A non-symmetric Yang-Baxter algebra for the quantum nonlinear Schr\"odinger model (PhD Thesis)
Mathematical Physics
2015-06-15 v1 math.MP
Abstract
We study certain non-symmetric wavefunctions associated to the quantum nonlinear Schr\"odinger (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.
Keywords
Cite
@article{arxiv.1303.6450,
title = {A non-symmetric Yang-Baxter algebra for the quantum nonlinear Schr\"odinger model (PhD Thesis)},
author = {Bart Vlaar},
journal= {arXiv preprint arXiv:1303.6450},
year = {2015}
}
Comments
PhD thesis, University of Glasgow, submitted September 2011. 150 pages