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With the recent developments in femtosecond laser technology the bahavior of matter on ultra-short time scales is becoming of high interest. This includes coherent phenomena, the buildup of correlations and screening and the dynamics of bound state formation. The theoretical description of these nonequilibrium processes requires generalized kinetic equations. This book presents a very general and easy to understand approach to quantum kinetic theory and is addressed to graduate students und specialists in dense plasmas, semiconductors and nuclear matter as well. It covers in detail the basics of the density operator formalism (BBGKY-hierarchy, properties, conservation laws, representations, correlations etc.) and also recent developments in the field of non-Markovian quantum kinetic equations. These include the non-Markovian Landau, Boltzmann and Lenard-Balescu equations, and also equations which describe laser-matter interaction (generalized Bloch equations). Nu merical results for the solution of quantum kinetic equations are given. Detailed comparison with alternative approaches (non-equilibrium Green's funtions, Molecular Dynamics) is discussed.
List of contents
Aus dem Inhalt:
Used Symbols and Definitions - Introduction - The Method of Reduced Density Operators - Correlations dueto the Spin Statistics - Mean-Field Approximation - Quantum Vlasov Equation - Collective Effects - Correlations and their Dynamics - Correlation Dynamics and Non-Markovian Effects - Non-Markovian Kinetic Equations with Selfenergy - Generalized Landau Equation - Strong Coupling Effects - Ladder (T-Matrix) Approximation - Random Phase Approximation - Dynamically Screened Ladder Aproximation - Charged Many-Particle Systems in Electromagnetic Fields - Generalized Bloch Equations - Green's Functions Approach to Field-Matter Dynamics - Quantum Kinetics vs. Molecular Dynamics - Conclusions Appendices
