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American Journal of Physics

Remark on the time delay of particles being scattered from a square-well-type potential

Detlef Kamke

Published Mar 1, 1985• 2 citations
Publisher
DOI
10.1119/1.14139

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A formalism to calculate the time delay experienced by a particle undergoing scattering is presented. The formalism is a natural extension of Wigner’s delay time to wave packets which do not exhibit a well defined angular momentum. The delay depends only on the partial wave phase shifts characterizing the scattering event. The formalism is tested by applying it to the 3D square well. The results are shown to agree with the known properties of resonant scattering as deduced from a study of the poles of the scattering matrix in the complex energy plane.