paper

Semiclassical wave equation and exactness of the WKB method

arXiv:quant-ph/9911075 · doi:10.1103/PhysRevA.53.3798

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.

13 pages

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