{
  "annotation_id": "f1769a5e-03f4-408e-a273-4101883c071a",
  "date_created": "2026-03-02T18:02:45.079000Z",
  "date_modified": "2026-03-02T18:02:45.079000Z",
  "file_hash": "1569c16aade88385a2748a8441cc7c5cdc7ddaaec8f54ba3081c760b66ac3064",
  "private": false,
  "record": {
    "abstract": "The Schroedinger equation with scalar and vector potentials is the continuum\nlimit of any coherent hopping process (where position eigenstates superpose\nwith neighbouring eigenstates after a time step) whose hopping amplitudes are\nhomogeneous in quadratic order of the inverse lattice spacing, inhomogeneous in\nfirst order, and satisfying a summability condition with respect to\nhigher-than-next neighbours.",
    "arxiv_id": "quant-ph/9811048",
    "authors": [
      "Lutz Polley"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Schroedinger equation as the universal continuum limit of   nonrelativistic coherent hopping on a cubic spatial lattice",
    "url": "https://arxiv.org/abs/quant-ph/9811048"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "00503d86-7430-407f-bd85-8adcd34a2a7e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}