Quantum corrections for chaotic scattering

J. H. Jensen
Phys. Rev. A 45, 8530 – Published 1 June 1992
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Abstract

The leading quantum corrections for the scattering of a particle in one dimension from a pulsed potential are discussed. Depending on the model parameters, the scattering may be either regular or chaotic. The quantum corrections are obtained by applying a semiclassical formalism that gives the distribution of scattered momenta down to a resolution of order ħ4/5. At this resolution, the main quantum effect is the softening of the classical rainbow singularities into peaks with widths of order ħ2/3. Quantum corrections for examples of both regular and chaotic scattering are compared with exact quantum results, and a criterion is given for estimating the resolution at which the corrections first become significant.

  • Received 13 February 1992

DOI:https://doi.org/10.1103/PhysRevA.45.8530

©1992 American Physical Society

Authors & Affiliations

J. H. Jensen

  • Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742

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Issue

Vol. 45, Iss. 12 — June 1992

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