{
  "annotation_id": "702a3946-47be-4e78-bc0d-f1981d3ad5a0",
  "date_created": "2026-03-02T18:01:45.897000Z",
  "date_modified": "2026-03-02T18:01:45.897000Z",
  "file_hash": "9108488e3d030da30c17aaa75038a9bf66eac531ae4e2cb1bb3fbf95c1aa54c2",
  "private": false,
  "record": {
    "abstract": "A new kind of deformed calculus (the D-deformed calculus) that takes place in\nfractional-dimensional spaces is presented. The D-deformed calculus is shown to\nbe an appropriate tool for treating fractional-dimensional systems in a simple\nway and quite analogous to their corresponding one-dimensional partners. Two\nsimple systems, the free particle and the harmonic oscillator in fractional-\ndimensional spaces are reconsidered into the framework of the D-deformed\nquantum mechanics. Confined states in a D-deformed quantum well are studied.\nD-deformed coherent states are also found.",
    "arxiv_id": "quant-ph/0107062",
    "authors": [
      "A. Matos-Abiague"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/34/49/321",
    "journal_ref": "J. Phys. A: Math. Gen. 34, 11059 (2001)",
    "title": "Deformation of quantum mechanics in fractional-dimensional space",
    "url": "https://arxiv.org/abs/quant-ph/0107062"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "eab14b51-66b9-4a32-a37e-b3276fdab601",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}