I found you guys working through learning a deep understanding of angular momentum for the quantum chemistry I've been self studying this summer. My entire knowledge of QM has come from youtube and internet forums and I've been working my ass off to understand the foundation of the universe. I just want to give you both my sincerest gratitude for the phenomenal and professional content you've put up on this channel. Your videos are among the most well made, educationally succinct, and easy to follow quantum lectures out there. Contributing to the free body of knowledge available to our species is an admirable and important task. And you two are absolutely awesome profs. Thank you so much! Edit: as one point of feedback though, your sound effects. The intro woosh and ding sound effect when you say a key topic are too loud. I have the lecture volume up pretty high with headphones cause there's a lot of background noise nearby and those sound effects are like knives in my ear drums.
Great and compact lesson as always. Methodical and very consistent presentation, well thought-out structure (intro, background and coverage of prerequisites, cross-references to other videos, final summary) and also topically comprehensive (proof, most commonly applying special cases and then concrete examples). Thank you for your efforts. Quality and rigor of your videos is unmatched on youtube. I also see that you have yet to cover entanglement and spin 1/2. After entanglement, some introductory QC (computing) and perhaps decoherence and perturbation theory, would be great.
Glad to be back, we've been really struggling to keep a regular stream of videos, but we have quite a few in the pipeline, so hopefully it will become more regular...
@@ProfessorMdoesScience Please bring out some contents about Quantum Computing about how many areas are available like Topological Insulators, Quantum Channels (routers,repeaters), I am recently looking at papers on nature open access and was amazed how much we are unknown about current quantum Technologies. Please thank you.
@@UsamaThakurr Thanks for the suggestions! We do hope to move to applications of quantum mechanics once we've finished with the basics, and this will hopefully include condensed matter physics and quantum computing
@@ProfessorMdoesScience please get back to me. I know what the singularity looks like but help getting heard. Once you've seen and heard me you will get how serious I am. Thank you.
Thanks for a great video. I had two comments. (1) The canonical commutation relation can also be motivated by the hypervirial theorem using x instead of xp. This was first shown by Herbert Green in his wonderful quantum textbook Matrix Mechanics. I have been having some trouble with posting this comment, so I will post a video where you can see the derivation in a comment to this comment. (2) All finite moments of r in the hydrogen energy eigenstates can be found using the Kramers-Pasternak relations. I will post a recent European Journal of Physics on this in a reply to the comment as well.
I'm glad to see you again with a great new video. Your channel is excellent and with very useful content and I hope you can continue to do so. Good luck❤️❤️
We've been struggling to find the time, but we are definitely keen to continue... we have six more videos to finish the hydrogen series in the making, and plans for future videos after that!
Wow - crystal clear; so precise! Thank you! P.s. It is kind of amazing that something so . . . well . . . obvious as the hypervirial theorem actually has its own name! Maybe it was not so obvious when the first person thought of it!
Two questions from a layman: - Are there real matrices with complex eigenvalues? And are they some kind of opposite to the hermitian operators? Or don't they occur in QM? - According uncertainty principle, commutator of momentum and position doesn't vanish: [P;X] = h/2pi*i. So, there's some residual rest, QM relies on. But is there also an operator of time? Because: dE * dt >= ... How can we understand that?
Yes, there are real matrices with complex eigenvalues. You can probably build a simple 2x2 A matrix with complex eigenvalues by realising that the eigenvalues are the roots of a quadratic equation that you build from setting det(A-lambda*1)=0, and a quadratic equation can have complex roots.
For energy-time uncertainty principle (which has a completely different meaning and root from all the other uncertainty relations) there is good video on this very channel: "The time-energy uncertainty principle".
Dear Prof M....your videos are exceptionally good learning experiences. Do you have any plan in near future to make videos on non-equilibrium statistical mechanics? This is just a query, please forgive if it is bothering. Whole hearted thanks for all the learning experiences through your illuminating videos.
We always welcome suggestions! Our current plan is to first cover more topics on quantum mechanics, but we do hope to move to other areas in the future, including statistical mechanics!
sir kinetic energy and potential energy is realated to time energy?? is it time energy=kinetic+potential energy?? if kinetic energy and potential energy is 0 or infinitive then what is time energy value?? sir we known that in a atom nut ron is nutral charge is this time is 0?? pls sir reply??
I found you guys working through learning a deep understanding of angular momentum for the quantum chemistry I've been self studying this summer. My entire knowledge of QM has come from youtube and internet forums and I've been working my ass off to understand the foundation of the universe. I just want to give you both my sincerest gratitude for the phenomenal and professional content you've put up on this channel. Your videos are among the most well made, educationally succinct, and easy to follow quantum lectures out there. Contributing to the free body of knowledge available to our species is an admirable and important task. And you two are absolutely awesome profs. Thank you so much!
Edit: as one point of feedback though, your sound effects. The intro woosh and ding sound effect when you say a key topic are too loud. I have the lecture volume up pretty high with headphones cause there's a lot of background noise nearby and those sound effects are like knives in my ear drums.
Glad you like them! And thanks for the feedback, we'll look into the sound in future videos :)
Always a life-saver
Glad to be helpful!
Great and compact lesson as always.
Methodical and very consistent presentation, well thought-out structure (intro, background and coverage of prerequisites, cross-references to other videos, final summary) and also topically comprehensive (proof, most commonly applying special cases and then concrete examples). Thank you for your efforts. Quality and rigor of your videos is unmatched on youtube.
I also see that you have yet to cover entanglement and spin 1/2. After entanglement, some introductory QC (computing) and perhaps decoherence and perturbation theory, would be great.
