{
  "annotation_id": "20ad298c-9f3b-4c1e-9269-d44be9f55e96",
  "date_created": "2026-03-02T18:02:37.372000Z",
  "date_modified": "2026-03-02T18:02:37.372000Z",
  "file_hash": "7a6dae5987d7a9d80f1956b967c0eef07d3a96f63f41dbcb5df677ba336f3448",
  "private": false,
  "record": {
    "abstract": "We discuss the Hamiltonian for a nonrelativistic electron with spin in the\npresence of an abelian magnetic monopole and note that it is not self-adjoint\nin the lowest two angular momentum modes. We then use von Neumann\u0027s theory of\nself-adjoint extensions to construct a self-adjoint operator with the same\nfunctional form. In general, this operator will have eigenstates in which the\nlowest two angular momentum modes mix, thereby removing conservation of angular\nmomentum. However, consistency with the solutions of the Dirac equation limits\nthe possibilities such that conservation of angular momentum is restored.\nBecause the same effect occurs for a spinless particle with a sufficiently\nattractive inverse square potential, we also study this system. We use this\nsimpler Hamiltonian to compare the eigenfunctions corresponding to a particular\nself-adjoint extension with the eigenfunctions satisfying a boundary condition\nconsistent with probability conservation.",
    "arxiv_id": "quant-ph/9602013",
    "authors": [
      "Edwin R. Karat",
      "Michael B. Schulz"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1006/aphy.1996.5638",
    "journal_ref": "Annals Phys. 254 (1997) 11-24",
    "title": "Self-Adjoint Extensions of the Pauli Equation in the Presence of a   Magnetic Monopole",
    "url": "https://arxiv.org/abs/quant-ph/9602013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ba427d73-3bb7-41d1-985d-493bca7c31f8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}