{
  "annotation_id": "458747bd-1089-4510-8676-e242ed24422e",
  "date_created": "2026-03-02T18:00:11.724000Z",
  "date_modified": "2026-03-02T18:00:11.724000Z",
  "file_hash": "0ff107754d81c08637b943367e2037d6f60f44d7ad4193b49048457fa2036c4f",
  "private": false,
  "record": {
    "abstract": "The present paper generalizes preceding papers of the author and opens a\ncycle of works concerning the general posing and solution in analytic form of\nthe quantum-mechanical inverse scattering problem (for a given partial channel)\nin a nontraditional setting: the scattering wave function in the momentum\nrepresentation is recovered immediately from the scattering data. The solution\nwe find for the problem in question is given by a family of phase-equivalent\nwave functions with explicitly controlled functional-analytic arbitrariness.\nThis arbitrariness corresponds to the arbitrariness in the choice of\nphase-equivalent nonlocal potentials and causes the necessary to include some\nadditional concepts of quantum measurement theory to a complete description of\nquantum-mechanical systems. The mathematical apparatus of the approach thus\ndeveloped is illustrated by the example of describing the nucleon-nucleon\ninteraction in uncoupled partial channels.",
    "arxiv_id": "nucl-th/0702053",
    "authors": [
      "V. M. Muzafarov"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1134/S1061920807010062",
    "journal_ref": "Russian J. Math Phys. 14:1 (2007) 96-109",
    "title": "Two-Body Interaction. I. Inverse Scattering Problem, Nonlocal   Potentials, and a Conception of Quantum Measurement Theory",
    "url": "https://arxiv.org/abs/nucl-th/0702053"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "02ac09b4-99fb-4a96-bb4b-a25f9ce217e4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}