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Zbl 0989.81028
Dunne, Gerald V.; Rao, Kumar
Lamé instantons.
(English)
[J] J. High Energy Phys. 4, No.1, Paper No.01(2000)019, 7 p. (2000). ISSN 1029-8479/e

Summary: 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 $\sqrt{e/\pi}$.
MSC 2000:
*81Q20 Semi-classical techniques in quantum theory
81T10 Model quantum field theories
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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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