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

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

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

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

Physics

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

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 language	English
Pages (from-to)	148-152
Number of pages	5
Journal	Physics Letters A
Volume	173
Issue number	2
Publication status	Published - 1 Feb 1993

Keywords

HAMILTONIAN-SYSTEMS
TREE MODEL
TRANSPORT

Cite this

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title = "TEMPORAL CROSSOVER FROM CLASSICAL TO QUANTUM BEHAVIOR - A MARKOV-CHAIN APPROACH",

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.",

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author = "LAI, {Y C} and E OTT and C GREBOGI and Ying-Cheng Lai",

year = "1993",

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language = "English",

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journal = "Physics Letters A",

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T1 - TEMPORAL CROSSOVER FROM CLASSICAL TO QUANTUM BEHAVIOR - A MARKOV-CHAIN APPROACH

AU - LAI, Y C

AU - OTT, E

AU - GREBOGI, C

AU - Lai, Ying-Cheng

PY - 1993/2/1

Y1 - 1993/2/1

N2 - 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.

AB - 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.

KW - HAMILTONIAN-SYSTEMS

KW - TREE MODEL

KW - TRANSPORT

M3 - Article

SN - 0375-9601

VL - 173

SP - 148

EP - 152

JO - Physics Letters A

JF - Physics Letters A

IS - 2

ER -

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

Abstract

Keywords

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