{
  "annotation_id": "db160c97-8f5d-4d2e-a606-95bffa4b1b42",
  "date_created": "2026-03-02T18:01:59.534000Z",
  "date_modified": "2026-03-02T18:01:59.534000Z",
  "file_hash": "8102371e3493bf27433099b2d66dbd7eca949cc5cf724310d215678f0c9bfa7f",
  "private": false,
  "record": {
    "abstract": "It is shown that the Schr\\\"{o}dinger equation for a system of interacting\nparticles whose Compton wavelengths are of the same order of magnitude as the\nsystem size is contradictory and is not strictly nonrelativistic, because it is\nbased on the implicit assumption that the velocity of propagation of\ninteractions is finite. In the framework of the model of the noncommutative\noperators of coordinates and momenta of different particles, the equation for a\nwave function which has no above-mentioned drawbacks is deduced. The\nsignificant differences from solutions of the nonrelativistic Schr\\\"{o}dinger\nequation for large values of the interaction constant are found, and the\ncomparison of analogous results for hydrogenlike atoms with experimental data\nis carried out.",
    "arxiv_id": "quant-ph/0307195",
    "authors": [
      "M. V. Kuzmenko"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Nonrelativistic system of interacting particles in the model of the   noncommutative operators of coordinates and momenta of different particles",
    "url": "https://arxiv.org/abs/quant-ph/0307195"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f9f72163-5ab1-4dec-b4e4-ce89b34d1701",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}