Thanks for the very nice comment, and for the suggestions! Spin 1/2 is next after we finish with the hydrogen atom, so hopefully soon!
I am so glad you uploaded. Thank you for this ❤️
Glad to be back, we've been really struggling to keep a regular stream of videos, but we have quite a few in the pipeline, so hopefully it will become more regular...
@@ProfessorMdoesScience Please bring out some contents about Quantum Computing about how many areas are available like Topological Insulators, Quantum Channels (routers,repeaters), I am recently looking at papers on nature open access and was amazed how much we are unknown about current quantum Technologies. Please thank you.
@@UsamaThakurr Thanks for the suggestions! We do hope to move to applications of quantum mechanics once we've finished with the basics, and this will hopefully include condensed matter physics and quantum computing
@@ProfessorMdoesScience thank you so much I will be waiting for those videos.
The pacing in this video is perfect. Not too slow nor to fast.
Glad you think that! :)
What an excellent video, no word of admiration is appropriate!! My whole hearted thanks to you and your team!
Really glad to hear you are enjoying our videos!
You and your team has truly mastered the art of teaching!
Glad you like our approach to teaching! :)
@@ProfessorMdoesScience please get back to me. I know what the singularity looks like but help getting heard. Once you've seen and heard me you will get how serious I am. Thank you.
Thanks for a great video. I had two comments. (1) The canonical commutation relation can also be motivated by the hypervirial theorem using x instead of xp. This was first shown by Herbert Green in his wonderful quantum textbook Matrix Mechanics. I have been having some trouble with posting this comment, so I will post a video where you can see the derivation in a comment to this comment. (2) All finite moments of r in the hydrogen energy eigenstates can be found using the Kramers-Pasternak relations. I will post a recent European Journal of Physics on this in a reply to the comment as well.
The video is th-cam.com/video/Oxy13XD14XY/w-d-xo.html
It seems like youtube does not allow links to EJP articles. I have no idea why. The reference is Eur. J. Phys. 42, 025409 (2021)
A pdf of the article is site.physics.georgetown.edu/~jkf/publications/kramers_pasternack_ejp_2021.pdf
Thanks for the comments and the reference!
@James Freericks finite moments of r? is this related to electromagnetic multipoles of hydrogen? i'm new to this
thanks for the explanation! I really love your vids, guys!
Glad you like it! :)
I'm glad to see you again with a great new video. Your channel is excellent and with very useful content and I hope you can continue to do so. Good luck❤️❤️
Thanks for your support! We'll keep trying to publish videos more regularly, preparing quite a few to complete the hydrogen series right now!
it's been a while... hopefully this channel can grow forward
We've been struggling to find the time, but we are definitely keen to continue... we have six more videos to finish the hydrogen series in the making, and plans for future videos after that!
very good , I love your video ,keep doing ,you are the best
Glad you like the video! :)
Wow - crystal clear; so precise! Thank you! P.s. It is kind of amazing that something so . . . well . . . obvious as the hypervirial theorem actually has its own name! Maybe it was not so obvious when the first person thought of it!
Glad you like it! And I actually don't know about the origin of the name, it would be worth investigating!
Thanks again!
Thanks for watching! :)
Two questions from a layman:
- Are there real matrices with complex eigenvalues? And are they some kind of opposite to the hermitian operators? Or don't they occur in QM?
- According uncertainty principle, commutator of momentum and position doesn't vanish: [P;X] = h/2pi*i.
So, there's some residual rest, QM relies on. But is there also an operator of time? Because: dE * dt >= ... How can we understand that?
These are the most profound lessons about quantum mechanics.
Do you offer a sequentially structured DVD-Collection of this? I would buy it. 😀
Yes, there are real matrices with complex eigenvalues. You can probably build a simple 2x2 A matrix with complex eigenvalues by realising that the eigenvalues are the roots of a quadratic equation that you build from setting det(A-lambda*1)=0, and a quadratic equation can have complex roots.
And glad you like the videos, we are working on a website to give some more structure to the videos :)
For energy-time uncertainty principle (which has a completely different meaning and root from all the other uncertainty relations) there is good video on this very channel: "The time-energy uncertainty principle".
And the two legends are back
Glad to be back! :)
great video!!
Thanks for watching!
Dear Prof M....your videos are exceptionally good learning experiences. Do you have any plan in near future to make videos on non-equilibrium statistical mechanics? This is just a query, please forgive if it is bothering.
Whole hearted thanks for all the learning experiences through your illuminating videos.
We always welcome suggestions! Our current plan is to first cover more topics on quantum mechanics, but we do hope to move to other areas in the future, including statistical mechanics!
Can we please have one dedicated video to the discussion of Hilbert space?
We have a video introducing state space here: th-cam.com/video/hJoWM9jf0gU/w-d-xo.html
what program do you use?
We use Explain Everything for the slides
Plzz makea video on probability current density as well
Thanks for the suggestion, it is on our to-do list!
sir kinetic energy and potential energy is realated to time energy?? is it time energy=kinetic+potential energy?? if kinetic energy and potential energy is 0 or infinitive then what is time energy value?? sir we known that in a atom nut
ron is nutral charge is this time is 0?? pls sir reply??
Not sure I understand what you mean by "time energy"? The total energy of the system is the kinetic energy plus the potential energy.
Joule space is pretty cool. ^.^
Is that what it sounded like? (blush)
Please use homogeneous function on sho
I'm not sure I follow your point: we do use the SHO as an example in the final slide of the video
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I know what the singularity is and can show everyone. But nobody seems to listen. Please get back to me ASAP