Journal of Statistical Physics

, Volume 14, Issue 4, pp 359–380 | Cite as

Quantum statistical hierarchy equation in nonequilibrium systems

  • Nobuhiko Mishima
  • Tomio Yamakoshi Petrosky
  • Miwae Yamazaki
Articles

Abstract

An extension is given for the Fourier expansion method with the contraction technique, which was introduced by Balescu for quantum statistical systems. This is attained by introducing a diagrammatic method with a concept of moving contraction. Then the hierarchy equation for the Contracted Fourier coefficient of the Wigner distribution function is obtained. As an application, a generalized master equation involvingn-body collision effects and quantum statistical effects is also derived.

Key words

Wigner distribution function Fourier expansion method quantum statistical hierarchy equation diagrammatic method movable and unmovable contractions 

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References

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Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • Nobuhiko Mishima
    • 1
  • Tomio Yamakoshi Petrosky
    • 2
  • Miwae Yamazaki
    • 3
  1. 1.Department of PhysicsTokyo Gakugei UniversityTokyoJapan
  2. 2.Department of PhysicsScience University of TokyoTokyoJapan
  3. 3.Department of PhysicsSaitama UniversitySaitamaJapan

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