{
  "annotation_id": "d7981a05-a9b2-4dbc-9ae4-3f6829f3a4b6",
  "date_created": "2026-03-02T18:02:48.312000Z",
  "date_modified": "2026-03-02T18:02:48.312000Z",
  "file_hash": "d0269be5ad8eec65204d9a401876b68ac6ad86b484513dec1c7717618bc9602e",
  "private": false,
  "record": {
    "abstract": "We study a two-dimensional charged particle interacting with a magnetic\nfield, in general non-homogeneous, perpendicular to the plane, a confining\npotential, and a point interaction. If the latter moves adiabatically along a\nloop the state corresponding to an isolated eigenvalue acquires a Berry phase.\nWe derive an expression for it and evaluate it in several examples such as a\nhomogeneous field, a magnetic whisker, a particle confined at a ring or in\nquantum dots, a parabolic and a zero-range one. We also discuss the behavior of\nthe lowest Landau level in this setting obtaining an explicit example of the\nWilczek-Zee phase for an infinitely degenerated eigenvalue.",
    "arxiv_id": "quant-ph/9911060",
    "authors": [
      "Pavel Exner",
      "Vladimir A. Geyler"
    ],
    "categories": [
      "quant-ph",
      "cond-mat",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1016/S0393-0440(00)00020-6",
    "journal_ref": "J. Geom. Phys. 36 (2000), 178-197",
    "title": "Berry phase in magnetic systems with point perturbations",
    "url": "https://arxiv.org/abs/quant-ph/9911060"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2758fde0-bc40-4296-8b48-bdb7297cee6d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}