{
  "annotation_id": "92298a07-b0fd-4b80-863d-1a291b511cd8",
  "date_created": "2026-03-02T18:01:42.431000Z",
  "date_modified": "2026-03-02T18:01:42.431000Z",
  "file_hash": "5d2950a5d079e423038f5fb76a40a8173d463387063b8292430174518864b1b9",
  "private": false,
  "record": {
    "abstract": "A model of interacting one--dimensional fermions confined to a harmonic trap\nis proposed. The model is treated analytically to all orders of the coupling\nconstant by a method analogous to that used for the Luttinger model. As a first\napplication, the particle density is evaluated and the behavior of Friedel\noscillations under the influence of interactions is studied. It is found that\nattractive interactions tend to suppress the Friedel oscillations while strong\nrepulsive interactions enhance the Friedel oscillations significantly. The\nmomentum distribution function and the relation of the model interaction to\nrealistic pair interactions are also discussed.",
    "arxiv_id": "quant-ph/0012125",
    "authors": [
      "W. Wonneberger"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.63.063607",
    "title": "Luttinger model approach to interacting one-dimensional fermions in a   harmonic trap",
    "url": "https://arxiv.org/abs/quant-ph/0012125"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1a41e2f2-dea7-4c25-bad6-750039b0b09c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}