{
  "annotation_id": "17e57e4b-d296-4188-a4a1-0231ceead415",
  "date_created": "2026-03-02T18:01:11.459000Z",
  "date_modified": "2026-03-02T18:01:11.459000Z",
  "file_hash": "eda99939e3dc6865494d8f54052d54a8546f90a58f7dca8f766e07deeb53d09e",
  "private": false,
  "record": {
    "abstract": "The eigenfunctions of nested wells with incommensurate boundary geometry, in\nboth hydrodynamic shallow water regime and quantum cases, are systematically\nand exhaustively studied in this letter. The boundary arrangement of the nested\nwells consist of polygonal ones, square or hexagonal, with a concentric\nimmersed similar but rotated well or plateau. A rich taxonomy of wave patterns,\nsuch as quasicrystalline states, their crystalline rational approximants and\nsome other exotic but well known tilings, is found in these mimicked\nexperiments. To our best knowledge, these hydrodynamic rational approximants\nare presented here for the first time in a hydrodynamic-quantum framework. The\ncorresponding statistical nature of the energy level spacing distribution\nreflects this taxonomy by changing the spectral types.",
    "arxiv_id": "physics/0607006",
    "authors": [
      "A. Baz\u00e1n",
      "M. Torres",
      "G. Chiappe",
      "E. Louis",
      "J. A. Miralles",
      "J. A. Verg\u00e9s",
      "Gerardo G. Naumis",
      "J. L. Arag\u00f3n"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "doi": "10.1103/PhysRevLett.97.124501",
    "journal_ref": "Physical Review Letters, 97 (2006) 124501",
    "title": "Quasicrystalline and rational approximant wave patterns in hydrodynamic   and quantum nested wells",
    "url": "https://arxiv.org/abs/physics/0607006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0a6e19c9-0928-4ee1-a3e3-10cfe9ea9c99",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}