{
  "annotation_id": "08da09a7-6962-4d51-a306-7c5303471fb6",
  "date_created": "2026-03-02T18:01:46.123000Z",
  "date_modified": "2026-03-02T18:01:46.123000Z",
  "file_hash": "2efb40540a967d73f88ff5d4ffae8381f888b9c6ee35cda4331e2e5d16408936",
  "private": false,
  "record": {
    "abstract": "The most general admissible boundary conditions are derived for an idealised\nAharonov-Bohm flux intersecting the plane at the origin on the background of a\nhomogeneous magnetic field. A standard technique based on self-adjoint\nextensions yields a four-parameter family of boundary conditions; other two\nparameters of the model are the Aharonov-Bohm flux and the homogeneous magnetic\nfield. The generalised boundary conditions may be regarded as a combination of\nthe Aharonov-Bohm effect with a point interaction. Spectral properties of the\nderived Hamiltonians are studied in detail.",
    "arxiv_id": "quant-ph/0111050",
    "authors": [
      "Pavel Exner",
      "Pavel Stovicek",
      "Petr Vytras"
    ],
    "categories": [
      "quant-ph",
      "cond-mat",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1063/1.1463712",
    "journal_ref": "J. Math. Phys. 43 (2002), 2151-2168",
    "title": "Generalised boundary conditions for the Aharonov-Bohm effect combined   with a homogeneous magnetic field",
    "url": "https://arxiv.org/abs/quant-ph/0111050"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "76eaa4d2-8229-4286-95d8-7f34250c56d9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}