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Simple degenerate perturbation problem.

  1. May 14, 2008 #1
    1. The problem statement, all variables and given/known data

    I have two particles with spin 1/2 and the following Hamiltonian:

    H = J S1.S2 + S1.B

    Now getting an exact solution is not a problem, however I need to use pertubation theory in the limit case when J is small.

    2. Relevant equations

    Just your standard perturbation theory.

    3. The attempt at a solution

    If the limit case was small B, then I can use standard perturbation theory for the 00 state, and degenerate theory for 10,11,1-1 states since

    H = H0 + k H1 and in this case k=B and if H0 has degenerate eigenvalues I need to use the degenerate perturbation for the 3 states.

    Now if J is small, how do I approach the problem? Do I need to check seperate cases? Does J = k in this case?
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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