How does a Hamiltonian act on a combined orbital and spin state space?

[go quantum!]

Homework Statement

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.

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.

 

[diazona]

Same thing you posted at https://www.physicsforums.com/showthread.php?t=366702 ...