The integrable multiboson systems and orthogonal polynomials

TL;DR

This paper establishes a connection between multiboson Hamiltonian systems and orthogonal polynomials, using this relation to solve and integrate specific multiboson systems, exemplified by q-Hahn polynomials.

Contribution

It introduces a novel method linking multiboson systems with orthogonal polynomials to facilitate their integration.

Findings

Established a strict relation between multiboson Hamiltonian systems and orthogonal polynomials.

Successfully integrated multiboson systems associated with q-Hahn polynomials.

Demonstrated the effectiveness of the method through explicit examples.

Abstract

The strict relation between some class of multiboson hamiltonian systems and the corresponding class of orthogonal polynomials is established. The correspondence is used effectively to integrate the systems. As an explicit example we integrate the class of multiboson systems corresponding to q-Hahn polynomials.