A Remark on Formal KMS States in Deformation Quantization

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In 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.
11 pages, LaTeX2e

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Quantum Algebra, Symplectic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/76551

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9801139
 http://arxiv.org/abs/math/9801139
 Lett.Math.Phys. 45 (1998) 49-61

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arXiv