A semiclassical quantization of area-preserving maps

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A semiclassical path integral formalism is developed for a class of area-preserving maps. The quasi-energy spectrum of these systems is represented as a sum over closed orbits in the manner of Gutzwiller. The method is illustrated with some numerical tests of the "standard map".

Original languageEnglish (US)
Pages (from-to)195-210
Number of pages16
JournalPhysica D: Nonlinear Phenomena
Issue number2
Publication statusPublished - 1983
Externally publishedYes


ASJC Scopus subject areas

  • Applied Mathematics
  • Statistical and Nonlinear Physics

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