{
  "annotation_id": "9a30eb23-3032-4abd-8e50-2c441f5889ae",
  "date_created": "2026-03-02T18:00:35.587000Z",
  "date_modified": "2026-03-02T18:00:35.587000Z",
  "file_hash": "e54dc39c4647fd3b948e320b0f5f5d75bf62071aa2a82463f4f9eb69fa27a7ea",
  "private": false,
  "record": {
    "abstract": "First, we show that, if there are no bound states, we can express the q.m.\nthird cluster - involving 3 and fewer particles in Statistical Mechanics - as a\nformula involving adiabatic eigenphase shifts. This is for Boltzmann\nstatistics.\n  From this q.m. formulation, in the case of purely repulsive forces, we\nrecover, as h goes to 0, the classical expressions for the cluster.\n  We then discuss difficulties which arise in the presence of 2-body bound\nstates and present a tentative formula involving eigenphase shifts and the 2\nand 3 body bound state energies. We emphasize that important difficulties have\nnot been resolved.",
    "arxiv_id": "physics/0105074",
    "authors": [
      "Sigurd Yves Larsen"
    ],
    "categories": [
      "physics.chem-ph",
      "physics.gen-ph"
    ],
    "title": "Hyperspherical Adiabatic Formalism of the Boltzmann Third Virial",
    "url": "https://arxiv.org/abs/physics/0105074"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "19d4cf50-d7d5-4c03-9256-ce68e63eac91",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}