{
  "annotation_id": "3f554a07-2d8f-487c-ad8e-968ae56a5143",
  "date_created": "2026-03-02T18:01:18.199000Z",
  "date_modified": "2026-03-02T18:01:18.199000Z",
  "file_hash": "4320a421d799ce7a8d0c89685e53e71d41f324b86d30fd6f8a388a80f842e352",
  "private": false,
  "record": {
    "abstract": "The theme of doing quantum mechanics on all abelian groups goes back to\nSchwinger and Weyl. If the group is a vector space of finite dimension over a\nnon-archimedean locally compact division ring, it is of interest to examine the\nstructure of dynamical systems defined by Hamiltonians analogous to those\nencountered over the field of real numbers. In this letter a path integral\nformula for the imaginary time propagators of these Hamiltonians is derived.",
    "arxiv_id": "physics/9702025",
    "authors": [
      "V. S. Varadarajan"
    ],
    "categories": [
      "math-ph",
      "math.MP"
    ],
    "journal_ref": "Lett.Math.Phys. 39 (1997) 97-106",
    "title": "Path integrals for a class of p-adic Schr\"odinger equations",
    "url": "https://arxiv.org/abs/physics/9702025"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9527dbcc-6229-4397-8a55-b9e89853df58",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}