{
  "annotation_id": "dffc9f57-13f0-470d-8c36-c6a4b6284922",
  "date_created": "2026-03-02T18:00:31.967000Z",
  "date_modified": "2026-03-02T18:00:31.967000Z",
  "file_hash": "54fe9b9a5de8a8a2d88ec68bf8fa13e69f1471f15262a7ed662e8dee46c28884",
  "private": false,
  "record": {
    "abstract": "A fast and stable numerical method is formulated to compute the time\nevolution of a wave function in a magnetic field by solving the time-dependent\nSchroedinger equation. This computational method is based on the finite element\nmethod in real space to improved accuracy without any increase of computational\ncost. This method is also based on Suzuki\u0027s exponential product theory to\nafford an efficient way to manage the TD-Schroedinger equation with a vector\npotential. Applying this method to some simple electron dynamics, we have\nconfirmed its efficiency and accuracy.",
    "arxiv_id": "physics/0011069",
    "authors": [
      "Naoki Watanabe",
      "Masaru Tsukada"
    ],
    "categories": [
      "physics.comp-ph",
      "physics.atm-clus",
      "physics.chem-ph"
    ],
    "doi": "10.1143/JPSJ.69.2962",
    "journal_ref": "Journal of Physical Society of Japan, Vol.69, No.9, 2962, (2000)",
    "title": "Finite element approach for simulating quantum electron dynamics in a   magnetic field",
    "url": "https://arxiv.org/abs/physics/0011069"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "906a5954-0ec1-46cc-ba72-7d09e8063de1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}