{
  "annotation_id": "4542b090-7d92-4795-9c6c-d145bb22d732",
  "date_created": "2026-03-02T18:02:41.591000Z",
  "date_modified": "2026-03-02T18:02:41.591000Z",
  "file_hash": "6de0e7204f9115862c9c877068bf5a45ac275816628ccbd69fd9e685ddb38e90",
  "private": false,
  "record": {
    "abstract": "We present a simple recipe to construct the Green\u0027s function associated with\na Hamiltonian of the form H=H_0+V, where H_0 is a Hamiltonian for which the\nassociated Green\u0027s function is known and V is a delta-function potential. We\napply this result to the case in which H_0 is the Hamiltonian of a free\nparticle in D dimensions. Field theoretic concepts such as regularization,\nrenormalization, dimensional transmutation and triviality are introduced\nnaturally in order to deal with an infinity which shows up in the formal\nexpression of the Green\u0027s function for D\u003e1.",
    "arxiv_id": "quant-ph/9801033",
    "authors": [
      "R. M. Cavalcanti"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Rev.Bras.Ens.Fis. 21 (1999) 336",
    "title": "Exact Green\u0027s functions for delta-function potentials and   renormalization in quantum mechanics",
    "url": "https://arxiv.org/abs/quant-ph/9801033"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dd372c2c-0b71-42d6-8a5b-bfdac00bc97a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}