{
  "annotation_id": "91455dc5-b94d-48ec-84d5-64a51d2c1733",
  "date_created": "2026-03-02T18:02:41.539000Z",
  "date_modified": "2026-03-02T18:02:41.539000Z",
  "file_hash": "7330bea9a45db5cf668317b7d15bc0633b5fcf8b82c5d97c9358cdd7670391d1",
  "private": false,
  "record": {
    "abstract": "The one particle sector of the simplest one dimensional quantum lattice gas\nautomaton has been observed to simulate both the (relativistic) Dirac and\n(nonrelativistic) Schroedinger equations, in different continuum limits. By\nanalyzing the discrete analogues of plane waves in this sector we find\nconserved quantities corresponding to energy and momentum. We show that the\nKlein paradox obtains so that in some regimes the model must be considered to\nbe relativistic and the negative energy modes interpreted as positive energy\nmodes of antiparticles. With a formally similar approach--the Bethe ansatz--we\nfind the evolution eigenfunctions in the two particle sector of the quantum\nlattice gas automaton and conclude by discussing consequences of these\ncalculations and their extension to more particles, additional velocities, and\nhigher dimensions.",
    "arxiv_id": "quant-ph/9703027",
    "authors": [
      "David A. Meyer"
    ],
    "categories": [
      "quant-ph",
      "comp-gas",
      "cond-mat.stat-mech",
      "nlin.CG"
    ],
    "doi": "10.1142/S0129183197000618",
    "title": "Quantum lattice gases and their invariants",
    "url": "https://arxiv.org/abs/quant-ph/9703027"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fb95ea63-7c25-4d5f-9442-47d1886375d5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}