The Heun equation and the Calogero-Moser-Sutherland system III: the finite gap property and the monodromy

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dc.creatorTakemura, Kouichi
dc.date2002-01-22
dc.date2004-02-05
dc.date.accessioned2026-07-07T04:46:02Z
dc.date.available2026-07-07T04:46:02Z
dc.descriptionA new approach to the finite-gap property for the Heun equation is constructed. The relationship between the finite-dimensional invariant space and the spectral curve is clarified. The monodromies are calculated and are expressed as hyperelliptic integrals. Applications to the spectral problem for the $BC_1$ Inozemtsev model are obtained.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0201208
dc.identifierhttp://arxiv.org/abs/math/0201208
dc.identifierJ. Nonlinear Math. Phys. 11 (2004), no. 1, 21-46
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63175
dc.subjectClassical Analysis and ODEs
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.subjectSpectral Theory
dc.subjectExactly Solvable and Integrable Systems
dc.subject33E15; 34B30; 14H70
dc.titleThe Heun equation and the Calogero-Moser-Sutherland system III: the finite gap property and the monodromy
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