{
  "annotation_id": "7eca7325-b7bc-4ce7-b3a1-fb5ee5c1ce47",
  "date_created": "2026-03-02T18:02:30.342000Z",
  "date_modified": "2026-03-02T18:02:30.342000Z",
  "file_hash": "1b318e6a930ccc400098571a40f6637a05d5bafe6f5193714ffa719a5946de0d",
  "private": false,
  "record": {
    "abstract": "In this paper we study a new family of sinc--like functions, defined on an\ninterval of finite width. These functions, which we call ``little sinc\u0027\u0027, are\northogonal and share many of the properties of the sinc functions. We show that\nthe little sinc functions supplemented with a variational approach enable one\nto obtain accurate results for a variety of problems. We apply them to the\ninterpolation of functions on finite domain and to the solution of the\nSchr\\\"odinger equation, and compare the performance of present approach with\nothers.",
    "arxiv_id": "quant-ph/0608069",
    "authors": [
      "Paolo Amore",
      "Mayra Cervantes",
      "Francisco M. Fern\u00e1ndez"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1751-8113/40/43/013",
    "title": "Variational collocation on finite intervals",
    "url": "https://arxiv.org/abs/quant-ph/0608069"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cd90fefc-2ee1-48fa-bcd3-936ed6f388c7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}