{
  "annotation_id": "4cd7d79a-42e1-4a79-92b9-c27a87f5c2bf",
  "date_created": "2026-03-02T18:01:52.925000Z",
  "date_modified": "2026-03-02T18:01:52.925000Z",
  "file_hash": "ed4d08ce3332a513970ac2b1acd41d6ded9ca57541355bb1821234e355f3331a",
  "private": false,
  "record": {
    "abstract": "We study the possibility of supersymmetry (SUSY) in quantum mechanics in one\ndimension under the presence of a point singularity. The system considered is\nthe free particle on a line R or on the interval [-l, l] where the point\nsingularity lies at x = 0. In one dimension, the singularity is known to admit\na U(2) family of different connection conditions which include as a special\ncase the familiar one that arises under the Dirac delta-potential. Similarly,\neach of the walls at x = l and x = -l admits a U(1) family of boundary\nconditions including the Dirichlet and the Neumann boundary conditions. Under\nthese general connection/boundary conditions, the system is shown to possess an\nN = 1 or N = 2 SUSY for various choices of the singularity and the walls, and\nthe SUSY is found to be `good\u0027 or `broken\u0027 depending on the choices made. We\nuse the supercharge which allows for a constant shift in the energy, and argue\nthat if the system is supersymmetric then the supercharge is self-adjoint on\nstates that respect the connection/boundary conditions specified by the\nsingularity.",
    "arxiv_id": "quant-ph/0210084",
    "authors": [
      "Takashi Uchino",
      "Izumi Tsutsui"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1016/S0550-3213(03)00352-3",
    "journal_ref": "Nucl.Phys.B662:447-460,2003",
    "title": "Supersymmetric Quantum Mechanics with a Point Singularity",
    "url": "https://arxiv.org/abs/quant-ph/0210084"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a8412d3f-a100-4a6b-ba03-e661aa33fd1e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}