{
  "annotation_id": "5f25b17f-0c26-4d85-8b9e-6087c4f26c93",
  "date_created": "2026-03-02T18:02:48.303000Z",
  "date_modified": "2026-03-02T18:02:48.303000Z",
  "file_hash": "284716d533f826b05b43e61e7ecebb1737c0ac743ce2672da41330b0781aad64",
  "private": false,
  "record": {
    "abstract": "We discuss quantum dynamics in multi-dimensional non-linear systems. It is\nwell-known that wave functions are localized in a kicked rotor model. However,\ncoupling with other degrees of freedom breaks the localization. In order to\nclarify the difference, we describe the quantum dynamics by deterministic rigid\ntrajectories, which are accompanied with the de Broglie-Bohm interpretation of\nquantum mechanics, instead of wave functions. A bundle of quantum trajectories\nare repulsive through quantum potential and flow never to go across each other.\nWe show that, according to the degrees of freedom, this same property appears\ndifferently.",
    "arxiv_id": "quant-ph/9911002",
    "authors": [
      "Hiroto Kubotani"
    ],
    "categories": [
      "quant-ph",
      "gr-qc"
    ],
    "title": "Quantum Trajectory in Multi-Dimensional Non-Linear System",
    "url": "https://arxiv.org/abs/quant-ph/9911002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "37c7ec27-50bc-4c7b-8aec-12d85f97d2d3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}