Mean-field theory and random two-body collisions

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


A microscopic theory to derive the collision term extending time-dependent mean-field theories for finite systems is discussed. It is based on a random-matrix model for the residual interaction in a diabatic basis of single-particle states. The structure of the energy conserving function in a finite system with discrete s.p. levels is investigated. The effect of statistical two-body collisions on the equilibration of the occupation numbers is shown analytically in a schematic model. A numerical calculation demonstrates the influence of a collision term on TDHF results.


Wigner Function Occupation Number Finite System Collision Term Residual Interaction 
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Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • Georg Wolschin
    • 1
  1. 1.Max-Planck-Institut für KernphysikHeidelbergGermany

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