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Semiclassical Results in the Linear Response Theory

  • Monique Combescure
  • Didier Robert
Conference paper
Part of the Progress in Mathematics book series (PM, volume 202)

Abstract

We consider a quantum system of non-interacting fermions at temperatureTin the framework of linear-response theory. We show that semiclassical theory is an appropriate framework for describing some of their thermodynamic properties, in particular through exact expansions inh (Planck constant) of their dynamical susceptibilities. We show how the orbits of the classical motion in phase space manifest themselves in these expansions, in the regime whereT is of orderh.

Keywords

Linear Response Theory Kubo Formula Nonequilibrium Statistical Mechanic Weyl Quantization Semiclassical Expansion 
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Copyright information

© Springer Basel AG 2001

Authors and Affiliations

  • Monique Combescure
    • 1
  • Didier Robert
    • 2
  1. 1.Laboratoire de Physique ThéoriqueUnité Mixte de Recherche — CNRS — UMR N° 8627, Université de Paris XIFrance
  2. 2.Département de Mathématiques, URA CNRS 758Université de NantesNantes CedexFrance

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