{
  "annotation_id": "29c3e7f7-e095-4dea-b3ac-205704ee214f",
  "date_created": "2026-03-02T18:02:24.140000Z",
  "date_modified": "2026-03-02T18:02:24.140000Z",
  "file_hash": "27b8161a5ace0f191c2e9102d888e5b449419e76863cd3dd39a7b55aa886c551",
  "private": false,
  "record": {
    "abstract": "We discuss a remarkable property of an iterative algorithm for eigenvalue\nproblems recently advanced by Waxman that constitutes a clear advantage over\nother iterative procedures. In quantum mechanics, as well as in other fields,\nit is often necessary to deal with operators exhibiting both a continuum and a\ndiscrete spectrum. For this kind of operators, the problem of identifying\nspurious eigenpairs which appear in iterative algorithms like the Lanczos\nalgorithm does not occur in the algorithm proposed by Waxman.",
    "arxiv_id": "quant-ph/0602135",
    "authors": [
      "R. A. Andrew",
      "H. G. Miller",
      "A. R. Plastino"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/39/20/L01",
    "title": "On the Absence of Spurious Eigenstates in an Iterative Algorithm   Proposed By Waxman",
    "url": "https://arxiv.org/abs/quant-ph/0602135"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "443670d5-d7a9-494d-ab31-7df304db9e1d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}