{
  "annotation_id": "3f62036d-eb92-4d49-bc19-84e7c2f82bd8",
  "date_created": "2026-03-02T18:02:09.880000Z",
  "date_modified": "2026-03-02T18:02:09.880000Z",
  "file_hash": "e0583cd13eb4567c4e0be0a501c2ea5d56dc06c0769c6a12a17a5e44a2e9f2de",
  "private": false,
  "record": {
    "abstract": "The stationary nonlinear Schroedinger equation, or Gross-Pitaevskii equation,\nis studied for the cases of a single delta potential and a delta-shell\npotential. These model systems allow analytical solutions, and thus provide\nuseful insight into the features of stationary bound, scattering and resonance\nstates of the nonlinear Schroedinger equation. For the single delta potential,\nthe influence of the potential strength and the nonlinearity is studied as well\nas the transition from bound to scattering states. Furthermore, the properties\nof resonance states for a repulsive delta-shell potential are discussed.",
    "arxiv_id": "quant-ph/0409199",
    "authors": [
      "D. Witthaut",
      "S. Mossmann",
      "H. J. Korsch"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/38/8/013",
    "journal_ref": "J. Phys.A 38 (2005) 1777",
    "title": "Bound and resonance states of the nonlinear Schroedinger equation in   simple model systems",
    "url": "https://arxiv.org/abs/quant-ph/0409199"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bb04d820-a705-47e9-9b7c-97e5a98a68e1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}