{
  "annotation_id": "207bd490-a626-42cc-b6ab-318caf3335c5",
  "date_created": "2026-03-02T18:01:52.417000Z",
  "date_modified": "2026-03-02T18:01:52.417000Z",
  "file_hash": "ebe304fc9ec2eaad4aa46bca5f89432b11305d9304f0900aa2a69d79542fe624",
  "private": false,
  "record": {
    "abstract": "A multi-channel scattering problem is studied from a point of view of\nintegral equations system. The system appears while natural one-particle wave\nfunction equation of the electron under action of a potential with\nnon-intersecting ranges is considered.\n  Spherical functions basis expansion of the potentials introduces partial\namplitudes and corresponding radial functions. The approach is generalized to\nmulti-channel case by a matrix formulation in which a state vector component is\nassociated with a scattering channel.\n  The zero-range potentials naturally enter the scheme when the class of\noperators of multiplication is widen to distributions. %Analog of multipolar\nexpansion is treated. Spin variables, o Oscillations and rotations are\nincorporated into the scheme.",
    "arxiv_id": "quant-ph/0209063",
    "authors": [
      "Sergey Leble",
      "Sergey Yalunin"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0969-806X(03)00277-9",
    "title": "Generalized Zero Range Potentials and Multi-Channel Electron-Molecule   Scattering",
    "url": "https://arxiv.org/abs/quant-ph/0209063"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dc489a21-11d0-47af-a72b-b938f5c82c7f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}