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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 | 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. | Source: | arXiv, quant-ph/0103018 | Services: | Forum | Review | PDF | Favorites |
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