TEMPORAL CROSSOVER FROM CLASSICAL TO QUANTUM BEHAVIOR - A MARKOV-CHAIN APPROACH

Y C LAI, E OTT, C GREBOGI, Ying-Cheng Lai

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Abstract

Previous renormalization group analyses that for chaotic systems near their critical points, the crossover time from classical to quantum behaviors scales with the Planck constant HBAR as t(max) approximately HBAR(-mu). We argue that the same scaling relation also holds for typical two-degrees-of-freedom and time-independent chaotic Hamiltonian systems. Our analysis makes use of a self-similar Markov-chain model which was previously used to qualitatively explain the algebraic decay law in Hamiltonian systems.

Original languageEnglish
Pages (from-to)148-152
Number of pages5
JournalPhysics Letters A
Volume173
Issue number2
Publication statusPublished - 1 Feb 1993

Keywords

  • HAMILTONIAN-SYSTEMS
  • TREE MODEL
  • TRANSPORT

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