A non-symmetric Yang-Baxter algebra for the quantum nonlinear Schrödinger model (PhD Thesis)

Abstract

We study certain non-symmetric wavefunctions associated to the quantum nonlinear Schrödinger (QNLS) model, introduced by Komori and Hikami using representations of the degenerate affine 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.

PhD thesis, University of Glasgow, submitted September 2011. 150 pages

References in corpus (2)

• Yang-Yang thermodynamics on an atom chip
• The Lieb-Liniger Model as a Limit of Dilute Bosons in Three Dimensions