The Heun equation and the Calogero-Moser-Sutherland system V: generalized Darboux transformations
Takemura, Kouichi
arXiv, 0508093 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2005-08-04
Classification:  Mathematics - Classical Analysis and ODEs,  Mathematical Physics,  Mathematics - Quantum Algebra,  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  33E10,34M35,82B23 
@article{0508093,
     author = {Takemura, Kouichi},
     title = {The Heun equation and the Calogero-Moser-Sutherland system V:
  generalized Darboux transformations},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0508093}
}

Takemura, Kouichi. The Heun equation and the Calogero-Moser-Sutherland system V:
  generalized Darboux transformations. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0508093/