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On the foundation of equilibrium quantum statistical mechanics

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arxiv cond-mat/9801063 v1 pith:C2KBWEKD submitted 1998-01-08 cond-mat.stat-mech

On the foundation of equilibrium quantum statistical mechanics

Giulio Casati (International Center for the Study of Dynamical Systems , Como , Italy Istituto Nazionale di Fisica della Materia , INFN , sezione di Milano , Italy) This is my paper
classification cond-mat.stat-mech
keywords quantumstatisticalclassicalequilibriummechanicschaoticconditionconditions
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We discuss the condition for the validity of equilibrium quantum statistical mechanics in the light of recent developments in the understanding of classical and quantum chaotic motion. In particular, the ergodicity parameter is shown to provide the conditions under which quantum statistical distributions can be derived from the quantum dynamics of a classical ergodic Hamiltonian system.

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