Semiclassical calculation of quantum-mechanical wave functions for a two-dimensional scattering system
- 1 December 1985
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 83 (11) , 5703-5711
- https://doi.org/10.1063/1.449645
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.Keywords
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