{
  "annotation_id": "e6b23c69-3047-4e1d-af44-15bb506d82bc",
  "date_created": "2026-03-02T18:02:10.235000Z",
  "date_modified": "2026-03-02T18:02:10.235000Z",
  "file_hash": "4cea76265fdf6a7debd1504839f9e237d9a26945512fe1113021c2a9da54632b",
  "private": false,
  "record": {
    "abstract": "The curvature potential arising from confining a particle initially in\nthree-dimensional space onto a curved surface is normally derived in the hard\nconstraint $q \\to 0$ limit, with $q$ the degree of freedom normal to the\nsurface. In this work the hard constraint is relaxed, and eigenvalues and wave\nfunctions are numerically determined for a particle confined to a thin layer in\nthe neighborhood of a toroidal surface. The hard constraint and finite layer\n(or soft constraint) quantities are comparable, but both differ markedly from\nthose of the corresponding two dimensional system, indicating that the\ncurvature potential continues to influence the dynamics when the particle is\nconfined to a finite layer. This effect is potentially of consequence to the\nmodelling of curved nanostructures.",
    "arxiv_id": "quant-ph/0409141",
    "authors": [
      "M. Encinosa",
      "L. Mott",
      "B. Etemadi"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1238/Physica.Regular.072a00013",
    "title": "Wave functions in the neighborhood of a toroidal surface; hard vs. soft   constraint",
    "url": "https://arxiv.org/abs/quant-ph/0409141"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "74b869dc-6df4-454a-b1aa-72b47f00135c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}