{
  "annotation_id": "97652ce6-08e8-4a4b-964a-247189239051",
  "date_created": "2026-03-02T18:02:48.181000Z",
  "date_modified": "2026-03-02T18:02:48.181000Z",
  "file_hash": "c0aa00ce558e2153da4a0737d93d42f538a4ef4326d10a969d00b49a794c9499",
  "private": false,
  "record": {
    "abstract": "We discuss Staruszkiewicz\u0027s nonlinear modification of the Schr\\\"{o}dinger\nequation. It is pointed out that the expression for the energy functional for\nthis modification is not unique as the field-theoretical definition of energy\ndoes not coincide with the quantum-mechanical one. As a result, this\nmodification can be formulated in three different ways depending on which\nphysically relevant properties one aims to preserve. Some nonstationary\none-dimensional solutions for suitably chosen potentials, including a KdV\nsoliton, are presented, and the question of finding stationary solutions is\nalso discussed. The analysis of physical and mathematical features of the\nmodification leads to the conclusion that the Staruszkiewicz modification is a\nvery subtle modification of the fundamental equation of quantum mechanics.",
    "arxiv_id": "quant-ph/9912006",
    "authors": [
      "Waldemar Puszkarz"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "On the Staruszkiewicz Modification of the Schroedinger Equation",
    "url": "https://arxiv.org/abs/quant-ph/9912006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ac239efd-3f6e-4505-a46d-78599dfc03f2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}