I only intended to watch 30 minutes of this. However, I am captivated. Incredibly precise lecturer. Only the best at MIT I presume. Hats off to you professor!
I think that an electron has shift in coordinate (1/2π)msλ in r-direction. [ms: spin quantum number, λ: wave length] Accordingly, the angular momentum is as follows: {r+(1/2π)msλ}p=rp+(1/2π)msλp=rp+ms(h/2π)=L+S. (De Broglie equation: p=h/λ) And the magnetic moment is as follows: (area)･(electric current)＝{πr^2+2πr･(1/2π)msλ}･(q/m)p/(2πr)= (q/2m)pr+2(q/2m)ms(h/2π)= (q/2m)L+2(q/2m)S. Thus, we can know that the g-factor for spin angular momentum is equal to 2. I'm sorry that I'm not good at English.
Since energy (Hamiltonian) is a frame dependent quantity, how mixing energy parcels in diferent frames yields correct results? Specificaly the h_0 in the proton's center of mass frame and delta_H in the electron's frame!
I just wanted to understand that confusing chart for adding spin, but I got tricked into understanding the fine structure of hydrogen which I had completely given up on lol. Great lecture
I only intended to watch 30 minutes of this. However, I am captivated. Incredibly precise lecturer. Only the best at MIT I presume. Hats off to you professor!
This guy is a fantastic lecturer. I wish I'd had someone like him both times I took quantum.
I struggled with my homework, then I watched this lecture and everything became easier. This guy is a great lecturer!
A truly fantastic teacher in all respects
I'm just here wondering who could dislike such a great lecture.
Complete nerds can do that @Enrique Morell
finally a good explanation of the Runge-Lentz vector
Best Quantum Mechanics Teacher
I think that an electron has shift in coordinate (1/2π)msλ in r-direction. [ms: spin quantum number, λ: wave length] Accordingly, the angular momentum is as follows: {r+(1/2π)msλ}p=rp+(1/2π)msλp=rp+ms(h/2π)=L+S. (De Broglie equation: p=h/λ)
And the magnetic moment is as follows: (area)･(electric current)＝{πr^2+2πr･(1/2π)msλ}･(q/m)p/(2πr)=
(q/2m)pr+2(q/2m)ms(h/2π)= (q/2m)L+2(q/2m)S.
Thus, we can know that the g-factor for spin angular momentum is equal to 2.
I'm sorry that I'm not good at English.
how mixing energy parcels in diferent frames yields correct results
15:00 why are we interested in evaluating it at lambda = 0
Barton! Tou are fantastic!
Certain sections in the lecture notes seem to be missing (Chapter 10 section 4 , 5 and some part of 6 too i reckon)
The latex document probably didn't compile right
ya thats true and kinda sad
1:09:05 can somebody give an explanation of what is about to happen?
Since energy (Hamiltonian) is a frame dependent quantity, how mixing energy parcels in diferent frames yields correct results? Specificaly the h_0 in the proton's center of mass frame and delta_H in the electron's frame!
Why is the audio only on the left ear?
1:35 you can't mispell Feynman's surname :C
hellmann is also misspelled :/
it's excellent!
thank you very much...
In 1:05 why is he saying the l^2 dosent commut with l*s? If we take l*s~(j^2-l^2-s^2) we can see they commut.
Do we know that L^2 commutes with J^2?
@@prabhatp654 i think so... l^2 and j are comutable beacuse l^2 is a scalar operator
how did they drive j^2=j(j+1)h
that‘s the eigenvalue of J^2 by quantum theory of angular momentum.
Ps you’re missing an h bar.
Thanks 🤍❤️
can they explain clebsh gordan coefficient
Did he explain them?
This is how I would imagine Benedict Cumberbatch playing a physics professor.
Same!!!! He looks like him right?
I could not find the lecture notes of this lecture?
The lecture notes are available on MIT OpenCourseWare at: ocw.mit.edu/8-05F13. Best wishes on your studies!
@@mitocw Certain sections in the lecture notes seem to be missing (Chapter 10 section 4 , 5 and some part of 6 too )
58:20
good
I just wanted to understand that confusing chart for adding spin, but I got tricked into understanding the fine structure of hydrogen which I had completely given up on lol. Great lecture