Lamé instantons | Zendy

Gerald V. Dunne | Zendy; K. Rao | Zendy

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Lamé instantons

Author(s) -

Gerald V. Dunne,

K. Rao

Publication year - 2000

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2000/01/019

Subject(s) - instanton , wkb approximation , semiclassical physics , limit (mathematics) , physics , mathematical physics , spectrum (functional analysis) , quantum mechanics , tight binding , mathematics , mathematical analysis , quantum , electronic structure

We perform a precise analytic test of the instanton approximation bycomparing the exact band spectrum of the periodic Lam\'e potential to thetight-binding, instanton and WKB approximations. The instanton result gives thecorrect leading behavior in the semiclassical limit, while the tight-bindingapproximation does even better. WKB is off by an overall factor of$\sqrt{e/\pi}$.Comment: 4 pp, RevTeX, 4 figs, uses epsfig.sty; references adde

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