Baxter operators in Ruijsenaars hyperbolic system III. Orthogonality and completeness of wave functions
Mathematical Physics
2023-08-01 v1 High Energy Physics - Theory
math.MP
Quantum Algebra
Representation Theory
Abstract
In the previous paper we showed that the wave functions of the quantum Ruijsenaars hyperbolic system diagonalize Baxter Q-operators. Using this property and duality relation we prove orthogonality and completeness relations for the wave functions or, equivalently, unitarity of the corresponding integral transform.
Keywords
Cite
@article{arxiv.2307.16817,
title = {Baxter operators in Ruijsenaars hyperbolic system III. Orthogonality and completeness of wave functions},
author = {N. Belousov and S. Derkachov and S. Kharchev and S. Khoroshkin},
journal= {arXiv preprint arXiv:2307.16817},
year = {2023}
}