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Semiclassical Calculation Of Quantum-Mechanical Wave Functions For A Two-Dimensional Scattering System, Stephen Knudson, John B. Delos, B. Bloom
Semiclassical Calculation Of Quantum-Mechanical Wave Functions For A Two-Dimensional Scattering System, Stephen Knudson, John B. Delos, B. Bloom
Arts & Sciences Articles
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.