论文标题

通过量子汉密尔顿 - 雅各比方程,精确的WKB样公式

Exact WKB-like Formulae for the Energies by means of the Quantum Hamilton-Jacobi Equation

论文作者

Girard, Mario Fusco

论文摘要

结果表明,通过基于量子汉密尔顿 - 雅各比方程的方法,可以在不正确时修改量子系统能量水平的WKB表达式,获得精确的WKB样式。这扩展了以前的论文中发现的结果,其中证明QHJ方法为波函数提供了精确的WKB样表达式。

It is shown that by means of the approach based on the Quantum Hamilton-Jacobi equation, it is possible to modify the WKB expressions for the energy levels of quantum systems, when incorrect, obtaining exact WKB-like formulae. This extends the results found in previous papers, where it was demonstrated that the QHJ method provides exact WKB-like expressions for the wave functions.

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