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

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We apply a method of perturbation for the $BC_1$ 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.
30 pages, to appear in Electronic Journal of Differential Equations

Keywords

Classical Analysis and ODEs, Mathematical Physics, Spectral Theory, Exactly Solvable and Integrable Systems, 33E15; 81Q10

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/62907

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0112179
 http://arxiv.org/abs/math/0112179
 Electron. J. Differential Equations 2004 no.15 1-30

Collections

arXiv