{
  "annotation_id": "f71dc935-18a0-42b7-8886-6bb0b4110391",
  "date_created": "2026-03-02T18:01:49.558000Z",
  "date_modified": "2026-03-02T18:01:49.558000Z",
  "file_hash": "b1884af4b886566b4abac3fd5b66e5f153ef96e831e9fc803f5afef19f3f803d",
  "private": false,
  "record": {
    "abstract": "The Gamow vector description of resonances is compared with the S-matrix and\nthe Green function descriptions using the example of the square barrier\npotential. By imposing different boundary conditions on the time independent\nSchrodinger equation, we obtain either eigenvectors corresponding to real\neigenvalues and the physical spectrum or eigenvectors corresponding to complex\neigenvalues (Gamow vectors) and the resonance spectrum. We show that the poles\nof the S matrix are the same as the poles of the Green function and are the\ncomplex eigenvalues of the Schrodinger equation subject to a purely outgoing\nboundary condition. The intrinsic time asymmetry of the purely outgoing\nboundary condition is discussed. Finally, we show that the probability of\ndetecting the decay within a shell around the origin of the decaying state\nfollows an exponential law if the Gamow vector (resonance) contribution to this\nprobability is the only contribution that is taken into account.",
    "arxiv_id": "quant-ph/0201091",
    "authors": [
      "R. de la Madrid",
      "M. Gadella"
    ],
    "categories": [
      "quant-ph",
      "nucl-th"
    ],
    "doi": "10.1119/1.1466817",
    "journal_ref": "Am.J.Phys.70:626-638,2002",
    "title": "A Pedestrian Introduction to Gamow Vectors",
    "url": "https://arxiv.org/abs/quant-ph/0201091"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b4d95f5a-fca8-42cc-bf62-620ffc56b95e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}