Semiclassical chaos in an x sup 4 anharmonic oscillator

Journal Article · Fri Apr 10 00:00:00 EDT 1992 · Modern Physics Letters A; (Singapore)

DOI:https://doi.org/10.1142/S0217732392000859· OSTI ID:5169327

Anderson, J T ^[1]

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1. Physics Dept., Univ. of the Philippines, Manila (PH)

This paper reports on the Zaslavskii criterion for quantum chaos to a quartic anharmonic oscillator with dissipation and an external force term in the semiclassical approximation. The semiclassical equilibrium states and integral invariants are related to quantum states in terms of the ratio of h to the semiclassical action. Semiclassical chaos is found to occur with the destruction of integral invariants and equilibrium states but the quantum states are not destroyed.

• OSTI ID: 5169327
• Journal Information: Modern Physics Letters A; (Singapore), Vol. 7:11; ISSN 0217-7323
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANHARMONIC OSCILLATORS
STOCHASTIC PROCESSES
ACTIVATION ENERGY
EIGENVALUES
ENERGY LOSSES
EQUILIBRIUM
INTEGRAL TRANSFORMATIONS
SEMICLASSICAL APPROXIMATION
ELECTRONIC EQUIPMENT
ENERGY
EQUIPMENT
LOSSES
OSCILLATORS
TRANSFORMATIONS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
661100 - Classical & Quantum Mechanics- (1992-)