• DocumentCode
    3157643
  • Title

    Generalized coherent states for classical orthogonal polynomials

  • Author

    Borzov, V.V.

  • Author_Institution
    Dept. of Math., St. Petersburg Univ., Russia
  • fYear
    2002
  • fDate
    2002
  • Firstpage
    47
  • Lastpage
    53
  • Abstract
    For oscillator-like systems, connected with the Laguerre, Legendre and Chebyshev polynomials, coherent states of Glauber-Barut-Girardello type are defined. The suggested construction can be applied to each system of orthogonal polynomials including classical ones as well as deformed ones.
  • Keywords
    Chebyshev approximation; Legendre polynomials; oscillators; stochastic processes; Chebyshev polynomials; Glauber-Barut-Girardello type coherent states; Laguerre polynomials; Legendre polynomials; classical orthogonal polynomials; generalized coherent states; orthogonal polynomials; oscillator-like systems; Algebra; Chebyshev approximation; Continuous wavelet transforms; Jacobian matrices; Optical wavelength conversion; Oscillators; Polynomials; Power generation; Symmetric matrices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Day on Diffraction, 2002. Proceedings. International Seminar
  • Print_ISBN
    5-7997-0469-X
  • Type

    conf

  • DOI
    10.1109/DD.2002.1177892
  • Filename
    1177892
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3157643