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Integral equations of scattering in one dimension

Vania E. Barlette·Marcelo M. Leite·Sadhan K. Adhikari
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Abstract

A self-contained discussion of integral equations of scattering is presented in the case of centrally-symmetric potentials in one dimension, which will facilitate the understanding of more complex scattering integral equations in two and three dimensions. The present discussion illustrates in a simple fashion the concept of partial-wave decomposition, Green's function, Lippmann-Schwinger integral equations of scattering for wave function and transition operator, optical theorem and unitarity relation. We illustrate the present approach with a Dirac delta potential.

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Vania E. Barlette, Marcelo M. Leite, Sadhan K. Adhikari. 2001-03-05. Integral equations of scattering in one dimension. https://doi.org/10.1119/1.1371011

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