Semiclassical chaos in an x sup 4 anharmonic oscillator

Journal Article · Fri Apr 10 04:00:00 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), Journal Name: Modern Physics Letters A; (Singapore) Vol. 7:11; ISSN 0217-7323; ISSN MPLAE
• Country of Publication: United States
• Language: English

Related Subjects

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