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A Quantum Kinetic Equation for Fermi Systems Including Three-Body Correlations

1997/12/31 by Armen Sedrakian, A. Sedrakian, G. Röpke +1 · 1 citation
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #nucl-th

paper · pdf · doi:10.1006/aphy.1998.5809

published as Annals Phys. 266 (1998) 524-550 · 25 pages, Revtex, 2 figures. Final version to be published in Annals of Physics (NY), with minor changes

arxiv created 1998/04/23 · openalex publication_date 1998/07/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A single-time quantum transport equation, which includes effects beyond the quasiparticle approximation, is derived for Fermi systems in the framework of nonequilibrium 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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