Quantum statistical approach to extended mean-field theory

III. Collisions Terms
Part of the Lecture Notes in Physics book series (LNP, volume 171)


The time-dependent Hartree-Fock theory is generalized in order to include two-body collisions. Using the projection operator techniques of statistical mechanics a transport equation is derived for the uncorrelated part of the full A-particle density matrix. This leads to an equation of motion for the one-particle density matrix which includes a collision term. The collision term is considered in the weak-coupling limit and a master equation is obtained for the occupation probabilities of the single-particle levels.


Density Matrix Occupation Probability Collision Term Residual Interaction Uncorrelated Component 


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Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • S. Ayik
    • 1
  1. 1.Physik-DepartmentTU MünchenGarching

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