{
  "annotation_id": "fdc7ee64-774e-4398-ba49-01d6e7c594d6",
  "date_created": "2026-03-02T18:00:29.263000Z",
  "date_modified": "2026-03-02T18:00:29.263000Z",
  "file_hash": "f45c0679c592c611b129a01a3f294595b7639695f9c257419d4b03ab3c5b7f26",
  "private": false,
  "record": {
    "abstract": "A new 1-D discrete nonlinear Schr\\\"{o}dinger (NLS) Hamiltonian is introduced\nwhich includes the integrable Ablowitz-Ladik system as a limit. The symmetry\nproperties of the system are studied. The relationship between intrinsic\nlocalized states and the soliton of the Ablowitz-Ladik NLS is discussed. It is\npointed out that a staggered localized state can be viewed as a particle of a\n{\\em negative} effective mass. It is shown that staggered localized states can\nexist in the discrete dark NLS. The motion of localized states and\nPeierls-Nabarro pinning are studied.",
    "arxiv_id": "patt-sol/9305003",
    "authors": [
      "David Cai",
      "A. R. Bishop",
      "Niels Gr\u00f8nbech-Jensen"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevLett.72.591",
    "title": "Localized States in Discrete Nonlinear Schr\\\"{o}dinger Equations",
    "url": "https://arxiv.org/abs/patt-sol/9305003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "21c9cf95-6147-405c-9d27-a9d51d50ee00",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}