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

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Abstract

We study certain non-symmetric wavefunctions associated to 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) wavefunction 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.
Original languageEnglish
Article number235206
Number of pages30
JournalJ. Phys. A: Math. Theor.
DOIs
Publication statusPublished - 21 May 2013

Bibliographical note

31 pages; added some references; minor corrections throughout
© 2013 IOP Publishing Ltd This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details

Keywords

  • math-ph
  • math.MP
  • quant-ph

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