Klaus Morawetz

Interacting Systems far from Equilibrium (eBook, PDF)

Quantum Kinetic Theory

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Oxford University Press
• Seitenzahl: 576
• Erscheinungstermin: 8. Dezember 2017
• Englisch
• ISBN-13: 9780192517784
• Artikelnr.: 54636843

Autorenporträt

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