A Remark on Formal KMS States in Deformation Quantization

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dc.creatorBordemann, Martin
dc.creatorRoemer, Hartmann
dc.creatorWaldmann, Stefan
dc.date1998-01-30
dc.date.accessioned2026-07-07T05:23:43Z
dc.date.available2026-07-07T05:23:43Z
dc.descriptionIn the framework of deformation quantization we define formal KMS states on the deformed algebra of power series of functions with compact support in phase space as C[[λ]]-linear functionals obeying a formal variant of the usual KMS condition known in the theory of C^*-algebras. We show that for each temperature KMS states always exist and are up to a normalization equal to the trace of the argument multiplied by a formal analogue of the usual Boltzmann factor, a certain formal star exponential.
dc.description11 pages, LaTeX2e
dc.identifierhttps://arxiv.org/abs/math/9801139
dc.identifierhttp://arxiv.org/abs/math/9801139
dc.identifierLett.Math.Phys. 45 (1998) 49-61
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76551
dc.subjectQuantum Algebra
dc.subjectSymplectic Geometry
dc.titleA Remark on Formal KMS States in Deformation Quantization
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