Heun equation and Inozemtsev models

Institute of Physics Conference Series

Volumn 173, Issue , 2003, Pages 605-608

  Takemura, Kouichi ^a  

^a YOKOHAMA CITY UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; HAMILTONIANS; LINEAR EQUATIONS; MATHEMATICAL MODELS; PROBLEM SOLVING; QUANTUM THEORY;

GENERALIZATION; HEUN EQUATIONS; INOZEMTSEV MODELS; INTEGRABLE MODELS;

INTEGRAL EQUATIONS;

EID: 4944261979     PISSN: 09513248     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (10)

1. N-type Dunkl operators Nuclear Phys. B 613 472-496
2. Inozemtsev V I 1989 Lax representation with spectral parameter on a torus for integrable particle systems Lett. Math. Phys. 17 11-17
3. Kalo T 1980 Perturbation theory for linear operators, corrected printing of the second ed. (Berlin: Springer-Verlag).
4. Komori Y and Takemura K 2002 The perturbation of the quantum Calogero-Moser-Sutherland system and related results Commun. Math. Phys. 227 93-118
5. Ochiai H, Oshima T, and Sekiguchi H 1994 Commuting families of symmetric differential operators Proc. Japan. Acad. 70 62-66.
6. Takemura K 2000 On the eigenstates of the elliptic Calogero-Moser model Lett. Math. Phys. 53 181-194
7. Takemura K 2001 The Heun equation and the Calogero-Moser-Sutherland system I: the Bethe Ansatz method Preprint math.CA/0103077
8. |8] Takemura K 2001 The Heun equation and the Calogero-Moser-Sutherland system II: the perturbation and the algebraic solution Preprint math.CA/0112179
9. Takemura K 2002 The Heun equation and the Calogero-Moser-Sutherland system III: the finite gap property and the monodromy Preprint math-CA/0201208
10. Takemura K 2002 Quasi-exact solvability of Inozemtsev models Preprint math.QA/0205274