{
  "annotation_id": "860c0562-9b0f-4fcc-8473-8ecd3b7de86e",
  "date_created": "2026-03-02T18:02:40.577000Z",
  "date_modified": "2026-03-02T18:02:40.577000Z",
  "file_hash": "d4f982290e2da55f9ffa8e065031ce1341efa7b4d40d3c0e45ffb4dbaa1beb71",
  "private": false,
  "record": {
    "abstract": "We present an extension of Staruszkiewicz\u0027s modification of the\nSchr\\\"{o}dinger equation which preserves its main and unique feature: in the\nnatural system of units the modification terms do not contain any dimensional\nconstants. The extension, similarly as the original, is formulated in a\nthree-dimensional space and derives from a Galilean invariant Lagrangian. It is\npointed out that this model of nonlinearity violates the separability of\ncompound systems in the fundamentalist approach to this issue. In its general\nform, this modification does not admit stationary states for all potentials for\nwhich such states exist in linear quantum mechanics. This is, however, possible\nfor a suitable choice of its free parameters. It is only in the original\nStaruszkiewicz modification that the energy of these states remains unchanged,\nwhich marks the uniqueness of this variant of the modification.",
    "arxiv_id": "quant-ph/9710009",
    "authors": [
      "Waldemar Puszkarz"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Extension of the Staruszkiewicz Modification of the Schroedinger   Equation",
    "url": "https://arxiv.org/abs/quant-ph/9710009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7d2978c3-467f-47bd-957c-aa1828a348b6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}