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29 March 2024
 
  » arxiv » quant-ph/0103018

 Article overview


Integral equations of scattering in one dimension
Vania E. Barlette ; Marcelo M. Leite ; Sadhan K. Adhikari ;
Date 5 Mar 2001
Journal Am. J. Phys. 69 (2001) 1010-1013
Subject quant-ph
AbstractA 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.
Source arXiv, quant-ph/0103018
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