{
  "annotation_id": "48623516-3d39-4bc0-a897-8ecf2babc234",
  "date_created": "2026-03-02T18:01:55.390000Z",
  "date_modified": "2026-03-02T18:01:55.390000Z",
  "file_hash": "a30396a74259a8796e8d0c322bfda8f5d6351021fb98d5b663997a0bbfe70acc",
  "private": false,
  "record": {
    "abstract": "A useful and universal formula for the expectation value of the radial\noperator in the presence of the Aharonov-Bohm flux and the Coulomb Field is\nestablished. We find that the expectation value $\u003c r^{\\lambda}\u003e$ $(-\\infty \\leq\n\\lambda \\leq \\infty)$ is greatly affected due to the non-local effect of the\nmagnetic flux although the Aharonov-Bohm flux does not have any dynamical\nsignificance in classical mechanics. In particular, the quantum fluctuation\nincreases in the presence of the magnetic flux due to the Aharonov-Bohm effect.\nIn addition, the Virial theory in quantum mechanics is also constructed for the\nspherically symmetric system under the Aharonov-Bohm effect.",
    "arxiv_id": "quant-ph/0210106",
    "authors": [
      "W. F. Kao",
      "Y. M. Kao",
      "D. H. Lin"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Universal Formula for the Expectation Value of the Radial Operator under   the Aharonov-Bohm Flux and the Coulomb Field",
    "url": "https://arxiv.org/abs/quant-ph/0210106"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bea5dce1-e8ea-48a5-9f5b-251efd51ce32",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}