Lam'e Instantons

Details Lam'e Instantons Lam'e Instantons

1999-06-15

arxiv.org/abs/hep-th/9906113v2

JHEP 0001 (2000) 019

Physics

High Energy Physics

High Energy Physics - Theory

4 pp, RevTeX, 4 figs, uses epsfig.sty; references added

Scientific paper

10.1088/1126-6708/2000/01/019

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 $\sqrt{e/\pi}$.

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