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.
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.
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.
Inhaltsangabe
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
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
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