the orbits of electrons and why they exist in "shells".
Thanks. Glad I was able to help answer your question.
nice video, being able to visualize the aether really helps me understand
Very nice visualization.
Wavefunction, as I understand, is extremely difficult to imagine and impossible to observe with experiments. But your video helped me to imagine with big WOW how the electron could be orbiting the nucleus in different orbitals.
Thanks for this wonderful work.
Amazing work bruv, it makes it a lot easier to visualize
I have gained more understanding in 10 minutes here than in years of reading popular science books. Thank you.
Glad my video was helpful. Thanks.
Those videos are amazing, never stop making them!! You are at top 10 people i would like to meet in person!
+Marko Stojiljkovic, thanks for that really great compliment. Lots more videos are on their way.
This is an amazing video. Having the visualization of the wave function really helps to verify or correct what a person imagines as they are studying this stuff.
Thanks for the compliments about my video.
An awesomely clear explanation of the wave function!!!
+David Caywood, thanks. I am glad you liked it.
Magnificent video, finally I think I understand the physical explanation behind the Heisenberg uncertainty principle.
Thanks, and I am glad to hear that my video was helpful.
Thank you Eugene for your fast answer!
Superb visual interpretations and animations. Congratulations!
Thanks for the compliment.
well animated and presented
This is the best video i have known for quantum mechanics!!! thank you so much
Glad you liked my video that much. Thanks.
thank you so much for this helpful and amazing video.
The best illustrations I have seen yet. steve kastl
Wonderful, im more a visual thinker, not really a mathematician as such and love your videos helps a lot. Gives me a better handle on the maths. All the best
Excellent explanations and physics animations here, *thank you!*
Thanks for the compliment.
That was an excellent visualization on Pauli's Exclusion principle.
Thank U very much!!! You are so smart!!! Your videos are helpful and can give exact understanding!!! Hello from Kazakhstan!!!
The moment the video said that only specific energy levels were possible when the particle is constrained by energy, boundaries, etc. my head immediately jumped to the energy levels of electrons in atoms, and I was so excited when that example turned out to be true later in the video. Such a great “aha” moment, thank you.
Awesome visualizations! Subscribed.
Thanks. Glad you have you as a subscriber.
I like this! Good visualization of mathematical integration of multiple wave superposition and collapse of wave function, also relative to atomic structure, cool!
Thanks. I am glad you like my video.
This helped to fill in SO MANY gaps in my understanding (after reading numerous books about Quantum Mechanics and String Theory)!
Thank you for this wonderful production and very clear illustration of these complex concepts.
Thanks. Glad my video was helpful.
The books didn't make sense to you because the info is not true. There are no particles or physical matter. Nothing solid. Only Energy! So called particles are waves of Energy vibrating at different rates of frequencies. Infinite possibilities. An atom and all the sub atomic particles in an atom are empty space of Energy vibrating. The only reason your hand doesn't go through the table is because the table is vibrating at a similar rate as your body.
@@ChrisOakesCO Does that mean the 'strings' (in String Theory) are merely a way of describing those energy waves OR are they actually GENERATING those waves?
@@ParkinT If there's stings there waves, not solid matter. Do you know of anything that's solid? Even a rock or diamond made up of atoms. Atoms aren't solid an the sub atomic particles in atoms aren't solid either. They are all far apart from each other an moving around each other. I'm not saying this in a rude way, just saying there is no solid physical particles. All matter is condensed Energy.
Amazing ! I follow and go look at every other videos !
You explain this in a simple way. Great job
+Rizki Tio, thanks. I am glad you liked my explanation.
You capture so elegantly the true understanding of Eulers formula - that the real and imaginary axis of sine and cosine waves trace out a helix in 3D space. The understanding that the probability is proportional to the square of the radius makes crystal clear sense when you see that radius sweeping out a 2-Dimensional area
Thanks for the compliments about my visualization.
Nice explanation of the Heisenberg uncertainty and Schroedinger's equation.
+Alexandru Gheorghe, thanks. Though, I plan on eventually having a separate video devoted just to Schrodinger’s equation, and also a separate video devoted to the Heisenberg uncertainty principle.
This is the best quantum mechanics video in UA-cam by far
Thanks for that really great compliment.
I love your videos and explanations.
Very helpful video Eugene 🙌, amazing !! keep it up 👍
Thanks.
As a college junior in physics I want to thank you
I’m understanding my Quantum Mechanics class much better with this visualization! Thank you so much!
Thanks. I am glad my video is helpful. I have a number of other videos like this one which you might also like.
Quantum is one of the toughest thing to understand or visualize.... You nailed it
Loved it ❤️
Thank you for your video 👍
Amazing channel... Very intuitive illustrations.
Thanks for the compliment.
Congratulations. This is great visualisation!
Thanks for the compliment.
Very nice explanations and good animations!
+Александр Князев, thanks. Glad you liked it.
the wholeness of that mathematical function at 4:55 is so beautiful, when observed on a semi-controlled environment.
This video really helped me...Thank you 🌷
Absolutely great explanation of that topic!!
+Othmar Ortner, glad you liked it. Thanks.