Quantum Conditions of the Relativistic Potential Problems

Details Quantum Conditions of the Relativistic Potential Problems Quantum Conditions of the Relativistic Potential Problems

1999-01-17

arxiv.org/abs/quant-ph/9901049v1

Physics

Quantum Physics

10 pages, ReVTeX, no figures

Scientific paper

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 $R_{i}\exp {\{iS_{i}/\hbar \}}$ 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.

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