{
  "annotation_id": "0544030e-768a-4c86-b947-1618b66e7c68",
  "date_created": "2026-03-02T18:02:10.113000Z",
  "date_modified": "2026-03-02T18:02:10.113000Z",
  "file_hash": "76bf9c872c475d9d86a3e05139c88a14dc6c9cf5abea2e369a2ea17e13db60df",
  "private": false,
  "record": {
    "abstract": "Any {\\it exact} eigenstate with a definite momentum of a many-body\nHamiltonian can be written as an integral over a {\\it symmetry-broken} function\n$\\Phi$. For two particles, we solve the problem {\\it exactly} for all energy\nlevels and any inter-particle interaction. Especially for the ground-state,\n$\\Phi$ is given by the simple Hartree-Fock/Hartree ansatz for fermions/bosons.\nImplications for several and many particles as well as a numerical example are\nprovided.",
    "arxiv_id": "quant-ph/0406095",
    "authors": [
      "Ofir E. Alon",
      "Alexej I. Streltsov",
      "Lorenz S. Cederbaum"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.other"
    ],
    "doi": "10.1103/PhysRevB.71.125113",
    "journal_ref": "Phys. Rev. B 71, 125113 (2005)",
    "title": "On interacting fermions and bosons with definite total momentum",
    "url": "https://arxiv.org/abs/quant-ph/0406095"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6682970f-fc72-4252-8d22-fb28dde5d70c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}