Temporal crossover from classical to quantum behavior: a Markov-chain approach

Ying Cheng Lai, Edward Ott, Celso Grebogi

Research output: Contribution to journalArticle

14 Scopus citations


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 h{stroke} as tmax∼h{stroke}. 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 (US)
Pages (from-to)148-152
Number of pages5
JournalPhysics Letters A
Issue number2
StatePublished - Feb 1 1993
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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