Lam'e Instantons
High Energy Physics - Theory
2009-10-31 v2 Condensed Matter
High Energy Physics - Phenomenology
Abstract
We perform a precise analytic test of the instanton approximation by comparing the exact band spectrum of the periodic Lam\'e potential to the tight-binding, instanton and WKB approximations. The instanton result gives the correct leading behavior in the semiclassical limit, while the tight-binding approximation does even better. WKB is off by an overall factor of .
Keywords
Cite
@article{arxiv.hep-th/9906113,
title = {Lam'e Instantons},
author = {Gerald V. Dunne and Kumar Rao},
journal= {arXiv preprint arXiv:hep-th/9906113},
year = {2009}
}
Comments
4 pp, RevTeX, 4 figs, uses epsfig.sty; references added