{
  "annotation_id": "a0086a71-8b80-4b1f-91ca-5c82309fc937",
  "date_created": "2026-03-02T18:00:56.882000Z",
  "date_modified": "2026-03-02T18:00:56.882000Z",
  "file_hash": "37ffb428c4b7965e0f021e44d791448092d2893a21fed3bc6b4e99f0da9ca867",
  "private": false,
  "record": {
    "abstract": "A subtle procedure to confine hydrodynamic modes on the free surface of a\nfluid is presented here. The experiment consists of a square vessel with an\nimmersed square central well vibrating vertically so that the surface waves\ngenerated by the meniscus at the vessel boundary interfere with the bound\nstates of the well. This is a classical analogy of a quantum well where some\nfundamental phenomena, such as bonding of states and interference between free\nwaves and bound states, can be visualized and controlled. The above mentioned\ninterference leads to a novel hydrodynamic transition from quasiperiodic to\nperiodic patterns. Tight binding numerical calculations are performed here to\nshow that our results could be transferred to design quantum confinements\nexhibiting electronic quasiperiodic surface states and their rational\napproximants for the first time.",
    "arxiv_id": "physics/0501091",
    "authors": [
      "M. Torres",
      "J. P. Adrados",
      "P. Cobo",
      "A. Fernandez",
      "C. Guerrero",
      "G. Chiappe",
      "E. Louis",
      "J. A. Miralles",
      "J. A. Verges",
      "J. L. Aragon"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "title": "Confinement of hydrodynamic modes on a free surface and their quantum   analogs",
    "url": "https://arxiv.org/abs/physics/0501091"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "321c6786-1551-446e-a18a-bb213e0b7fa6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}