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OverviewThis 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. Full Product DetailsAuthor: Klaus Morawetz (Professor of Mathematics and Many-Body Theory, Professor of Mathematics and Many-Body Theory, Münster University of Applied Sciences, Germany)Publisher: Oxford University Press Imprint: Oxford University Press Dimensions: Width: 17.70cm , Height: 3.50cm , Length: 25.30cm Weight: 1.286kg ISBN: 9780198797241ISBN 10: 0198797249 Pages: 596 Publication Date: 21 December 2017 Audience: Professional and scholarly , College/higher education , Professional & Vocational , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsPART 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 interactionsReviewsProf. 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. * Andrew Resnick, Contemporary Physics * Author InformationKlaus 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. Tab Content 6Author Website:Countries AvailableAll regions |
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