Wave Function for <i>GL</i>(n,ℝ) Hyperbolic Sutherland Model II. Dual Hamiltonians-Reference-Cited by-同舟云学术

Wave Function for GL(n,ℝ) Hyperbolic Sutherland Model II. Dual Hamiltonians

Published:2022-11-15 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Kharchev S¹²,Khoroshkin S³²

Affiliation:

1. Institute for Theoretical and Experimental Physics , B. Cheremushkinskaya, 25, Moscow 117259, Russia

2. Institute for Information Transmission Problems RAS (Kharkevich Institute) , Bolshoy Karetny per. 19, Moscow, 127994, Russia

3. National Research University Higher School of Economics , Myasnitskaya 20, Moscow, 101000, Russia

Abstract

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

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnac317/47510727/rnac317.pdf

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