English

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

Nuclear Theory 2009-10-30 v3

Abstract

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.

Keywords

Cite

@article{arxiv.nucl-th/9712074,
  title  = {A quantum kinetic equation for Fermi-systems including three-body correlations},
  author = {A. Sedrakian and G. Roepke},
  journal= {arXiv preprint arXiv:nucl-th/9712074},
  year   = {2009}
}

Comments

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

R2 v1 2026-07-22T18:43:32.921Z