{
  "annotation_id": "1aec452b-1e04-4dda-a90b-e30209c6806e",
  "date_created": "2026-02-17T05:53:12.527000Z",
  "date_modified": "2026-02-17T05:53:12.527000Z",
  "file_hash": "9410636227048c27a86b2cc230581e4447fb6a898f971863f6af5e8b1e2593cf",
  "private": false,
  "record": {
    "abstract": "We provide a new formulation of Time-Dependent Density Functional Theory (TDDFT) based on the geometric structure of the set of states constrained to have a fixed density. Orbital-free TDDFT is formulated using a hydrodynamics equation involving a new universal density-to-current functional map. In the corresponding Kohn--Sham equation, the density is reproduced using a non-local operator. Numerical simulations for one-dimensional soft-Coulomb systems are provided.",
    "arxiv_id": "2601.07724",
    "authors": [
      "\u00c9ric Canc\u00e8s",
      "Th\u00e9o Duez",
      "Jari van Gog",
      "Asbj\u00f8rn B\u00e6kgaard Lauritsen",
      "Mathieu Lewin",
      "Julien Toulouse"
    ],
    "categories": [
      "cond-mat.mtrl-sci",
      "math-ph",
      "math.MP",
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Geometric Time-Dependent Density Functional Theory",
    "url": "https://arxiv.org/abs/2601.07724",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a1085070-caf0-4e51-930b-73e0b6d8cc6b",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}