Accuracy of the semiclassical approximation for chaotic scattering

Journal Article · Wed Feb 01 04:00:00 EST 1995 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)

DOI:https://doi.org/10.1103/PhysRevE.51.1576· OSTI ID:6640347

Jensen, J H ^[1]

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1. Department of Physics, University of Maryland, College Park, Maryland 20742 (United States)

The semiclassical approximation for scattering probabilities is tested for a simple chaotic system consisting of a particle in one dimension scattering from a localized potential that varies periodically in time. Good agreement between semiclassical and exact quantum mechanical results is found even for relatively large de Broglie wavelengths.

• OSTI ID: 6640347
• 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. 51:2; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

661100* -- Classical & Quantum Mechanics-- (1992-)
661300 -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
DE BROGLIE WAVELENGTH
DELTA FUNCTION
ENERGY
FUNCTIONS
POTENTIAL ENERGY
SCATTERING AMPLITUDES
SEMICLASSICAL APPROXIMATION
SINGULARITY