{
  "annotation_id": "b965def5-41f0-411a-afa9-bfdc8a15e5d1",
  "date_created": "2026-03-02T18:00:11.611000Z",
  "date_modified": "2026-03-02T18:00:11.611000Z",
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  "record": {
    "abstract": "We study the quantum foundations of a theory of large amplitude collective\nmotion for a Hamiltonian expressed in terms of canonical variables. In previous\nwork the separation into slow and fast (collective and non-collective)\nvariables was carried out without the explicit intervention of the Born\nOppenheimer approach. The addition of the Born Oppenheimer assumption not only\nprovides support for the results found previously in leading approximation, but\nalso facilitates an extension of the theory to include an approximate\ndescription of the fast variables and their interaction with the slow ones.\nAmong other corrections, one encounters the Berry vector and scalar potential.\nThe formalism is illustrated with the aid of some simple examples, where the\npotentials in question are actually evaluated and where the accuracy of the\nBorn Oppenheimer approximation is tested. Variational formulations of both\nHamiltonian and Lagrangian type are described for the equations of motion for\nthe slow variables.",
    "arxiv_id": "nucl-th/9303017",
    "authors": [
      "Abraham Klein",
      "Niels R. Walet"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevC.48.178",
    "journal_ref": "Phys.Rev.C48:178-191,1993",
    "title": "Quantum theory of large amplitude collective motion and the   Born-Oppenheimer method",
    "url": "https://arxiv.org/abs/nucl-th/9303017"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7fe58566-2dcd-491b-8035-4fe0e7a8bf47",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}