{
  "annotation_id": "57ef31ec-ca62-4f9e-adb0-555270b73739",
  "date_created": "2026-03-02T18:00:38.508000Z",
  "date_modified": "2026-03-02T18:00:38.508000Z",
  "file_hash": "f47e1edb641a24be098f4744a24d23fff9bfe3c693a4df3d37f8b6cde5985dc3",
  "private": false,
  "record": {
    "abstract": "A numerical scheme for solving the time-evolution of wave functions under the\ntime dependent Kohn-Sham equation has been developed. Since the effective\nHamiltonian depends on the wave functions, the wave functions and the effective\nHamiltonian should evolve consistently with each other. For this purpose, a\nself-consistent loop is required at every time-step for solving the\ntime-evolution numerically, which is computationally expensive. However, in\nthis paper, we develop a different approach expressing a formal solution of the\nTD-KS equation, and prove that it is possible to solve the TD-KS equation\nefficiently and accurately by means of a simple numerical scheme without the\nuse of any self-consistent loops.",
    "arxiv_id": "physics/0112015",
    "authors": [
      "Naoki Watanabe",
      "Masaru Tsukada"
    ],
    "categories": [
      "physics.comp-ph",
      "cond-mat.mtrl-sci",
      "physics.atm-clus",
      "physics.chem-ph"
    ],
    "doi": "10.1103/PhysRevE.65.036705",
    "journal_ref": "Phys. Rev. E. Vol. 65, No 3, 036705 (2002).",
    "title": "Efficient method for simulating quantum electron dynamics under the time   dependent Kohn-Sham equation",
    "url": "https://arxiv.org/abs/physics/0112015"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "68a5ce31-1963-4578-ad99-4d4cf771d81c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}