Calculate the energies of all 4 states up to 2nd order

  • Thread starter Penny
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  • #1
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Moved from a technical forum, no template.
Hi,
I'm dealing with the following problem. I hope someone could help me with it.
Problem is about 2 interacting particles (spin: 1/2 each), with Hamiltonian Ho=-A( S_1z + S_2z) and perturbation H1={(S_1x)*(S_2x) - (S_1y)*(S_2y)}. The question asks to calculate the energies of all 4 states up to 2nd order.
 

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  • #2
anorlunda
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:welcome:

@Penny , our homework helpers are not allowed to help until you show your attempt at a solution.
 
  • #3
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This is what i managed to do so far. I'm stuck with the perturbation terms on how to analyze them further so i can use S^2 or Sz that are already known.

20180823_225609.jpg


(sorry about the missing attempt at a solution, i wasn't aware)
 

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