{
  "annotation_id": "660efc6f-0b65-4ebf-8570-680c87a0baee",
  "date_created": "2026-03-02T18:02:07.055000Z",
  "date_modified": "2026-03-02T18:02:07.055000Z",
  "file_hash": "9519608923f06309aeb9ecb4fb2ad86a65c16e14bc2c27444c417694aa315f56",
  "private": false,
  "record": {
    "abstract": "The Hamiltonian for a particle constrained to move on the surface of a curved\nnanotube is derived using the methods of differential forms. A two-dimensional\nGram-Schmidt orthonormalization procedure is employed to calculate basis\nfunctions for determining the eigenvalues and eigenstates of a tubular arc (a\nnanotube in the shape of a hyperbolic cosine) with several hundred scattering\ncenters. The curvature of the tube is shown to induce bound states that are\ndependent on the curvature parameters and bend location of the tube.",
    "arxiv_id": "quant-ph/0406074",
    "authors": [
      "Lonnie Mott",
      "Mario Encinosa",
      "Babak Etemadi"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.physe.2004.08.108",
    "title": "A numerical study of the spectrum and eigenfunctions on a tubular arc",
    "url": "https://arxiv.org/abs/quant-ph/0406074"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "735b3a96-35a9-4f65-ad4a-8355aa7764f7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}