sl(2,R) symmetry and solvable multiboson systems

TL;DR

This paper explores multiboson systems with sl(2,R) symmetry, demonstrating their integrability via orthogonal polynomials and constructing their coherent state representations.

Contribution

It introduces a method to integrate multiboson Hamiltonians with sl(2,R) symmetry using orthogonal polynomial theory and develops their coherent state representations.

Findings

Hamiltonians are integrated using orthogonal polynomials.

Coherent state representations are constructed for these systems.

The systems exhibit solvable structures due to sl(2,R) symmetry.

Abstract

The one-mode and the two-mode multiboson systems with sl(2,R) symmetry are investigated.Hamiltonians of these systems are integrated using the theory of orthogonal polynomials. The coherent state representation for these systems is constructed.