{
  "annotation_id": "645589db-eaaa-46d8-8bd2-4b23f66d5eef",
  "date_created": "2026-03-02T18:02:16.416000Z",
  "date_modified": "2026-03-02T18:02:16.416000Z",
  "file_hash": "02574af7d1b20646498b0be96687e37ddd95a055b404ed4412489d5148ea7b2c",
  "private": false,
  "record": {
    "abstract": "We extend the notion of Dirac oscillator in two dimensions, to construct a\nset of potentials. These potentials becomes exactly and quasi-exactly solvable\npotentials of non-relativistic quantum mechanics when they are transformed into\na Schr\\\"{o}dinger-like equation. For the exactly solvable potentials,\neigenvalues are calculated and eigenfunctions are given by confluent\nhypergeometric functions. It is shown that, our formulation also leads to the\nstudy of those potentials in the framework of the supersymmetric quantum\nmechanics.",
    "arxiv_id": "quant-ph/0504178",
    "authors": [
      "Ramazan Koc",
      "Mehmet Koca"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1142/S021773230501710X",
    "journal_ref": "Mod. Phys. Lett. A, Vol. 20, No. 12 (2005) pp. 911-921",
    "title": "Spectrum of the Relativistic Particles in Various Potentials",
    "url": "https://arxiv.org/abs/quant-ph/0504178"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5693ba10-764c-4e0d-8b64-db836c18ab97",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}