Published June 11, 2004 | Version v1
Journal article

Systems with intensity-dependent conversion integrable by finite orthogonal polynomials

  • 1. Institute of Theoretical Physics University in Bialystok, Lipowa 41, 15-424 Bialystok (Poland)
  • 2. Department of Physics, FNSPE, Czech Technical University, Brehova 7, CZ-115 19 Prague 1 (Czech Republic)

Description

We present exact solutions of a class of the nonlinear models which describe the parametric conversion of photons. Hamiltonians of these models are related to the classes of finite orthogonal polynomials. The spectra and exact expressions for eigenvectors of these Hamiltonians are obtained

Availability note (English)

Available online at http://stacks.iop.org/0305-4470/37/6115/a4_23_010.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/

Additional details

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
37
Journal Issue
23
Journal Page Range
p. 6115-6128
ISSN
0305-4470
CODEN
JPHAC5

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
35068966
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CONVERSION; EIGENVECTORS; EXACT SOLUTIONS; HAMILTONIANS; INTEGRAL CALCULUS; NONLINEAR PROBLEMS; PHOTONS; POLYNOMIALS; SPECTRA
Descriptors DEC
BOSONS; ELEMENTARY PARTICLES; FUNCTIONS; MASSLESS PARTICLES; MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS; MATHEMATICS; QUANTUM OPERATORS