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Full Description
This book presents an up-to-date formalism of non-equilibrium Green's functions covering different applications ranging from solid state physics, plasma physics, cold atoms in optical lattices up to relativistic transport and heavy ion collisions. Within the Green's function formalism, the basic sets of equations for these diverse systems are similar, and approximations developed in one field can be adapted to another field. The central object is the self-energy which includes all non-trivial aspects of the system dynamics. The focus is therefore on microscopic processes starting from elementary principles for classical gases and the complementary picture of a single quantum particle in a random potential. This provides an intuitive picture of the interaction of a particle with the medium formed by other particles, on which the Green's function is built on.
Contents
PART I: Classical kinetic concepts
1: Historical background
2: Elementary principles
3: Classical kinetic theory
PART II: Inductive way to quantum transport
4: Scattering on a single impurity
5: Multiple impurity scattering
6: Selfenergy
PART III: Deductive way to quantum transport
7: Nonequilibrium Green's functions
8: Spectral Properties
9: Quantum kinetic equations
10: Approximations for the selfenergy
11: Variational techniques of many-body theory
12: Systems with condensates and pairing
PART IV: Nonlocal kinetic theory
13: Nonlocal collision integral
14: Properties of non-instant and non-local corrections
15: Nonequilibrium quantum hydrodynamics
PART V: Selected applications
16: Diffraction on a barrier
17: Deep impurities with collision delay
18: Relaxation-time approximation
19: Transient time period
20: Field-dependent transport
21: Kinetic theory of systems with SU(2) structure
22: Relativistic transport
23: Simulations of heavy ion reactions with nonlocal collisions
Appendix A: Density-operator technique
Appendix B: Complex time path
Appendix C: Derived optical theorem
Appendix D: Proof of drift and gain compensation into rate of quasiparticles
Appendix E: Separable interactions
