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

Date

2004-02-05

Authors

Takemura, Kouichi

Journal Title

Journal ISSN

Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

Abstract

We apply a method of perturbation for the BC1 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 L2 space and some finite dimensional space of elliptic functions.

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Keywords

Heun equation, Calogero-Moser-Sutherland system, Inozemtsev model, Perturbation, Kato-Rellich theory, Trigonometric limit, Heun function, Algebraic solution

Citation

Takemura, K. (2004). The Heun equation and the Calogero-Moser-Sutherland system II: Perturbation and algebraic solution. <i>Electronic Journal of Differential Equations, 2004</i>(15), pp. 1-30.

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Attribution 4.0 International

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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