Supersymmetric Quantum Mechanics with Spin-Orbit Couplings

Ming-Tang Lee；Hsiang-Nan Li

Chinese Journal of Physics

34卷5期（1996 / 10 / 01）

1221 - 1226

英文

We give the rule of constructing supersymmetric partner Hamiltonians containing spin-orbit couplings. It is found that if the eigenvalues of the spin and the orbital angular momentum Sz = 1/2 and Lz = l are assumed in one of the partner Hamiltonians, Sz = -1/2 and Lz = l + 1 must be assumed in another in order to make the total angular momentum Jz = l + 1/2 conserved. We employ this formalism to study a 2+1 dimensional electron-monopole system, and derive the energy spectrum and the eigenfunctions of its bound states.