Quantum Kinetic Theory
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Beschreibung
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). Numerical results for the solution of quantum kinetic equations are given. Detailed comparison with alternative approaches (non-equilibrium Green's funtions, Molecular Dynamics) is discussed.
This book comnines detailed presentation of the basic material using easy to understand density operator methods (Quantum BBGKY-hierarchy); advanced applications to ultrafast relaxation processes (motivated by modern developments in femtosecond lasers) and detailed analysis of the interaction of charged particles with electomagnetic fields; compact and coprehensive presentation of nonequilibrium Green´s functions, starting from relativistic systems (QED), and detailed comparison to density operators; discussion of Molecular dynamic methods in nonequilibrium and of its relation to quantum knietics; state of the art numericsl results to all subjects, supplemented with a detailed appemdix devoted to numerical methods in quantum kinetics; extensive references, both to classical works on knietic theory and to modern applications in various field.
Autor*in
Michael Bonitz
Themen in »Quantum Kinetic Theory«
Collective Effects Definitions Introduction Mean-Field Approximation Non-Markovian Effects Non-Markovian Kinetic Quantum Vlasov Equation Reduced Density Operators Symbols Teubner Texte zur Physik