Classical chaos and quantum level density of an anharmonic oscillator
Journal Article
·
· International Journal of Theoretical Physics; (USA)
OSTI ID:6980931
- Tianjin Univ. (China)
The Liapunov exponents of two-dimension anharmonic oscillator systems are studied through numerical calculations. The result shows that the systems consist of regular and irregular regions in phase space in the classical limit. The corresponding quantum systems are investigated. The distribution P(s) of spacings between adjacent energy levels indicates a corresponding transition from Poisson-like distribution to Wigner-like distribution. P(s) is dependent on the total irregular fraction of phase space.
- OSTI ID:
- 6980931
- Journal Information:
- International Journal of Theoretical Physics; (USA), Journal Name: International Journal of Theoretical Physics; (USA) Vol. 28:4; ISSN 0020-7748; ISSN IJTPB
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANHARMONIC OSCILLATORS
ATOMIC MODELS
CLASSICAL MECHANICS
DISTRIBUTION
ELECTRONIC EQUIPMENT
ELECTRONIC STRUCTURE
ENERGY SPECTRA
ENERGY-LEVEL DENSITY
EQUIPMENT
HAMILTONIANS
LYAPUNOV METHOD
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATRICES
MECHANICS
OSCILLATORS
PERTURBATION THEORY
PHASE SPACE
QUANTUM MECHANICS
QUANTUM OPERATORS
SPACE
SPECTRA
STATISTICAL MECHANICS
TRAJECTORIES
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANHARMONIC OSCILLATORS
ATOMIC MODELS
CLASSICAL MECHANICS
DISTRIBUTION
ELECTRONIC EQUIPMENT
ELECTRONIC STRUCTURE
ENERGY SPECTRA
ENERGY-LEVEL DENSITY
EQUIPMENT
HAMILTONIANS
LYAPUNOV METHOD
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATRICES
MECHANICS
OSCILLATORS
PERTURBATION THEORY
PHASE SPACE
QUANTUM MECHANICS
QUANTUM OPERATORS
SPACE
SPECTRA
STATISTICAL MECHANICS
TRAJECTORIES