KMS States on the Square of White Noise Algebra

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dc.creatorAccardi, L.
dc.creatorAmosov, G. G.
dc.creatorFranz, U.
dc.date2002-08-11
dc.date.accessioned2026-07-07T06:04:45Z
dc.date.available2026-07-07T06:04:45Z
dc.descriptionIt was shown in [AFS00] that there are only three types of irreducible unitary representations theta of sl_2. Using the Schurmann triple one can associate with each theta a number of representations of the square of white noise (SWN) algebra A. However, in analogy with the Boson, Fermion and q-deformed case, we expect that some interesting non irreducible representations of sl_2 may result in GNS representations of KMS states associated with some evolutions on A. In the present paper determine the structure of the *--endomorphisms of the SWN algebra, induced by linear maps in the 1--particle Hilbert algebra, we introduce the SWN analogue of the quasifree evolutions and find the explicit form of the KMS states associated with some of them.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0208070
dc.identifierhttp://arxiv.org/abs/quant-ph/0208070
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90413
dc.subjectQuantum Physics
dc.titleKMS States on the Square of White Noise Algebra
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