A quantum kinetic equation for Fermi-systems including three-body correlations

Details A quantum kinetic equation for Fermi-systems including three-body correlations A quantum kinetic equation for Fermi-systems including three-body correlations

1997-12-22

arxiv.org/abs/nucl-th/9712074v3

Annals Phys. 266 (1998) 524-550

Physics

Nuclear Physics

Nuclear Theory

25 pages, Revtex, 2 figures. Final version to be published in Annals of Physics (NY), with minor changes

Scientific paper

10.1006/aphy.1998.5809

A single-time quantum transport equation, which includes effects beyond the quasiparticle approximation, is derived for Fermi-systems in the framework of non-equilibrium real-time Green's functions theory. Ternary correlations are incorporated in the kinetic description via a cluster expansion for the self-energies (e.g., the transport vertex and the width) truncated at the level of three-body scattering amplitudes. A finite temperature/density formulation of the three-body problem is given. Corresponding three-body equations reduce to the well-known Faddeev equations in the vacuum limit. In equilibrium the equation of state contains virial corrections proportional to the third quantum virial coefficient.

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