Signatures of quantum chaos in Wigner and Husimi representations

Journal Article · Tue Jun 01 00:00:00 EDT 1993 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)

DOI:https://doi.org/10.1103/PhysRevE.47.4552· OSTI ID:6772698

Lee, S B; Feit, M D ^[1]

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1. Physics Department, Lawrence Livermore National Laboratory, Livermore, California 94550 (United States) Department of Applied Science, University of California, Davis/Livermore, Livermore, California 94550 (United States)

In this paper, we study the quantum manifestations of classical chaos in phase space using Wigner and Husimi distribution functions. We test the claim that Husimi represents the correspondence better than Wigner does. The results show the claim is valid. We also use a quantum dissipation scheme empirically for classically damped motions often characterized by strange attractors. We believe quantum resemblance to classical distributions can be regarded as signatures of quantum chaos in phase space.

• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6772698
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States), Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States) Vol. 47:6; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

661100* -- Classical & Quantum Mechanics-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
DISTRIBUTION FUNCTIONS
ENERGY LOSSES
EQUATIONS
FLUCTUATIONS
FUNCTIONS
LOSSES
MATHEMATICAL SPACE
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PHASE SPACE
QUANTUM MECHANICS
RANDOMNESS
SCHROEDINGER EQUATION
SPACE
STOCHASTIC PROCESSES
VARIATIONS
WAVE EQUATIONS
WIGNER DISTRIBUTION