A non-symmetric Yang-Baxter algebra for the quantum nonlinear Schrödinger model

QC Physics;QA Mathematics

Vlaar, Bart ; Korff, Christian

University:University of Glasgow

Department:School of Mathematics and Statistics

关键词: Quantum integrable systems, Quantum nonlinear Schrödinger model, Bethe ansatz, Quantum inverse scattering method, Yang-Baxter equation, Yangians, Vertex operators, Baxter’s Q-operator, Affine Hecke algebras, Weyl groups, Dunkl operators, Representation theory.;   

Others  :  http://theses.gla.ac.uk/3251/1/2011VlaarPhd.pdf

来源: University of Glasgow

【 摘 要 】

We study certain non-symmetric wavefunctions associated to the quantum nonlinear Schrödinger (QNLS) model, introduced by Komori and Hikami using representations of the degenerateaffine Hecke algebra. In particular, they can be generated using a vertex operator formalism analogous to the recursion that defines the symmetric QNLS wavefunction in the quantum inverse scattering method. Furthermore, some of the commutation relations encoded in the Yang-Baxter equation are generalized to the non-symmetric case.