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

Research output: ThesisDoctoral Thesis

Abstract

We study certain non-symmetric wavefunctions associated to the quantum nonlinear Schrodinger (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 de nes 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.
Original languageEnglish
QualificationDoctor of Philosophy
Awarding Institution
  • University of Glasgow
Supervisors/Advisors
  • Korff, Christian, Supervisor, External person
Publication statusPublished - 2011

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