The Heun equation and the Calogero-Moser-Sutherland system II: perturbation and algebraic solution

Abstract

We apply a method of perturbation for the $B{C}_1$ Inozemtsev model from the trigonometric model and show the holomorphy of perturbation.Consequently, the convergence of eigenvalues and eigenfuncions which are expressed as formal power series is proved. We investigate also the relationship between $L^2$ space and some finite dimensional space of elliptic functions.

arXiv comment30 pages, to appear in Electronic Journal of Differential Equations

References in corpus (2)

• The perturbation of the quantum Calogero-Moser-Sutherland system and related results
• Exact solutions of an elliptic Calogero--Sutherland model

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