Titlebook: Nonequilibrium Green‘s Functions Approach to Inhomogeneous Systems; Karsten Balzer,Michael Bonitz Book 2013 Springer-Verlag Berlin Heidelb

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Book 2013the 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..

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Representations of the Nonequilibrium Green’s Functione computational effort and, in turn, of enabling larger propagation times and/or system sizes. A?combination of both (grid and basis) strategies emerges as being particularly promising and advantageous. This is exemplified by using the finite element-discrete variable representation which remarkably simplifies the computation of the self-energies.

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Lattice Systemsear and non-linear response regimes. The results are based on the second Born approximation and the generalized Kadanoff-Baym ansatz (GKBA). In the course of this, the GKBA is proven to overcome problems observed in two-time calculations for finite systems, such as artificial steady states.

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Computation of Equilibrium States and Time-Propagationof the nonequilibrium Green’s functions in the single-time limit using the generalized Kadanoff-Baym ansatz. The advantageous scaling of the associated runtime in comparison to full two-time calculations is illustrated.

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