{
  "annotation_id": "255205fa-f4ab-4376-8b07-4cafedbf9a9b",
  "date_created": "2026-03-02T18:01:21.359000Z",
  "date_modified": "2026-03-02T18:01:21.359000Z",
  "file_hash": "6e1ac8ca4f2198c3497dcf0ee730b091b1c5f1ee1bd61f96fa2bef0ae515c07d",
  "private": false,
  "record": {
    "abstract": "Energies and spatial observables for the $^1\\Sigma_g$ state of the hydrogen\nmolecule in magnetic fields parallel to the proton-proton axis are calculated\nwith a guided random walk Feynman-Kac algorithm. We demonstrate that the\naccuracy of the results and the simplicity of the method may prove it a viable\nalternative to large basis set expansions for small molecules in applied\nfields.",
    "arxiv_id": "physics/9810030",
    "authors": [
      "Mario Encinosa"
    ],
    "categories": [
      "physics.atm-clus",
      "physics.atom-ph"
    ],
    "doi": "10.1103/PhysRevA.59.2521",
    "title": "Guided random walk calculation of energies and $\u003c\\sq {r^2} \u003e$ values of   the $^1\\Sigma_g$ state of H_2 in a magnetic field",
    "url": "https://arxiv.org/abs/physics/9810030"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "41abed11-7743-4abc-9a4a-a68be38d5ce2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}