2nd Edition. – Springer International Publishing, Switzerland, 2016. – 426 p. – ISBN: 3319241192This book presents quantum kinetic theory in a comprehensive way. The focus is on density operator methods and on non-equilibrium Green functions. The theory allows to rigorously treat nonequilibrium dynamics in quantum many-body systems. Of particular interest are ultrafast processes in plasmas, condensed matter and trapped atoms that are stimulated by rapidly developing experiments with short pulse lasers and free electron lasers. To describe these experiments theoretically, the most powerful approach is given by non-Markovian quantum kinetic equations that are discussed in detail, including computational aspects. Contents Introduction The Method of Reduced Density Operators Correlations Due to 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 Properties of the Quantum Kinetic Equation Strong Coupling Effects. Ladder (T-Matrix) Approximation Random Phase Approximation Dynamically Screened Ladder Approximation Charged Many—Particle Systems in Electromagnetic Fields. Generalized Bloch Equations Nonequilibrium Green Functions Approach to Field-Matter Dynamics Appendices Used Mathematical Formulas Wigner Representation of the BBGKY-Hierarchy Equations of Motion for Binary and Ternary Correlations Properties of the Free Propagators U0 and U0 Retardation Expansion Numerical Solution of Quantum Kinetic Equations Solutions to Problems
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