Quantum Conditions of the Relativistic Potential Problems

De-Hone Lin

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Quantum Conditions of the Relativistic Potential Problems

De-Hone Lin

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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 $R_{i}\exp {\{iS_{i}/\hbar \}}$ 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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De-Hone Lin. 1999-01-17. Quantum Conditions of the Relativistic Potential Problems. https://arxiv.org/abs/quant-ph/9901049

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