{
  "id": "quant-ph/0103018",
  "version": "v1",
  "published": "2001-03-05T16:03:57.000Z",
  "updated": "2001-03-05T16:03:57.000Z",
  "title": "Integral equations of scattering in one dimension",
  "authors": [
    "Vania E. Barlette",
    "Marcelo M. Leite",
    "Sadhan K. Adhikari"
  ],
  "comment": "12 pages, accepted in American Journal of Physics",
  "journal": "Am. J. Phys. 69 (2001) 1010-1013",
  "doi": "10.1119/1.1371011",
  "categories": [
    "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-03-05T16:03:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "01.50.-i",
      "03.50.-z",
      "02.30.Rz",
      "02.60.Nm"
    ],
    "keywords": [
      "dirac delta potential",
      "complex scattering integral equations",
      "lippmann-schwinger integral equations",
      "centrally-symmetric potentials",
      "unitarity relation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "American Journal of Physics",
      "year": 2001,
      "month": "Sep",
      "volume": 69,
      "number": 9,
      "pages": 1010
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001AmJPh..69.1010B"
    }
  }
}