Once again: Instanton method vs. WKB

Details Once again: Instanton method vs. WKB Once again: Instanton method vs. WKB

2001-09-24

arxiv.org/abs/hep-th/0109185v3

JHEP 0111 (2001) 011

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, no figures. References list revised according to JHEP

Scientific paper

10.1088/1126-6708/2001/11/011

A recent analytic test of the instanton method performed by comparing the exact spectrum of the Lam${\acute e}$ potential (derived from representations of a finite dimensional matrix expressed in terms of $su(2)$ 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${\acute e}$ 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.

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