arXiv:quant-ph/0103018AbstractReferencesReviewsResources
Integral equations of scattering in one dimension
Vania E. Barlette, Marcelo M. Leite, Sadhan K. Adhikari
Published 2001-03-05Version 1
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.
Comments: 12 pages, accepted in American Journal of Physics
Journal: Am. J. Phys. 69 (2001) 1010-1013
DOI: 10.1119/1.1371011
Categories: quant-ph
Keywords: dirac delta potential, complex scattering integral equations, lippmann-schwinger integral equations, centrally-symmetric potentials, unitarity relation
Tags: journal article
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