{
  "annotation_id": "592153d2-e24f-4b28-ae0e-fc9d1c25df7d",
  "date_created": "2026-03-02T18:01:00.868000Z",
  "date_modified": "2026-03-02T18:01:00.868000Z",
  "file_hash": "7129767c912efec26943f71af371d0255fb35696fe0c064bdfb5e394686c6014",
  "private": false,
  "record": {
    "abstract": "Hidden symmetry in Coulomb interaction is one of the mysterious problems of\nmodern physics. Additional conserved quantities associated with extra symmetry\ngovern wide variety of physics problems, from planetary motion till fine and\nhyperfine structures of atomic spectra. In this paper we present a simple\nderivation of hidden symmetry operator in relativistic quantum mechanics for\nthe Dirac equation in the Coulomb field. We established that this operator may\nbe reduced to the one introduced by Johnson and Lippmann. It is worthwhile to\nnotice that this operator was discussed in literature very rarely and so is not\nknown well among physicists and was omitted even in the recent textbooks on\nrelativistic quantum mechanics and/or quantum electrodynamics.",
    "arxiv_id": "physics/0508122",
    "authors": [
      "Tamari T. Khachidze",
      "Anzor A. Khelashvili"
    ],
    "categories": [
      "physics.ed-ph"
    ],
    "doi": "10.1119/1.2178846",
    "journal_ref": "Am. J. Phys. 74 (2006) 628",
    "title": "Teaching the hidden symmetry of the Kepler problem in relativistic   quantum mechanics - from Pauli to Dirac electron",
    "url": "https://arxiv.org/abs/physics/0508122"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7bdb0e6b-9a4a-4087-9c16-2737e5377ac0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}