dorsal/arxiv
View SchemaIntegral equations of scattering in one dimension
| Authors | Vania E. Barlette, Marcelo M. Leite, Sadhan K. Adhikari |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0103018 |
| URL | https://arxiv.org/abs/quant-ph/0103018 |
| DOI | 10.1119/1.1371011 |
| Journal | Am. J. Phys. 69 (2001) 1010-1013 |
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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"abstract": "A self-contained discussion of integral equations of scattering is presented\nin the case of centrally-symmetric potentials in one dimension, which will\nfacilitate the understanding of more complex scattering integral equations in\ntwo and three dimensions. The present discussion illustrates in a simple\nfashion the concept of partial-wave decomposition, Green\u0027s function,\nLippmann-Schwinger integral equations of scattering for wave function and\ntransition operator, optical theorem and unitarity relation. We illustrate the\npresent approach with a Dirac delta potential.",
"arxiv_id": "quant-ph/0103018",
"authors": [
"Vania E. Barlette",
"Marcelo M. Leite",
"Sadhan K. Adhikari"
],
"categories": [
"quant-ph"
],
"doi": "10.1119/1.1371011",
"journal_ref": "Am. J. Phys. 69 (2001) 1010-1013",
"title": "Integral equations of scattering in one dimension",
"url": "https://arxiv.org/abs/quant-ph/0103018"
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