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math-phAug 23, 2002
26
citations (OpenAlex)
authors
  • Maciej Horowski
  • Anatol Odzijewicz
  • Agnieszka Tereszkiewicz
institutions
  • University of Białystok
arXiv abstractPDF
paper

Some Integrable Systems in Nonlinear Quantum Optics

arXiv:math-ph/0207031 · doi:10.1063/1.1530756

Abstract

In the paper we investigate the theory of quantum optical systems. As an application we integrate and describe the quantum optical systems which are generically related to the classical orthogonal polynomials. The family of coherent states related to these systems is constructed and described. Some applications are also presented.

27 pages

References in corpus (1)

  • The integrable multiboson systems and orthogonal polynomials

Cited by in corpus (11)

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  • Combinatorial coherent states via normal ordering of bosons
  • An integrable (classical and quantum) four-wave mixing Hamiltonian system
  • Integrability and correspondence of classical and quantum non-linear three-mode system
  • The exact solution of the eigenproblem for the parametric down conversion process in the Kerr medium
  • Noncommutative Kahler-like structures in quantization
  • Extensions of C*-algebras by partial isometries
  • Some aspects of positive kernel method of quantization
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