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Green's Functions and Condensed Matter by G. Rickayzen Pdf
Presentation of the basic theoretical formulation of Green's functions, followed by specific applications: transport coefficients of a metal, Coulomb gas, Fermi liquids, electrons and phonons, superconductivity, superfluidity, and magnetism. 1984 edition.
Green's Functions For Solid State Physicists by Doniach S,Sondheimer Ernst Pdf
This book shows how the analytic properties in the complex energy plane of the Green's functions of many particle systems account for the physical effects (level shifts, damping, instabilities) characteristic of interacting systems. It concentrates on general physical principles and, while it does not discuss experiments in detail, includes introductions to topics of current research interest, such as singularities (X-ray, Kondo) associated with transient perturbations in an electron gas, the Mott metal-insulator transition in correlated electron systems, and the phenomenon of high Tc superconductivity.This invaluable book grew out of a course of graduate lectures given by S Doniach at the University of London. It will appeal to beginning graduate students in theoretical solid state physics as an introduction to more comprehensive or more specialized texts and also to experimentalists who would like a quick view of the subject. A basic knowledge of solid state physics and quantum mechanics at graduate level is assumed./a
Green's Functions in Quantum Physics by Eleftherios N. Economou Pdf
Of interest to advanced students, this book focuses on Green's functions for obtaining simple and general solutions to basic problems in quantum physics. It demonstrates the unifying formalism of Green's functions across many applications, including transport properties, carbon nanotubes, and photonics and photonic crystals.
Green's Function in Condensed Matter Physics by Wang Huaiyu Pdf
GREEN'S FUNCTION THEORY: Condensed Matter Physics introduces in detail the basic theories of the commonly-used monomer and multi-body Green function in condensed matter physics. It introduces the Farnman graphic technology and kinetic equation method regarding multi-body Green function, mainly in the aspect of weak coupling superconductor, Heisenberg magnetic system and mesoscopic transport. The book also explains the concepts and deduces the formulas in great details. It is very learner-friendly with its content level going gradually from being easy to being difficult.
Green’s Functions in Quantum Physics by Eleftherios N. Economou Pdf
In this edition the second and main part of the book has been considerably expanded as to cover important applications of the formalism. In Chap.5 a section was added outlining the extensive role of the tight binding (or equivalently the linear combination of atomic-like orbitals) approach to many branches of solid-state physics. Some additional informa tion (including a table of numerical values) regarding square and cubic lattice Green's functions were incorporated. In Chap.6 the difficult subjects of superconductivity and the Kondo effect are examined by employing an appealingly simple connection to the question of the existence of a bound state in a very shallow potential well. The existence of such a bound state depends entirely on the form of the un perturbed density of states near the end of the spectrum: if the density of states blows up there is always at least one bound state. If the density of states approaches zero continuously, a critical depth (and/or width) of the well must be reached in order to have a bound state. The borderline case of a finite discontinuity (which is very important to superconductivity and the Kondo effect) always produces a bound state with an exponentially small binding energy.
Quantum Theory of Many-Body Systems by Alexandre Zagoskin Pdf
Intended for graduates in physics and related fields, this is a self-contained treatment of the physics of many-body systems from the point of view of condensed matter. The approach, quite traditionally, covers all the important diagram techniques for normal and superconducting systems, including the zero-temperature perturbation theory, and the Matsubara, Keldysh, and Nambu-Gorov formalisms. The aim is not to be exhaustive, but to present just enough detail to enable students to follow the current research literature or to apply the techniques to new problems. Many of the examples are drawn from mesoscopic physics, which deals with systems small enough that quantum coherence is maintained throughout the volume, and which therefore provides an ideal testing ground for many-body theories. '
Progress in Nonequilibrium Green's Functions II by Michael Bonitz,Dirk Semkat Pdf
Equilibrium and nonequilibrium properties of correlated many-body systems are of growing interest in many areas of physics, including condensed matter, dense plasmas, nuclear matter and particles. The most powerful and general method which is equally applied to all these areas is given by quantum field theory. This book provides an overview of the basic ideas and concepts of the method of nonequilibrium Green's functions, written by the leading experts and presented in a way accessible to non-specialists and graduate students. It is complemented by invited review papers on modern applications of the method to a variety of topics, such as optics and quantum transport in semiconductors; superconductivity; strong field effects, QCD, and state-of-the-art computational concepts — from Green's functions to quantum Monte Carlo and time-dependent density functional theory. The proceedings have been selected for coverage in: • Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings) Contents:Nonequilibrium Green's Functions: History, General Problems, Plasmas:Real-Time Nonequilibrium Green's Functions (L V Keldysh)Theory of High-Tc Superconductivity in Layered Cuprates (A A Abrikosov)Correlated Quantum Plasmas in Strong Laser Fields (M Schlanges et al.)Quantum Transport in Semiconductors:Non-Equilibrium