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On the semiclassical regularity of thermal equilibria

Mathematical Physics 2024-05-29 v1 Analysis of PDEs Functional Analysis math.MP Quantum Physics

Abstract

We study the regularity properties of fermionic equilibrium states at finite positive temperature and show that they satisfy certain semiclassical bounds. As a corollary, we identify explicitly a class of positive temperature states satisfying the regularity assumptions of [J.J. Chong, L. Lafleche, C. Saffirio: arXiv:2103.10946 (2021)].

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Cite

@article{arxiv.2208.07911,
  title  = {On the semiclassical regularity of thermal equilibria},
  author = {Jacky J. Chong and Laurent Lafleche and Chiara Saffirio},
  journal= {arXiv preprint arXiv:2208.07911},
  year   = {2024}
}

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14 pages