{
  "annotation_id": "37ed0553-3b2a-404d-8f89-cc8f2d8c2bff",
  "date_created": "2026-03-02T18:01:46.178000Z",
  "date_modified": "2026-03-02T18:01:46.178000Z",
  "file_hash": "bc63f400f2248e37a06174b028bc254998148da3fa824d464f66cc99eddba168",
  "private": false,
  "record": {
    "abstract": "In this Letter the bound states of (2+1) Dirac equation with the\ncylindrically symmetric $\\delta (r-r_{0})$-potential are discussed. It is\nsurprisingly found that the relation between the radial functions at two sides\nof $r_{0}$ can be established by an SO(2) transformation. We obtain a\ntranscendental equation for calculating the energy of the bound state from the\nmatching condition in the configuration space. The condition for existence of\nbound states is determined by the Sturm-Liouville theorem.",
    "arxiv_id": "quant-ph/0110158",
    "authors": [
      "Shi-Hai Dong",
      "Zhong-Qi Ma"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "The (2+1) Dirac Equations with $\\delta$ Potential",
    "url": "https://arxiv.org/abs/quant-ph/0110158"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0baac1cb-7a09-4978-bf1c-37aba5393328",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}