Orthogonality of Bethe Ansatz eigenfunctions for the Laplacian on a hyperoctahedral Weyl alcove
Mathematical Physics
2017-02-14 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
We prove the orthogonality of the Bethe Ansatz eigenfunctions for the Laplacian on a hyperoctahedral Weyl alcove with repulsive homogeneous Robin boundary conditions at the walls. To this end these eigenfunctions are retrieved as the continuum limit of an orthogonal basis of algebraic Bethe Ansatz eigenfunctions for a finite -boson system endowed with diagonal open-end boundary interactions.
Keywords
Cite
@article{arxiv.1602.02152,
title = {Orthogonality of Bethe Ansatz eigenfunctions for the Laplacian on a hyperoctahedral Weyl alcove},
author = {J. F. van Diejen and E. Emsiz},
journal= {arXiv preprint arXiv:1602.02152},
year = {2017}
}
Comments
48 pages, LaTeX