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Notation & commutation questions

  1. Aug 10, 2015 #1
    1. The problem statement, all variables and given/known data
    See uploaded file.

    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?
     

    Attached Files:

  2. jcsd
  3. Aug 10, 2015 #2
    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
  4. Aug 13, 2015 #3

    blue_leaf77

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    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?
     
  5. Aug 13, 2015 #4
    actually there was no discussion preceding it, but no worries I found out about it. The professor told me in class what he meant.
     
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