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