{
  "annotation_id": "3dc439fb-5899-4632-8443-acd053851454",
  "date_created": "2026-03-02T18:01:49.556000Z",
  "date_modified": "2026-03-02T18:01:49.556000Z",
  "file_hash": "c9f441b1fbfc0bf3b6b9d3d86846f778d5146226dc96a85dfca3e12822527729",
  "private": false,
  "record": {
    "abstract": "A new nonlinear Schroedinger equation is obtained explicitly from the fractal\nBrownian motion of a massive particle with a complex-valued diffusion constant.\nReal-valued energy (momentum) plane wave and soliton solutions are found in the\nfree particle case. The hydro-dynamical model analog yields another (new)\nnonlinear QM wave equation with physically meaningful soliton solutions. One\nremarkable feature of this nonlinear Schroedinger equation based on a fractal\nBrownian motion model, over all the other nonlinear QM models, is that the\nquantum-mechanical energy functional coincides with the field theory one.",
    "arxiv_id": "quant-ph/0202026",
    "authors": [
      "Carlos Castro",
      "Jorge Mahecha",
      "Boris Rodriguez"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "title": "Nonlinear QM as a fractal Brownian motion with complex diffusion   constant",
    "url": "https://arxiv.org/abs/quant-ph/0202026"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ae16318f-af02-4cb8-b37d-6afa3064fc52",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}