{
  "annotation_id": "af1b0072-5a4f-4cb5-a3ba-07072753a5b1",
  "date_created": "2026-03-02T18:01:38.860000Z",
  "date_modified": "2026-03-02T18:01:38.860000Z",
  "file_hash": "988b5826aaabc9fbd2df32dddc89477518ebe777968c94501b2777d1310bcde0",
  "private": false,
  "record": {
    "abstract": "A nonrelativistic equation for the system of two interacting particles within\nthe framework of a model with noncommuting operators of coordinates and momenta\nof different particles is proposed, and a self-consistent system of equations\nfor the wave function of every quantum state is deduced. Solutions for the\nlowest states of a hydrogenlike atom are found, and the comparison with\nanalogous solutions of the Klein-Gordon equation for the relativistic spinless\nproblem is performed. In the case where the size of a two-particle system and\nthe Compton wavelengths of particles forming it are of the same order, the\nessential differences with solutions of the Schr\\\"{o}dinger nonrelativistic\nequation are revealed.",
    "arxiv_id": "quant-ph/0009036",
    "authors": [
      "M. V. Kuzmenko"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Two-particle model with noncommuting operators of coordinates and   momenta",
    "url": "https://arxiv.org/abs/quant-ph/0009036"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4c476a86-c9cb-4fbb-8ae9-f4e616241768",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}