The Heun equation and the Calogero-Moser-Sutherland system III: the finite gap property and the monodromy
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🧮 math.CA
math-phmath.MPmath.QAmath.SPnlin.SI
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equationheunpropertyspectralapplicationsapproachcalculatedcalogero-moser-sutherland
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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.
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