- #1
Vkun
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Homework Statement
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.
Homework Equations
Just your standard perturbation theory.
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 separate cases? Does J = k in this case?