Once again: Instanton method vs. WKB
High Energy Physics - Theory
2009-11-07 v3
Abstract
A recent analytic test of the instanton method performed by comparing the exact spectrum of the Lam potential (derived from representations of a finite dimensional matrix expressed in terms of generators) with the results of the tight--binding and instanton approximations as well as the standard WKB approximation is commented upon. It is pointed out that in the case of the Lam potential as well as others the WKB--related method of matched asymptotic expansions yields the exact instanton result as a result of boundary conditions imposed on wave functions which are matched in domains of overlap.
Keywords
Cite
@article{arxiv.hep-th/0109185,
title = {Once again: Instanton method vs. WKB},
author = {H. J. W. Müller-Kirsten and Jian-zu Zhang and Yunbo Zhang},
journal= {arXiv preprint arXiv:hep-th/0109185},
year = {2009}
}
Comments
10 pages, no figures. References list revised according to JHEP