{
  "annotation_id": "d2c6809c-0488-4b20-aa2c-a1b3ad5a0cc2",
  "date_created": "2026-03-02T18:01:38.964000Z",
  "date_modified": "2026-03-02T18:01:38.964000Z",
  "file_hash": "f1cfc72ecc45c43b6d58b0051bda35622764f82f0868652d200974600543381f",
  "private": false,
  "record": {
    "abstract": "The interpretation proposed in quant-ph/9812011 is extended to the general\ncase of a non-relativistic particle moving in an arbitrary external potential.\nIt is shown that, even in this general case, \"particle\" solutions exist which\ndo not spread out with time, and remain well localized around their center of\nmass; it is postulated that these are the only solutions which represent\nindividual physical particles. As a consequence two basic principles of\nstandard QM, namely the superposition principle and the wave-function collapse,\nare shown to have no ontological meaning. Three simple applications of our\napproach are then examined: the free particle, the linear harmonic oscillator\nand the delta barrier potential; the corresponding \"particle\" solutions are\nexplicitly shown. Finally, it is argued that the persisting confusion about the\nmeaning of the wave-function (does it represent an individual particle or a\nstatistical ensemble?) calls for a non-linear extension of the Schroedinger\nequation.",
    "arxiv_id": "quant-ph/0007119",
    "authors": [
      "A. Raiteri"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "A realistic interpretation of the density matrix II: The   non-relativistic case",
    "url": "https://arxiv.org/abs/quant-ph/0007119"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7ab834a4-13be-4baa-b407-e83c4ab3059a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}