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Bonitz M. Quantum Kinetic Theory

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Bonitz M. Quantum Kinetic Theory
2nd Edition. – Springer International Publishing, Switzerland, 2016. – 426 p. – ISBN: 3319241192
This 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.
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
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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