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Homework Help: Convert equation to matrix

  1. Feb 10, 2013 #1
    1. The problem statement, all variables and given/known data

    The Hamiltonian for an individual anti-ferromagnetic dimer is given as
    H=J S(1) dot S(2) -μB(Sz(1)+Sz(2))
    Where J and μ are positive constants. Find the eigenvalues and Eigenvectors of H

    2. Relevant equations

    3. The attempt at a solution
    Haven't attempted anything really, I have no idea how to convert that equation into a matrix that I can take the eigenvalues of. I can take the dot product of S(1) and S(2), but I don't see how that gets me anywhere. Any hints?
  2. jcsd
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