# Notation & commutation questions

1. Aug 10, 2015

### Wminus

1. The problem statement, all variables and given/known data

2. Relevant equations
I guess one needs to keep in mind this:
https://en.wikipedia.org/wiki/Complete_set_of_commuting_observables

3. The attempt at a solution
Basically, my question is about the notation:

1) What does the subscript "ee" stand for in H_ee? And "pq" in r_pq??
2) Why is the hamiltonian bolded like it was a vector in the assignment??
3) What is $H_{LS}$?
4) Are these operators used to describe a many-electron atom?

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2. Aug 10, 2015

### Wminus

By the way, don't the spin operator and orbital angular momentum operator act on seperate wavefunctions in seperate hilbert-spaces? So is it even possible to find the commutation between them?

Last edited: Aug 10, 2015
3. Aug 13, 2015

### blue_leaf77

All these questions except for the second can be found in the discussion preceding the questions that you posted. Where did you find those problems?

4. Aug 13, 2015

### Wminus

actually there was no discussion preceding it, but no worries I found out about it. The professor told me in class what he meant.