I Quantum Statistical Approaches to Correlations -- Quantum Many-Body Theory and Coherent Potential Approximation -- Cluster Transfer Matrix Method: A novel Many-Body Technique in Nanoelectronics -- Dynamical Properties of Quantum Systems -- Variational Approaches to the Dynamics of Mixed Quantum States -- Thermal Non-analyticity in the Damping Rate of a Massive Fermion -- Second Law of Thermodynamics, but Without a Thermodynamic Limit -- II Description of Nonequilibrium Correlations -- Isothermal Molecular Dynamics in Classical and Quantum Mechanics -- Non-local Kinetic Theory -- Collisional Absorption of Laser Radiation in a Strongly Correlated Plasma -- Correlations and Equilibration in Relativistic Quantum Systems -- Consequences of Kinetic Nonequilibrium for the Nuclear Equation-of-state in Heavy Ion Collisions -- III Response to Short Laser Pulses in Semiconductors Ultrafast Spectroscopy in the Quantum Hall Regime -- Ultrafast Formation of Quasiparticles in Semiconductors: How Bare Charges Get Dressed -- Self-Consistent Projection Operator Theory of Intersubband Absorbance in Semiconductor Quantum Wells -- Disorder Induced e-h Correlation in Photoexcited Transients in Semiconductors -- Excitonic Correlations in the Nonlinear Optical Response of Two-dimensional Semiconductor Microstructures: A Nonequilibrium Green's Function Approach -- Cluster Expansion in Semiconductor Quantum Optics -- IV Correlations and Dynamics Clusters and Nuclei -- Analysis of Cluster Dynamics -- Short Time-Scale Electron Kinetics in Bulk Metals and Metal Clusters -- Origin of the Pseudogap in High Temperature Superconductors -- Electric Fields in Superconductors -- Cluster Emission in Complex Nuclear Reactions -- Correlations in Finite Systems and Their Universal Scaling Properties -- Fluctuations and Instabilities in Nuclear Dynamics: from Multifragmentation to Neutron Stars.
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This introductory level text addresses the broad range of nonequilibrium phenomena observed at short time scales. It focuses on the important questions of correlations and memory effects in dense interacting systems. Experiments on very short time scales are characterized, in particular, by strong correlations far from equilibrium, by nonlinear dynamics, and by the related phenomena of turbulence and chaos. The impressive successes of experiments using pulsed lasers to study the properties of matter and of the new methods of analysis of the early phases of heavy ion reactions have necessitated a review of the available many-body theoretical methods. The aim of this book is thus to provide an introduction to the experimental and theoretical methods that help us to understand the behaviour of such systems when disturbed on very short time scales. The contributions are written in a tutorial style and are largely self-contained, allowing graduate students and researchers alike to become familiar with this exciting interdisciplinary field.