The integrable multiboson systems and orthogonal polynomials

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.

26

References in corpus (2)

• The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue
• Polynomial Lie Algebras and Associated Pseudogroup Structures in Composite Quantum Models

Cited by in corpus (16)

• Vector Coherent States from Plancherel's Theorem, Clifford Algebras and Matrix Domains
• Some Integrable Systems in Nonlinear Quantum Optics
• On the dimensions of the oscillator algebras induced by orthogonal polynomials
• Some Orthogonal Polynomials Arising from Coherent States
• sl(2,R) symmetry and solvable multiboson systems
• Factorization method for second order functional equations
• Systems with Intensity Dependent Conversion Integrable by Finite Orthogonal Polynomials
• Classical and quantum Kummer shape algebras
• First contact remarks on umbra difference calculus references streams
• Generalized coherent states for q-oscillator connected with q-Hermite polynomials
• An integrable (classical and quantum) four-wave mixing Hamiltonian system
• Transformation design and nonlinear Hamiltonians
• Orthogonal polynomials attached to coherent states for the symmetric Poschl-Teller oscillator
• The exact solution of the eigenproblem for the parametric down conversion process in the Kerr medium
• On the structure of C*-algebras generated by the components of polar decompositions
• A class of vector coherent states defined over matrix domains