Wednesday, July 4, 2012

1207.0723 (Bart Vlaar)

A non-symmetric Yang-Baxter Algebra for the Quantum Nonlinear
Schrödinger Model

Bart Vlaar
We study certain non-symmetric eigenfunctions of the Hamiltonian of the quantum nonlinear Schr\"odinger model, introduced by Komori and Hikami using Gutkin's propagation operator, which involves representations of the degenerate affine Hecke algebra. We highlight how these functions can be generated using a vertex-type operator formalism similar to the recursion defining the symmetric (Bethe) eigenfunction in the quantum inverse scattering method. Furthermore, some of the commutation relations encoded in the Yang-Baxter equation for the relevant monodromy matrix are generalized to the non-symmetric case.
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