{
  "annotation_id": "7c7002a0-b6c9-48ec-8c93-78bbbc0d5b86",
  "date_created": "2026-03-02T18:01:38.867000Z",
  "date_modified": "2026-03-02T18:01:38.867000Z",
  "file_hash": "95fbdeb8a1c5156bba302c3bbceec73e58475dcdba698e16a5a7186e058f3305",
  "private": false,
  "record": {
    "abstract": "A unified form for real and complex wave functions is proposed for the\nstationary case, and the quantum Hamilton-Jacobi equation is derived in the\nthree-dimensional space. The difficulties which appear in Bohm\u0027s theory like\nthe vanishing value of the conjugate momentum in the real wave function case\nare surmounted. In one dimension, a new form of the general solution of the\nquantum Hamilton-Jacobi equation leading straightforwardly to the general form\nof the Schr\\\"odinger wave function is proposed. For unbound states, it is shown\nthat the invariance of the reduced action under a dilatation plus a rotation of\nthe wave function in the complex space implies that microstates do not appear.\nFor bound states, it is shown that some freedom subsists and gives rise to the\nmanifestation of microstates not detected by the Schr\\\"odinger wave function.",
    "arxiv_id": "quant-ph/0004044",
    "authors": [
      "A. Bouda"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "journal_ref": "Found.Phys.Lett. 14 (2001) 17",
    "title": "Probability Current and Trajectory Representation",
    "url": "https://arxiv.org/abs/quant-ph/0004044"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "628aa7ce-a2c8-46a0-a922-64ff91a4d151",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}