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Article
Semiclassical Calculation of Quantum-Mechanical Wave Functions for a Two-Dimensional Scattering System
Journal of Chemical Physics
  • Stephen Knudson, William & Mary
  • John B. Delos, William & Mary
  • B. Bloom, William & Mary
Document Type
Article
Department/Program
Physics
Pub Date
1-1-1985
Publisher
American Institute of Physics
Abstract

The semiclassical theory developed by Maslov and Fedoriuk is used to calculate the wave function for two‐dimensional scattering from a Morse potential. The characteristic function S and the density Jacobian J are computed in order to obtain the primitive wave function. The incident part shows distorted plane‐wave behavior and the scattered part shows radially outgoing behavior. A uniform approximation gives a wave function that is well‐behaved near the caustic.

DOI
https://doi.org/10.1063/1.449645
Disciplines
Citation Information
Stephen Knudson, John B. Delos and B. Bloom. "Semiclassical Calculation of Quantum-Mechanical Wave Functions for a Two-Dimensional Scattering System" Journal of Chemical Physics Vol. 83 Iss. 11 (1985) p. 5703 - 5711
Available at: http://works.bepress.com/john-delos/91/