Completeness of the Bethe ansatz on Weyl alcoves

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.

arXiv comment9 pages

References in corpus (3)

• Periodic integrable systems with delta-potentials
• Trigonometric Cherednik algebra at critical level and quantum many-body problems
• Bethe Equations for a g_2 Model