{
  "annotation_id": "77a10d18-ffee-4cc5-8059-4cb35e8b7e4d",
  "date_created": "2026-03-02T18:02:51.396000Z",
  "date_modified": "2026-03-02T18:02:51.396000Z",
  "file_hash": "1af7db9e8a78eb1ca0ea3cf87b48914951fb6eda6164001c7bcf146140befce1",
  "private": false,
  "record": {
    "abstract": "The classical version of the three wave interaction models the creation and\ndestruction of waves; the quantized version models the creation and destruction\nof particles. The quantum three wave interaction is described and the Bethe\nAnsatz for the eigenfunctions is given in closed form. The Bethe equations are\nderived in a rigorous fashion and are shown to have a thermodynamic limit. The\nDirac sea of negative energy states is obtained as the infinite density limit.\nFinite particle/hole excitations are determined and the asymptotic relation of\nenergy and momentum is obtained. The Yang-Yang functional for the relative free\nenergy of finite density excitations is constructed and is shown to be convex\nand bounded below. The equations of thermal equilibrium are obtained.",
    "arxiv_id": "solv-int/9802010",
    "authors": [
      "R. Beals",
      "D. H. Sattinger",
      "E. Williams"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1063/1.532306",
    "title": "A Dirac Sea and thermodynamic equilibrium for the quantized three-wave   interaction",
    "url": "https://arxiv.org/abs/solv-int/9802010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8f6007e8-d574-485b-b4bd-83944db5cce2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}