Balzer K., Bonitz M. Nonequilibrium Green's Functions Approach to Inhomogeneous Systems

Springer-Verlag Berlin Heidelberg, 2013. — 130 p. — (Lecture Notes in Physics 867). — ISBN: 978-3-642-35082-5, 978-3-642-35081-8.This research monograph provides a pedagogical and self-contained introduction to non-equilibrium quantum particle dynamics for inhomogeneous systems, up to and including a survey of recent breakthroughs pioneered by the authors and other groups.
The theoretical approach is based on real-time Green’s functions (Keldysh Green’s functions), directly solving the two-time Kadanoff-Baym equations (KBE).
This field has seen a rapid development over the last decade, with new applications emerging in plasma physics, semiconductor optics and transport, nuclear matter and high-energy physics.
This text will be a valuable starting point and reference work for graduate students and researchers interested in the quantum dynamics of inhomogeneous systems.Quantum Many-Particle Systems out of Equilibrium.
Nonequilibrium Green’s Functions.
Representations of the Nonequilibrium Green’s Function.
Computation of Equilibrium States and Time-Propagation.
Lattice Systems.
Non-Lattice Systems.
Conclusion and Outlook.