Semiclassical wave equation and exactness of the WKB method
Quantum Physics
2012-07-02 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.quant-ph/9911075,
title = {Semiclassical wave equation and exactness of the WKB method},
author = {M. N. Sergeenko},
journal= {arXiv preprint arXiv:quant-ph/9911075},
year = {2012}
}
Comments
13 pages