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Algebraic derivation of the iterative-perturbative method as a global squeezing and displacement transformation

Urdaneta, I. ; Paz, J. L.

International journal of quantum chemistry, 2003, Vol.94 (4), p.179-188 [Periódico revisado por pares]

Hoboken: Wiley Subscription Services, Inc., A Wiley Company

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  • Título:
    Algebraic derivation of the iterative-perturbative method as a global squeezing and displacement transformation
  • Autor: Urdaneta, I. ; Paz, J. L.
  • Assuntos: algebraic iterative-perturbative method ; quartic anharmonic oscillator ; squeezing and displacement operators ; two-photon coherent states
  • É parte de: International journal of quantum chemistry, 2003, Vol.94 (4), p.179-188
  • Notas: ArticleID:QUA10636
    istex:1725ED80166CD373CC8D5784947B6F37B50A75E4
    ark:/67375/WNG-CT4QR680-6
    Decanato de Investigaciones, Universidad Simón Bolívar - No. GID-13
    Fondo Nacional de Ciencia, Tecnología Innovación (FONACIT) - No. 97000593
  • Descrição: We make use of iterative Bogoliubov transformations (IBT) and employ a procedure derived by Mundarain et al. to derive an approximate analytic expression for the evolution operator of a system consisting of a quartic oscillator coupled to a time‐dependent electric field. As a result, this expression resumes the whole iterative process as a global squeezing and displacement transformation in which the compression coefficients and translation parameters are obtained explicitly, thus giving a complete analytic structure to the process that supports and complements the conventional IBT and the bilinear approximation Echave, J., et al. J Chem Phys 1990, 92, 1188, which are mainly numerical and semiclassic approaches respectively. © 2003 Wiley Periodicals, Inc. Int J Quantum Chem 94: 179–188, 2003
  • Editor: Hoboken: Wiley Subscription Services, Inc., A Wiley Company
  • Idioma: Inglês
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