sl(2,R) symmetry and solvable multiboson systems

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.

arXiv comment23 pages, 1 figure

References in corpus (4)

• The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue
• The integrable multiboson systems and orthogonal polynomials
• Some Integrable Systems in Nonlinear Quantum Optics
• Systems with Intensity Dependent Conversion Integrable by Finite Orthogonal Polynomials

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