The Heun equation and the Calogero-Moser-Sutherland system V: generalized Darboux transformations
Classical Analysis and ODEs
2015-06-26 v1 Mathematical Physics
math.MP
Quantum Algebra
Exactly Solvable and Integrable Systems
Abstract
We obtain isomonodromic transformations for Heun's equation by generalizing Darboux transformation, and we find pairs and triplets of Heun's equation which have the same monodromy structure. By composing generalized Darboux transformations, we establish a new construction of the commuting operator which ensures finite-gap property. As an application, we prove conjectures in part III.
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Cite
@article{arxiv.math/0508093,
title = {The Heun equation and the Calogero-Moser-Sutherland system V: generalized Darboux transformations},
author = {Kouichi Takemura},
journal= {arXiv preprint arXiv:math/0508093},
year = {2015}
}
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24 pages