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

Ying Cheng Lai, Edward Ott, Celso Grebogi

Research output: Contribution to journalArticlepeer-review

4 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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