1303.6450 (Bart Vlaar)

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

Bart Vlaar

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.

View original: http://arxiv.org/abs/1303.6450