Isospectral mathieu - hill operators

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Springer Verlag

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info:eu-repo/semantics/closedAccess

Özet

In this paper we prove that the spectra of the Mathieu-Hill Operators with potentials ae(-i2 pi x) +be (i2 pi x) and ce(-i2 pi x) +de (i2 pi x) , where a, b, c and d are complex numbers, are the same if and only if ab = cd. This immediately results in a generalization of the extension of the Harrell-Avron-Simon formula.

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Anahtar Kelimeler

Mathieu - Hill Operator, Spectrum, Isospectral Operators

Kaynak

Letters in Mathematical Physics

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Cilt

103

Sayı

8

Künye

VELİEV, O.A. (2013). Isospectral mathieu - hill operators. Letters in Mathematical Physics, 103 (8), pp. 919-925. https://dx.doi.org/10.1007/s11005-013-0627-4.

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