Abstract
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.
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Wolschin, G. (1982). Mean-field theory and random two-body collisions. In: Goeke, K., Reinhard, P.G. (eds) Time-Dependent Hartree-Fock and Beyond. Lecture Notes in Physics, vol 171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-11950-7_12
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DOI: https://doi.org/10.1007/3-540-11950-7_12
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