A Remark on Formal KMS States in Deformation Quantization
Quantum Algebra
2007-05-23 v1 Symplectic Geometry
Abstract
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[[\lambda]]-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.
Cite
@article{arxiv.math/9801139,
title = {A Remark on Formal KMS States in Deformation Quantization},
author = {Martin Bordemann and Hartmann Roemer and Stefan Waldmann},
journal= {arXiv preprint arXiv:math/9801139},
year = {2007}
}
Comments
11 pages, LaTeX2e