We present a new method to derive transport equations for non-relativistic quantum manyparticle systems. This method uses an equation-of-motion technique and is applicable to interacting fermions and (or) bosons in arbitrary time-dependent external fields. Using a cluster expansion of the r-particle
A Quantum Kinetic Equation for Fermi Systems Including Three-Body Correlations
✍ Scribed by Armen Sedrakian; Gerd Röpke
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 542 KB
- Volume
- 266
- Category
- Article
- ISSN
- 0003-4916
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✦ Synopsis
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 temperatureÂdensity 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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