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

TL;DR

This paper derives Mellin-Barnes integral representations for wave functions of the $GL(n,R)$ hyperbolic Sutherland model with any positive coupling, advancing the analytical understanding of this integrable system.

Contribution

It provides explicit Mellin-Barnes integral formulas for the wave functions of the $GL(n,R)$ hyperbolic Sutherland model for arbitrary positive coupling.

Findings

Explicit Mellin-Barnes integral representations of wave functions.

Applicable to any positive coupling constant.

Enhances analytical tools for studying the model.

Abstract

We obtain certain Mellin-Barnes integrals which present wave functions for $GL(n,\mathbb{R})$ hyperbolic Sutherland model with arbitrary positive coupling constant.