Quantum Conditions of the Relativistic Potential Problems

Abstract

The quantum conditions of the relativistic integrable systems whose classical motion is multiply periodic are given by considering the single-valuedness of the linear superposition of the approximate solutions $R_i\exp \{i{S}_i/\hslash \}$ with $R_i$ and $S_i$ being the solutions of the different branches of the current conservation equation and the relativistic Hamilton-Jacobian equation, respectively.

10 pages, ReVTeX, no figures