Lecture 16: Eigenstates of the Angular Momentum Part 2

MIT 8.04 Quantum Physics I, Spring 2013
Instructor: Allan Adams

In this lecture, Prof. Adams continues the discussion on the quantum mechanics of angular momentum. The structure of angular momentum eigenvalues are discussed. Eigenfunctions of angular momentum are introduced.

License: Creative Commons BY-NC-SA

[sidddddddddddddd]

This guy just loves Physics. Walter Lewin, Barton Zwiebach, Allan Adams, etc. You can't even choose one out of these people. All of them are pure gold! MIT is one crazy institution to house all these professors.

[swatlover]

I fell asleep watching something completely different. Woke up to this, immediately went back to sleep with this in background, felt like high school again. Best sleep ever before my janitor shift.

[KipIngram]

I can't put into words how strongly the "spinor demo" at 1:00:00 makes me think that those particles must have some sort of "connection" to other parts of the surroundings. Because look - when he did that his HAND *did* come back to the same state. It was his ARM that didn't. And it was his ARM that got back into the right state after a further spin around. So it seems to me like something beyond the spinor itself is required to "implement" that behavior.

[sumitparida]

There's no nb files for spherical harmonics in MIT OCW.
Spherical harmonics file and Quantum harmonic file
are same .

[phonon]

17:46 this equation is confusing. The expectation value of x squared normally is not equal to the square of the expectation value of x. h^2m^2 is the square of the expectation value of Lz, however <Lx^2> <Ly^2> h^2l(l+1) are the expectation value of Lx^2 Ly^2 L^2. They are not self-consistent.

[arenthesium]

2.5M people started but only 50000 came here

[vatsaljain]

@MITOCW can you please make available the lecture notes from lecture 9-24. It would be of great help to the learners like me

[shinglau]

Can anyone tell me which file is the mathematica package prof. Adam was talking about? I have visit the course website's "Study Materials", but could not find it.

[chiragbhuptani]

thanks a lot for teaching this problem

[Aceshifter]

No one will probably answer before I finish my degree, but how come there are non-zero values for the Angular momentum in z for the state Y_20 at 1:18:48? It seems to me that m = 0 would eliminate the possibility of this "Donut" forming along the Z axis in the middle.

[juanarcila]

at the beggining the subtitles are translating "5" instead of "psi".... btw thanks for uploading this

[CHistrue]

I was going to speak intelligently on the angular momentum of quantum particles but my range is too small.

[ashismodak]

56:35 why Ylm(theeta, phi)=0 for m is half integer?

[DescartesRenegade]

leagues better than my professor at Cal...

[dianasmithli]

i find Allen didn't wear shoes。。。。

[verward]

I'm starting to think this guy doesn't even like coffee/ the other beverages he brings to his lectures. What's the point of coffee if you're not going to drink it hot?

[awilmohamoud]

Allah is the Light of the heavens and the earth. The parable of His Light is as a niche and within it a lamp: the lamp is in a glass, the glass as it were a star Durriyyun, lit from a blessed tree, an olive, neither of the east nor of the west, whose oil would almost glow forth, though no fire touched it

.
The exact translation of the saying is, “I bear witness that there is no deity but Allah, and I bear witness that Muhammad is the messenger of Allah.”