Orbital Angular Momentum and Spin
We have seen that, in nonrelativistic quantum mechanics, the angular momentum operator is the generator of rotations and commutes with the Hamiltonians of rotationally invariant (i.e., spherically symmetric) systemsl. It thus plays a special role for such systems. For this reason, as a preliminary to the next topic — the Coulomb potential — we present here a detailed investigation of angular momentum in relativistic quantum mechanics.
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