{
  "annotation_id": "10248230-1a16-4dbc-aaba-f212f800d5e2",
  "date_created": "2026-03-02T18:02:40.987000Z",
  "date_modified": "2026-03-02T18:02:40.987000Z",
  "file_hash": "a97b26bd3e683ae81ed646677b8eafc4ac49ec6e5e640b68bf7f979bdcaf0af3",
  "private": false,
  "record": {
    "abstract": "We propose a nonlinear modification of the Schr\\\"{o}dinger equation that\npossesses the main properties of this equation such as the Galilean invariance,\nthe weak separability of composite systems, and the homogeneity in the wave\nfunction. The modification is derived from the relativistic relation between\nthe energy and momentum of free particle and, as such, it is the best\nrelativistic extension of the Schr\\\"{o}dinger equation that preserves the\nproperties in question. The only change it effectively entails in the\nSchr\\\"{o}dinger equation involves the conserved probability current. It is\npointed out that it partially retains the linear superposition principle and\nthat it can be used to model the process of decoherence.",
    "arxiv_id": "quant-ph/9710008",
    "authors": [
      "Waldemar Puszkarz"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Relativistically Extended Modification of the Schroedinger Equation",
    "url": "https://arxiv.org/abs/quant-ph/9710008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "98ab762a-3f41-4c86-838d-9a844a8c92b3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}