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

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

2002-01-22

arxiv.org/abs/math/0201208v4

J. Nonlinear Math. Phys. 11 (2004), no. 1, 21-46

Mathematics

Classical Analysis and ODEs

24 pages

Scientific paper

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.

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