Quantum Kinetic Theory

Front Cover
Springer, Nov 20, 2015 - Science - 406 pages

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.

 

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Contents

1 Introduction
1
2 The Method of Reduced Density Operators
29
3 Correlations Due to the Spin Statistics
71
4 MeanField Approximation Quantum Vlasov Equation Collective Effects
83
5 Correlations and Their Dynamics
119
6 Correlation Dynamics and NonMarkovian Effects
127
7 NonMarkovian Kinetic Equations with Selfenergy
141
8 Properties of the Quantum Kinetic Equation
171
13 Nonequilibrium Green Functions Approach to FieldMatter Dynamics
271
14 Conclusion
335
Appendix AUsed Mathematical Formulas
337
Appendix BWigner Representationof the BBGKYHierarchy
341
Appendix CEquations of Motion for Binaryand Ternary Correlations
345
Appendix DProperties of the FreePropagators U0 and U0
353
Appendix ERetardation Expansion
357
Appendix FNumerical Solution of Quantum KineticEquations
363

9 Strong Coupling Effects Ladder TMatrix Approximation
183
10 Random Phase Approximation
211
11 Dynamically Screened Ladder Approximation
231
12 Charged ManyParticle Systems in Electromagnetic Fields Generalized Bloch Equations
237
Appendix GSolutions to Problems
374
References
385
Index
401
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