Two-body problems-A unified, classical, and simple treatment of spin-orbit effects

Lai Him Chan, Louisiana State University
R. F. O'Connell, Louisiana State University


We show how the spin-orbit contribution to the two-body Hamiltonian, to order c-2, may be derived classically, in a simple but rigorous manner, from a knowledge of just the corresponding contributions for the one-body problem. As an illustration of the generality of our results, we consider, as particular cases, the electromagnetic and gravitational interactions and demonstrate how the usual results follow directly. © 1977 The American Physical Society.