{
  "annotation_id": "b71738aa-2235-426a-ab76-da0042353c8d",
  "date_created": "2026-03-02T18:01:52.366000Z",
  "date_modified": "2026-03-02T18:01:52.366000Z",
  "file_hash": "2bfb02aaca2bda3b6ca5d009d1dc2cb6e32c69c02ca53053042cc1bb5c6e3c14",
  "private": false,
  "record": {
    "abstract": "It was shown in [AFS00] that there are only three types of irreducible\nunitary representations theta of sl_2. Using the Schurmann triple one can\nassociate with each theta a number of representations of the square of white\nnoise (SWN) algebra A. However, in analogy with the Boson, Fermion and\nq-deformed case, we expect that some interesting non irreducible\nrepresentations of sl_2 may result in GNS representations of KMS states\nassociated with some evolutions on A. In the present paper determine the\nstructure of the *--endomorphisms of the SWN algebra, induced by linear maps in\nthe 1--particle Hilbert algebra, we introduce the SWN analogue of the quasifree\nevolutions and find the explicit form of the KMS states associated with some of\nthem.",
    "arxiv_id": "quant-ph/0208070",
    "authors": [
      "L. Accardi",
      "G. G. Amosov",
      "U. Franz"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "KMS States on the Square of White Noise Algebra",
    "url": "https://arxiv.org/abs/quant-ph/0208070"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a07fa120-b300-4836-aa5d-b4836316f5d5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}