Green's Functions in Semiconductor Device Modeling (R Lake et al.)Nonequilibrium Green Function Modelling of Transport in Mesoscopic Systems (A-P Jauho)Bohm Trajectories in Quantum Transport (J R Barker)Optical and Electronic Properties of Semiconductors:Coulomb Correlations in the Quantum Kinetics of Electron Phonon Systems (W Schäfer et al.)Excitonic Quantum Coherences and Correlations in Semiconductor Quantum Wells (R Binder et al.)Nuclear Matter and High Energy Physics:Renormalization of Self-Consistent Φ-Derivable Approximations (H van Hees & J Knoll)Crossover from Neutron-Proton Superfluidity to Bose–Einstein Condensation of Deuterons in Nuclear Matter (A A Isayev)Kinetics of Vacuum Pair Creation in Strong Electromagnetic Fields (A V Tarakanov et al.)Alternative Computational Methods:Time-Dependent Density Functional Theory from a Practitioners Perspective (K Andrae et al.)Combination of Quantum Kinetic Theory and First-Principle Simulations for Strongly Correlated Quantum Plasmas (M Bonitz et al.)Tunneling of Interacting Identical Particles (Yu E Lozovik et al.)and other papers Readership: Graduate students and researchers interested in many-body theory in all areas of physics. Keywords:Nonequilibrium Green's Functions;Real Time Green's Functions;Many-Body Theory;Quantum Kinetic Theory;Quantum Transport;Semiconductor Optics;Semiconductor Device Simulations
Progress in Nonequilibrium Green's Functions by Michael Bonitz Pdf
Equilibrium and nonequilibrium properties of correlated many-body systems are of growing interest in many fields of physics, including condensed matter, dense plasmas, nuclear matter and particles. The most powerful and general method which applies equally to all these areas is given by quantum field theory. Written by the leading experts and understandable to non-specialists, this book provides an overview on the basic ideas and concepts of the method of nonequilibrium Green's functions. It is complemented by modern applications of the method to a variety of topics, such as optics and transport in dense plasmas and semiconductors; correlations, bound states and coherence; strong field effects and short-pulse lasers; nuclear matter and QCD. Authors include: Gordon Bayan, Pawel Danielewicz, Don DuBois, Hartmut Haug, Klaus Henneberger, Antti-Pekka Jauho, Jörn Kuoll, Dietrich Kremp, Pavel Lipavsky and Paul C Martin. Contents:Kadanoff–Baym Equations: History and PerspectivesGeneral Problems of Quantum Kinetic TheoryPlasmasSemiconductors. OpticsQuantum Transport in Coulomb SystemsNuclear Matter, Correlations. Bound States. Bose CondensationNumerical Concepts Readership: Graduate students and researchers interested in the theoretical description of quantum many-body systems in nonequilibrium. Keywords:Equilibrium;Nonequilibrium;Many-Body Systems;Optics;Quantum Field Theory;Nonequilibrium Green's Functions;Kadanoff-Baym Equations;Quantum Kinetic Theory;Plasmas;Semiconductors;Quantum Transport;Nuclear Matter
Green Functions for Ordered and Disordered Systems by Antonios Gonis Pdf
The book presents an exposition of Green functions and multiple scattering theory (MST) as presently used in the study of the electronic structure of matter. Ordered, as well as substitutionally disordered systems are discussed. This volume deals with both a tight binding approach to and a first-principles formulation of Green functions and multiple scattering theory. It includes extended discussions on such topics as the coherent potential approximation (CPA), and the use of full cell potentials in applications of MST to the calculation of electronic structure of solids. Special emphasis is given to the derivation of formulae within the angular momentum representation, as well as to problems. The book contains a collection of problems of particular interest to students.
Diagrammatics: Lectures On Selected Problems In Condensed Matter Theory (2nd Edition) by Sadovskii Michael V Pdf
The introduction of quantum field theory methods has led to a kind of 'revolution' in condensed matter theory, resulting in the increased importance of Feynman diagrams or diagram technique. So, it has now become imperative for professionals in condensed matter theory to have a thorough knowledge of this method.The book is intended to teach students, postdocs and young theorists to use diagrammatic quantum field theory methods applied to different problems of modern condensed matter theory, using specific examples of such problems. This latest edition is extended by the inclusion of some new material on superconductivity and diagram combinatorics.
This textbook is for a course in advanced solid-state theory. It is aimed at graduate students in their third or fourth year of study who wish to learn the advanced techniques of solid-state theoretical physics. The method of Green's functions is introduced at the beginning and used throughout. Indeed, it could be considered a book on practical applications of Green's functions, although I prefer to call it a book on physics. The method of Green's functions has been used by many theorists to derive equations which, when solved, provide an accurate numerical description of many processes in solids and quantum fluids. In this book I attempt to summarize many of these theories in order to show how Green's functions are used to solve real problems. My goal, in writing each section, is to describe calculations which can be compared with experiments and to provide these comparisons whenever available. The student is expected to have a background in quantum mechanics at the level acquired from a graduate course using the textbook by either L. I. Schiff, A. S. Davydov, or I. Landau and E. M. Lifshiftz. Similarly, a prior course in solid-state physics is expected, since the reader is assumed to know concepts such as Brillouin zones and energy band theory. Each chapter has problems which are an important part of the lesson; the problems often provide physical insights which are not in the text. Sometimes the answers to the problems are provided, but usually not.
