{
  "annotation_id": "3cacd77c-feff-49c5-a105-c69e47a7ce27",
  "date_created": "2026-03-02T18:02:45.194000Z",
  "date_modified": "2026-03-02T18:02:45.194000Z",
  "file_hash": "4a411a261745ada42fa6b153c0d9822fd59ef98029c9c2b9ad0ead1b177ca354",
  "private": false,
  "record": {
    "abstract": "It is shown that if a potential in a nonrelativistic system of Fermi\nparticles has a sufficiently strong singularity, anomalies (nonzero values of\nquantities formally equal to zero) will probably appear. For different types of\nsingularities (in paticular, for the Coulomb potential), anomalies associated\nwith the energy and total number of particles in the system are calculated.\nThese anomalies may be beneficial in deriving a semiclassical description of\nelectron- nuclear systems.",
    "arxiv_id": "quant-ph/9903092",
    "authors": [
      "D. A. Kirzhnits",
      "G. V. Shpatakovskaya"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Theor.Math.Phys. 109 (1996) 1342-1344; Teor.Mat.Fiz. 109N1 (1996)\n  124-127",
    "title": "Anomalies in nonrelativistic quantum mechanics",
    "url": "https://arxiv.org/abs/quant-ph/9903092"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c1605a20-e285-4194-ae04-45fb363169aa",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}