Resonances and analyticity of scattering wave function for square-well-type potentials

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Abstract
In this paper we extend our previous analysis of the scattering of wave packets in one dimension to the case of the square‐well potential. The analytic properties of the general scattering solution are emphasized thereby making the analysis useful as introductory material for a more sophisticated S‐matrix treatment. The square‐well model is particularly interesting because of its application to the deuteron problem. Resonance scattering, barrier penetration, time delay, and line shape are discussed at the level of the first‐year graduate student.

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