{
  "annotation_id": "02168f6a-3dc4-4389-8a3a-453a6835e760",
  "date_created": "2026-03-02T18:02:20.534000Z",
  "date_modified": "2026-03-02T18:02:20.534000Z",
  "file_hash": "7b79c95e06071d06bf2c35a3f9a69337bd1c0d4b812559d9a3cefd35e84624ad",
  "private": false,
  "record": {
    "abstract": "An integral relation is established between the Green functions corresponding\nto two Hamiltonians which are supersymmetric (SUSY) partners and in general may\npossess both discrete and continuous spectra. It is shown that when the\ncontinuous spectrum is present the trace of the difference of the Green\nfunctions for SUSY partners is a finite quantity which may or may not be equal\nto zero despite the divergence of the traces of each Green function. Our\nfindings are illustrated by using the free particle example considered both on\nthe whole real line and on a half line.",
    "arxiv_id": "quant-ph/0507160",
    "authors": [
      "B F Samsonov",
      "C V Sukumar",
      "A M Pupasov"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/38/34/009",
    "journal_ref": "J. Phys. A: Math. Gen. 38 (2005) 7557-7565",
    "title": "SUSY transformation of the Green function and a trace formula",
    "url": "https://arxiv.org/abs/quant-ph/0507160"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "25a0ba07-024f-489c-9686-112647c89b83",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}