Completeness of the Bethe ansatz on Weyl alcoves

Details Completeness of the Bethe ansatz on Weyl alcoves Completeness of the Bethe ansatz on Weyl alcoves

2010-09-22

arxiv.org/abs/1009.4487v1

Lett. Math. Phys. 91, 61--70 (2010)

Physics

Mathematical Physics

9 pages

Scientific paper

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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