Finite-gap difference opeators with elliptic coefficients and their spectral curves

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dc.creatorZabrodin, A.
dc.date1999-10-19
dc.date.accessioned2026-07-07T05:31:13Z
dc.date.available2026-07-07T05:31:13Z
dc.descriptionWe review recent results on the finite-gap properties of difference operators with elliptic coefficients and give explicit characterization of spectral curves for difference analogues of the higher Lamé operators. This curve parametrizes double-Bloch solutions to the difference Lamé equation. The curve depends on a positive integer number \ell, related to its genus g by g=2\ell, and two continuous parameters: the lattice spacing ηand the modular parameter τ. Isospectral deformations of the difference Lamé operator under Volterra flows are also discussed.
dc.descriptionTalk given at the workshop "Physical Combinatorics", (IIAS-RIMS, January 1999), 15 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/9910097
dc.identifierhttp://arxiv.org/abs/math/9910097
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79260
dc.subjectQuantum Algebra
dc.subjectExactly Solvable and Integrable Systems
dc.subject39A70, 33E10
dc.titleFinite-gap difference opeators with elliptic coefficients and their spectral curves
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