{
  "annotation_id": "232d2b36-904c-439e-9889-ba11188a11ca",
  "date_created": "2026-03-02T18:01:49.555000Z",
  "date_modified": "2026-03-02T18:01:49.555000Z",
  "file_hash": "2ed4479a879b79c33e6d458f36497b86ca670d4eddd2354661a97c694594aab7",
  "private": false,
  "record": {
    "abstract": "We discuss correspondence between the predictions of quantum theories for\nrotation angle formulated in infinite and finite dimensional Hilbert spaces,\ntaking as example, the calculation of matrix elements of phase-angular momentum\ncommutator. A new derivation of the matrix elements is presented in infinite\nspace, making use of a unitary transformation that maps from the state space of\nperiodic functions to non-periodic functions, over which the spectrum of\nangular momentum operator is in general, fractional. The approach can be\napplied to finite dimensional Hilbert space also, for which identical matrix\nelements are obtained.",
    "arxiv_id": "quant-ph/0201090",
    "authors": [
      "Ramandeep S. Johal"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "On matrix elements of phase-angular momentum commutator in Hilbert space   of arbitrary dimensions",
    "url": "https://arxiv.org/abs/quant-ph/0201090"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e51a2364-32e2-4020-9a9c-25631c51ff32",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}