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Semiclassical Calculation of Quantum-Mechanical Wave Functions for a Two-Dimensional Scattering System

Knudson, Stephen
; 
Delos, John B.
; 
Bloom, B.
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.
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Date
1985
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American Institute of Physics
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Physics
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Semiclassical_Calculation_of_Quantum_Mechanical_Wave_Functions_for_a_Two_Dimensional_Scattering_System.pdf
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Physics
DOI
https://doi.org/10.1063/1.449645
URI
https://scholarworks.wm.edu/handle/internal/988
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