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 h{stroke} as tmax∼h{stroke}-μ. 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 language | English (US) |
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Pages (from-to) | 148-152 |
Number of pages | 5 |
Journal | Physics Letters A |
Volume | 173 |
Issue number | 2 |
DOIs | |
State | Published - Feb 1 1993 |
Externally published | Yes |
ASJC Scopus subject areas
- General Physics and Astronomy