Semiclassical wave equation and exactness of the WKB method

Details Semiclassical wave equation and exactness of the WKB method Semiclassical wave equation and exactness of the WKB method

1999-11-16

arxiv.org/abs/quant-ph/9911075v1

Phys. Rev. A 53 (1996) 3798

Physics

Quantum Physics

13 pages

Scientific paper

10.1103/PhysRevA.53.3798

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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