{
  "annotation_id": "ef573997-99f1-417e-8ef1-04cfc4faa8f8",
  "date_created": "2026-03-02T18:02:41.097000Z",
  "date_modified": "2026-03-02T18:02:41.097000Z",
  "file_hash": "372d4a55afc6fd2044de2036a7949020cf27c104d17ab1f67249f29259a094db",
  "private": false,
  "record": {
    "abstract": "We analyze the eigenvalue problem of a quantum particle on the line with the\ngeneralized pointlike potential of three parameter family. It is shown that the\nenergy surface in the parameter space has a set of singularities, around which\ndifferent eigenstates are connected in the form of paired spiral stairway. An\nexamplar wave-function aholonomy is displayed where the ground state is\nadiabatically turned into the second excited state after cyclic rotation in the\nparameter space.\n  KEYWORDS: one-dimensional system, $\\delta\u0027$ potential, non-trivial topology\nin quantum mechanics, exotic wave-function aholonomy",
    "arxiv_id": "quant-ph/9803020",
    "authors": [
      "Taksu Cheon"
    ],
    "categories": [
      "quant-ph",
      "cond-mat",
      "nlin.SI",
      "nucl-th",
      "solv-int"
    ],
    "doi": "10.1016/S0375-9601(98)00725-7",
    "journal_ref": "Physics Letters A 248 (1998) 285-289",
    "title": "Double Spiral Energy Surface in One-dimensional Quantum Mechanics of   Generalized Pointlike Potentials",
    "url": "https://arxiv.org/abs/quant-ph/9803020"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f44aac16-bd86-4c91-852d-f0fed3e7685c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}