Research output: Contribution to journal › Article › peer-review

Journal | J. Phys. A: Math. Theor. |
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Date | Published - 21 May 2013 |

Number of pages | 30 |

Original language | English |

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.

31 pages; added some references; minor corrections throughout

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- math-ph, math.MP, quant-ph

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