English

Wave function for $GL(n,\mathbb{R})$ hyperbolic Sutherland model II. Dual Hamiltonians

Representation Theory 2021-08-13 v1

Abstract

Recently we found Mellin-Barnes integrals, representing the wave function for GL(n,R)GL(n,\mathbb{R}) hyperbolic Sutherland model. In present paper, we establish bispectral properties of this wave function with respect to dual Ruijesenaars-Macdonald operators.

Cite

@article{arxiv.2108.05393,
  title  = {Wave function for $GL(n,\mathbb{R})$ hyperbolic Sutherland model II. Dual Hamiltonians},
  author = {S. Kharchev and S. Khoroshkin},
  journal= {arXiv preprint arXiv:2108.05393},
  year   = {2021}
}

Comments

16 pages

R2 v1 2026-06-24T05:02:35.118Z