International Journal of Theoretical Physics

, Volume 54, Issue 7, pp 2192–2203 | Cite as

A Semiclassical Condition for Chaos Based on Pesin Theorem

  • I. Gomez
  • M. Losada
  • S. Fortin
  • M. Castagnino
  • M. Portesi
Article

Abstract

A semiclassical method to determine if the classical limit of a quantum system shows a chaotic behavior or not based on Pesin theorem, is presented. The method is applied to a phenomenological Gamow–type model and it is concluded that in the classical limit the dynamics exhibited by its effective Hamiltonian is chaotic.

Keywords

Pesin theorem Lyapunov exponents Kolmogorov–Sinai entropy Classical limit 

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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • I. Gomez
    • 1
    • 2
  • M. Losada
    • 3
  • S. Fortin
    • 4
  • M. Castagnino
    • 3
  • M. Portesi
    • 5
  1. 1.Instituto de Física de Rosario (IFIR-CONICET)Santa FeArgentina
  2. 2.Departamento de Física (FCE, Universidad Nacional de La Plata)Instituto de Física La Plata (IFLP)La PlataArgentina
  3. 3.Instituto de Física de Rosario (IFIR-CONICET)Santa FeArgentina
  4. 4.CONICET - Departamento de Física, FCEN (UBA)Buenos AiresArgentina
  5. 5.Instituto de Física de La Plata (CONICET-UNLP)Departamento de Física (FCE, Universidad Nacional de La Plata)La PlataArgentina

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