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Completeness of the Bethe ansatz on Weyl alcoves

Mathematical Physics 2010-09-24 v1 math.MP Representation Theory

Abstract

We prove the completeness of the Bethe ansatz eigenfunctions of the Laplacian on a Weyl alcove with repulsive boundary condition at the walls. For the root system of type A this amounts to the result of Dorlas of the completeness of the Bethe ansatz eigenfunctions of the quantum Bose gas on the circle with repulsive delta-function interaction.

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Cite

@article{arxiv.1009.4487,
  title  = {Completeness of the Bethe ansatz on Weyl alcoves},
  author = {E. Emsiz},
  journal= {arXiv preprint arXiv:1009.4487},
  year   = {2010}
}

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9 pages