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Hamiltonian being a function of either orbital and spin operators

  1. Jan 2, 2010 #1
    1. The problem statement, all variables and given/known data
    The title presents my problem. I know in principle how to find eigenvalues and eigenfunctions of the Hamiltonian if it depends only on orbital operators or in spin operators. On the other hand I have no clue how to solve it if there are both types of operators.

    3. The attempt at a solution
    The complete state space will be the cartesian (or direct?!) product of the orbital state space with the spin state space. Nevertheless, I have no idea how the hamiltonian will act on that complete space.
  2. jcsd
  3. Jan 2, 2010 #2


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