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Semiclassical wave equation and exactness of the WKB method

M. N. Sergeenko
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Abstract

The exactness of the semiclassical method for three-dimensional problems in quantum mechanics is analyzed. The wave equation appropriate in the quasiclassical region is derived. It is shown that application of the standard leading-order WKB quantization condition to this equation reproduces exact energy eigenvalues for all solvable spherically symmetric potentials.

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M. N. Sergeenko. 1999-11-16. Semiclassical wave equation and exactness of the WKB method. https://doi.org/10.1103/physreva.53.3798

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