{
  "annotation_id": "014d3c3a-f741-4fe3-8ce2-530da0eecf69",
  "date_created": "2026-03-02T18:01:42.317000Z",
  "date_modified": "2026-03-02T18:01:42.317000Z",
  "file_hash": "0d5d1b1b98707b973ce272cad64daa3639603791ee720df5acd81d749dca8cd5",
  "private": false,
  "record": {
    "abstract": "The Floydian trajectory method of quantum mechanics and the appearance of\nmicrostates of the Schr\\\"{o}dinger equation are reviewed and contrasted with\nthe Bohm interpretation of quantum mechanics. The kinematic equation of\nFloydian trajectories is analysed in detail and a new definition of the\nvariational derivative of kinetic energy with respect to total energy is\nproposed for which Floydian trajectories have an explicit time dependence with\na frequency equal to the beat frequency between adjacent pairs of energy\neigenstates in the case of bound systems. In the case of unbound systems,\nFloydian and Bohmian trajectories are found to be related by a local\ntransformation of time which is determined by the quantum potential.",
    "arxiv_id": "quant-ph/0102102",
    "authors": [
      "M. R. Brown"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "title": "Floydian trajectories for stationary systems: a modification for bound   states",
    "url": "https://arxiv.org/abs/quant-ph/0102102"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f7e0295e-0949-42fc-8f47-317f2de7cedb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}