Lecture 18: 'Hydrogen' and its Discontents

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

In this lecture, Prof. Adams continues the discussion on hydrogen atoms. Runge-Lenz symmetry and relativistic corrections are discussed. Zeeman effect and Pauli exclusion principle are also covered.

License: Creative Commons BY-NC-SA

[kunalverma]

This is one of the BEST lecture in the entire series.

[Aragmatiki]

Amazing as always !!! The part of the lecture for the Lenz-Runge vector conservation was quite an mind-blowing one

[ikarienator]

FYI, the name of the mysterious conserved quantity is spelled as "Laplace–Runge–Lenz vector".

[osherlerner]

Every lecture blows my mind all over again

[WiremuWinitana]

Great lectures, great teachers, great questions, great course! 
:v

[imantidli]

Pression = press ion
Energy= inner J
Volume= wall résistance
Etc.

[szelau]

Question: around 39:25 the treatment is basically redefining Klein-Gordon, but that leads to some ill-defined negative energy states, doesn't it? So a full relativistic correction should require the Dirac equation, or is this treatment a sufficient treatment as an approximation?

[zacharythatcher]

I am currently looking into spin orbit coupling and trying to understand band splitting via spacial inversion symmetry breaking at interfaces causing electrical fields. A common explanation for the band splitting is that, as an electron moves through the electric field, it experiences an effective magnetic field in it’s rest frame due to relativistic effects. Now I know that this has to do with crystal momentum, and this lecture isn’t there yet, but does anyone have a resource that explains why electric fields cause magnetic fields in the rest frame of a moving charged particle? Thanks!

[atticusw]

at 1:17:51 - factual correction: George Uhlenbeck is the father*-in-law* of Karen Uhlenbeck

[CHistrue]

I would understand the Pauli Exclusion principle better but the fermions inside the neurons in my brain felt too squeezed when I tried to think about it.

[pierrecoldrey]

Isn't a mistake in the relativist formulation of Kenetic energy?
 KE = mc²/((1-v²/c²)^(1/2)) - mc² ??

[physicscurious-zqls]

40:50 what will be the implications if KE is corrected to higher powers of p using taylor series?

[chitresguria]

magnetic moment was dimensionally wrong there?
where does c come from in the denominator.

[leif]

So you can't know all three components of angular momentum x, y, and z at the same time because if you measure in one direction, you automatically disturb its movement in at least on one other direction? Is that right? If you try to measure them simultaneously at least, I imagine. Since if it's not simultaneous, I don't see why you couldn't know the three just at different times..

[viniciomonge]

-WE HAVE THIS GIGANTIC DEGENERACY
-Everyone cool with this DEGENERACY?

Phrases that you can say in 804 and in an orgy.

[mariariveraburgos]

Please, Can someone tell me what references are using them of quantum mechanics?

[nibussss]

If u know a student is smart....shud the professor during lecture...worry about psychological..makeup...
..
The key....upmanship and chess Vs interest to just learn...know..curiosity can be a better guide...

[ssleddens]

He is not teaching, just writing on the chalk board

[candoga]

What is wrong with him? Why he always in a rush to explain things? Better not to teach anything...