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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.
List of 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
About the author
Klaus Morawetz graduated in 1992 with a PhD in theoretical physics. He held various postdoc positions at Arizona University, Tennessee TEC, Michigan University , LNS.INFN Catania, and at the Nils Bohr Institute in Copenhagen. He completed a one year research stay at France (LPC Caen), two years at the Max Planck Institute MPIPKS Dresden, one year HZDR Rossendorf, and four years as assistant at Chemnitz University of Technology. In 2008 he was guest professor at ICCMP in Brasilia. Since 2009 he has held a professorship for mathematics and theoretical many-body physics at University of Applied Sciences Münster, researching interacting many-body systems out of equilibrium.
Summary
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.
Additional text
Prof. Morawetz has generated an advanced monograph presenting a coherent theory of quantum manybody kinetics. I expect the intended audience will find his presentation highly relevant.
