Journal of Statistical Physics

, Volume 21, Issue 4, pp 393–413 | Cite as

Theory of irreversible processes in nonequilibrium quantum systems. II. Cluster expansions with contraction for homogenous systems

  • Tomio Yamakoshi Petrosky


On the basis of a method developed in a previous paper, a systematic rule for obtaining a symmetrized collision superoperator of the Van Hove generalized master equation including an arbitrary number of particles is given. In the formalism, the quantum statistical effect is taken into account through the use of contractions (internal and external contractions) on the basis of the cluster expansion. As an application of this general rule, a symmetrized collision superoperator including the effect of three-particle collisions is obtained.

Key words

Many-particle collision superoperator cluster expansion internal and external contractions 


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Copyright information

© Plenum Publishing Corporation 1979

Authors and Affiliations

  • Tomio Yamakoshi Petrosky
    • 1
  1. 1.Department of PhysicsScience University of TokyoTokyoJapan

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