SUPERSYMMETRIC QUANTUM-MECHANICS WITH SPIN-ORBIT COUPLINGS

We give the rule of constructing supersymmetric partner Hamiltonians c ontaining spin-orbit couplings. It is found that if the eigenvalues of the spin and the orbital angular momentum S-z = 1/2 and L(z) = l are assumed in one of the partner Hamiltonians, S-z = -1/2 and L(z) = l+1 must be assumed in another in order to make the total angular momentum J(z) = l + 1/2 conserved. We employ this formalism to study a 2+1 dim ensional electron-monopole system, and derive the energy spectrum and the eigenfunctions of its bound states.