6533b81ffe1ef96bd1277073

RESEARCH PRODUCT

Unitary Representations of the Modular and Two-Particle Q-Deformed Toda Chains

S. KharchevD. LebedevM.a. Semenov-tian-shanskyM.a. Semenov-tian-shansky

subject

Pure mathematicsUnitary representationExplicit formulaeReal formDuality (optimization)Mathematics::Representation TheoryHopf algebraWhittaker functionUnitary stateRepresentation theoryMathematics

description

The paper deals with the analytic theory of the quantum two-particle q-deformed Toda chains. This is the simplest nontrivial example clarifying the role of the modular duality concept (first discovered by L.Faddeev) in the representation theory of noncompact semisimple quantum groups. Explicit formulae for the Whittaker vectors and Whittaker functions are presented in terms of the double sine functions.

yearjournalcountryeditionlanguage
2001-01-01
https://doi.org/10.1007/978-94-010-0670-5_14