{
  "annotation_id": "b5df7f56-4894-40bc-94c6-6b859dcd894b",
  "date_created": "2026-03-02T18:02:45.027000Z",
  "date_modified": "2026-03-02T18:02:45.027000Z",
  "file_hash": "21d05bcac6dbb174df4ad0dc01081a9d06e3f22fba69a7d72f789191d875b3ad",
  "private": false,
  "record": {
    "abstract": "It is shown that the time-dependent equations (Schr\\\"odinger and Dirac) for a\nquantum system can be always derived from the time-independent equation for the\nlarger object of the system interacting with its environment, in the limit that\nthe dynamical variables of the environment can be treated semiclassically. The\ntime which describes the quantum evolution is then provided parametrically by\nthe classical evolution of the environment variables. The method used is a\ngeneralization of that known for a long time in the field of ion-atom\ncollisions, where it appears as a transition from the full quantum mechanical\n{\\it perturbed stationary states} to the {impact parameter} method in which the\nprojectile ion beam is treated classically.",
    "arxiv_id": "quant-ph/9902035",
    "authors": [
      "John S Briggs",
      "Jan M Rost"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/s100530050554",
    "title": "Time Dependence in Quantum Mechanics",
    "url": "https://arxiv.org/abs/quant-ph/9902035"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a0a2d944-bbfb-4903-9e14-6c245a44759e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}