Integral equations of scattering in one dimension
Quantum Physics
2009-11-07 v1
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.
Cite
@article{arxiv.quant-ph/0103018,
title = {Integral equations of scattering in one dimension},
author = {Vania E. Barlette and Marcelo M. Leite and Sadhan K. Adhikari},
journal= {arXiv preprint arXiv:quant-ph/0103018},
year = {2009}
}
Comments
12 pages, accepted in American Journal of Physics