this is the best channel to learn QM, I don't even know how to begin to thank you Professor. Truly amazing work what y'all do. You def inspire me!

Great Video. I am starting to fear though that you gave up on us, since there are no more updates.

How is artificial intelligence being used currently to calculate the eigenvalues and eigenfunctions of the 14 Lanthanides chemical elements of the periodic table?

I am trained in math (no physics). I love that these video can be understood for a broader audience.

I would be really useful if you had a slide for like 3 seconds before the proof started where you showed what notation you used. I'm used to different notation and it was hard to follow because I had to spend time figuring out what the symbols actually meant

I think it’s easier to define a pure state and a mixed state in the following way. A pure state is just a state where we can define a fixed phase between the states. For example, in the superposition pure state there is interference term that carries a phase for both u1 and u2. The same can’t be said about mixed states. The mixed state doesn’t have a fixed phase. Mixed states are just classical statistical ensembles. I hope this helps someone. 😊

At 1.01 is it necessarily a position eigen state, or any arbitrary state?

Hey, I have watched your videos on rigorous QM, and I really liked how intuitively the concepts were explained. Thanks for making these videos. I am trying to find a book on QM that is based on the modern state space formalism and covers a wide range of concepts and applications of QM. But it seems that most books either heavily overuse wave mechanics and/or use a weird hybrid between wave mechanics and state space formalism that I cannot make good sense out of. Is there any book, which uses the modern formalism strictly, and covers a wide array of QM topics?

Please get a nice mic

I didn't quite follow the bit at 4:30, when you said the commutator of A and a general function of B, is equal to the commutator of A and B, times the derivative of the function of B (with respect to what? to time? to B?). Did I miss the justification of this statement? Was it covered in an earlier video? By the way, I just discovered this channel, and I like it so much I'm starting from its beginning. Thank you for putting this out there.

Always a life-saver

Wonderful explanation dear madam. I need all the topics from Quantum Mechanics from Ur Class.

In geophysics this is used to determine whether the core is hot because of the pressure due to the weight above. It's not. Its radioactive decay. My ta said there's a book that tells how to do spherical harmonics . It was so easy when the teacher showed us. But the example was a potentially infinite series of integrals.

Brilliant video. So clear and well structured

great explanation

perfect

Where do these operator come from?

What are L plus and L Minus operators? Rest I understood. Thanks Professor madam.

At 11:17 you added the terms for ni=0, instead you could have subtracted those two terms and would have obtained the result that the commutator is 1 instead of anticommutator [because (ci dagger ci) gives 0, so it doesn't matter if we add or subtract we get the same RHS but LHS would be different giving both commutator and anticommutator equals to 1]. Same for ni=1 case. Can you please answer this query.

which are the eigenfunctions for the other 117 chemical elements (hydrogen, etc.)?

I don't get how one could represent things like position and momentum here. Those are continuous basis. Energy is fine, just a really long unit vector of coefficients for all posible energies. Do we just work in discrete basis like in matrix mechanics? If so, whats the form the hamiltonian will take in matrix form in the energy basis? What about the position operator in the energy basis? (To calculate useful properties like the expectations value)

Great explanation!

Thanks for this awesome video,the best explanation that i could possibly get,thank you so much!!!!

What is the recommended viewing sequence of the 95 videos. Is it suggested by viewing them from oldest to newest? Each video I have viewed refers to other videos. I find these very helpful in my learning quest!!!

I wish I had discovered you earlier; then I wouldn't have failed quantum mechanics :' ) Thank you for these high-quality lectures!

Can you make video about momentum angular momentum and spin for electromagnetic field

May i clarify my understanding for this lecture here? So what u mean is that different values of alpha and beta can represent a same physical state, since exchanging identical particles should not change anything. Right? And we should expect that the probability of measuring |up, up> remains the same, or rather be independent of alpha and beta. Am i right? But then, upon calculation, results completely contradicted this idea and thus we need to dismiss exchange degeneracy? Just like that?

Hello, for the proof that [A,B^n]=n[A,B]B^(n-1) if [A,[A,B]]=0 and [B,[A,B]]=0 ( 15:39 ), I don’t understand why we need [A,[A,B]]=0 ??? It seems we do not use this condition, so does it works if we only suppose [B,[A,B]]=0 ? Thanks for yours videos, those are great!

Great video, like all of yours! One question: Would NOT dropping the anti-commutator term make the inequality tighter (i.e. raise the lower bound)?

Thanks!

Which all books do you recommend, Ma'am?

Great stuff, thank you. Dan

Thankyou so much for the videos 🙏 They helped a lot

Thank You soo much , your videos are the best for the topic in YT, I regained my interest in theoretical physics because of you :))

Thanks - I do have an issue though with the notation towards the end; how can g_{ijkl} be dependent on a specific pair (q,q') when we have eliminated the sum over (space) indices? Shouldn't the expression for $g_{ijkl}$ be free of the q,q' just like the $f_{ik}$ and $h_{jl}$ at the top of the page?

thank ytou

thank you

what sbout mass equivalence with energy? does this set a relationship between mass and time?!

use inertia/momentum as void mass gravitation variable any variable isolated spedds operation of solve for AI chip unit

Hallo sir ! Unfortunately, in general, neither symmetric nor ant-isymmetric wavefunctions can be said to be eigenfunctions of the Hamiltonian. The wave function for an electron in a hydrogen-like atom with atomic number Z in the ground state is RZ(r)=2(Z/a0)^(3/2)*exp(-Zr/a0). RZ(r) is an eigenfunction of HZ=1/(2m)*p^2-Ze^2/(4πε0r). But RZ(r) is not an eigenfunction of HZ'=1/(2m)*p^2-Z'e^2/(4πε0r), Z'≠Z. Let us consider the case where a hydrogen-type atom with atomic number Z and a hydrogen-type atom with atomic number Z' are sufficiently separated from each other. And each electron in each atom is in the ground state. The anti-symmetric wave function Ψ={RZ(r1)RZ'(r2)-RZ(r2)RZ'(r1)}/2^(1/2) is not an eigenfunction of the Hamiltonian H=1/(2m)*p1^2-Ze^2/(4πε0r1)+1/(2m)*p2^2-Z'e^2/(4πε0r2). It should be an ironclad rule of quantum mechanics that the wave function is an eigenfunction of the Hamiltonian.

Thank You professor M does Science for your wonderful series course in Quantum Mechanics. I am a scientist , that comes from Electrical Enginering course work/career and my final metamorphosis dream is to fully mutate to a mix of Teoretical Physics + Computational Mathematics scientist

very nice video

Nice!

Thanks!

Would it be correct that at higher energy levels the kinetic energy of the electron decreases as potential energy increases?

Very clear, thanks!

Very clear and concise, thank you! Looking forward to the Quantum Field Operators problems and solutions - any idea when that might be available? 🙂

Never seen this derivation of transformation function between x and p basis. Usually it is directly introduced by Fourier coefficient.

Thank You professor M does Science for your wonderful channel in Quantum Mechanics

thank you for the videos. is there any difference between the eigenfunctions and eigenstates for the quantum harmonic oscillators?