Essential self-adjointness of the elliptic Ruijsenaars models

2001 ◽  
Vol 42 (9) ◽  
pp. 4523-4553 ◽  
Author(s):  
Yasushi Komori
Keyword(s):  
Ruijsenaars Models

Integrability, Fusion, and Duality in the Elliptic Ruijsenaars Model

1997 ◽  
Vol 12 (11) ◽  
pp. 751-761 ◽  
Author(s):  
Kazuhiro Hikami ◽  
Yasushi Komori
Keyword(s):  
Difference Operator ◽  
Hecke Algebra ◽  
Root Systems ◽  
Baxter Equation ◽  
Reflection Equation ◽  
Fusion Procedure ◽  
Affine Hecke Algebra ◽  
Difference Analog ◽  
Type D ◽  
Ruijsenaars Models

The generalized elliptic Ruijsenaars models, which are regarded as a difference analog of the Calogero–Sutherland–Moser models associated with the classical root systems are studied. The integrability and the duality using the fusion procedure of operator-valued solutions of the Yang–Baxter equation and the reflection equation are shown. In particular a new integrable difference operator of type-D is proposed. The trigonometric models are also considered in terms of the representation of the affine Hecke algebra.

Conserved operators of the generalized elliptic Ruijsenaars models

1998 ◽  
Vol 39 (11) ◽  
pp. 6175-6190 ◽  
Author(s):  
Yasushi Komori ◽  
Kazuhiro Hikami
Keyword(s):  
Ruijsenaars Models

scholarly journals Source Identities and Kernel Functions for Deformed (Quantum) Ruijsenaars Models

2014 ◽  
Vol 104 (7) ◽  
pp. 811-835 ◽  
Author(s):  
Farrokh Atai ◽  
Martin Hallnäs ◽  
Edwin Langmann
Keyword(s):  
Kernel Functions ◽  
Ruijsenaars Models

scholarly journals Elliptic Quantum Groups and Ruijsenaars Models

1997 ◽  
Vol 89 (5-6) ◽  
pp. 963-980 ◽  
Author(s):  
Giovanni Felder ◽  
Alexander Varchenko
Keyword(s):  
Quantum Groups ◽  
Ruijsenaars Models ◽  
Elliptic Quantum
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