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

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A 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.
24 pages

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Classical Analysis and ODEs, Mathematical Physics, Quantum Algebra, Spectral Theory, Exactly Solvable and Integrable Systems, 33E15; 34B30; 14H70

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http://salesiana.dossiersoluciones.com/handle/123456789/63175

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0201208
 http://arxiv.org/abs/math/0201208
 J. Nonlinear Math. Phys. 11 (2004), no. 1, 21-46

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arXiv