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

A. Sedrakian·G. Roepke
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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.

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A. Sedrakian, G. Roepke. 1998-04-23. A quantum kinetic equation for Fermi-systems including three-body correlations. https://doi.org/10.1006/aphy.1998.5809

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