A semiclassical quantization of area-preserving maps

Research output: Contribution to journalArticle

79 Scopus citations

Abstract

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
Volume6
Issue number2
DOIs
Publication statusPublished - 1983
Externally publishedYes

    Fingerprint

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistical and Nonlinear Physics

Cite this