Green s Functions and Condensed MatterGreen s Functions and Condensed Matter



This volume presents the basic theoretical formulation, followed by specific applications that include transport coefficients of a metal, the Coulomb gas, Fermi liquids, electrons and phonons, superconductivity, superfluidity, and magnetism ...

Author: G. Rickayzen

Publisher: Courier Corporation

ISBN: 9780486499840

Category:

Page: 357

View: 436

"Green's functions, named for the mathematician who developed them in the 1830s, possess applications in many areas of physics. This volume presents the basic theoretical formulation, followed by specific applications that include transport coefficients of a metal, the Coulomb gas, Fermi liquids, electrons and phonons, superconductivity, superfluidity, and magnetism. 1984 edition"--

Green s Functions for Solid State PhysicistsGreen s Functions for Solid State Physicists



In the reprint edition, two new chapters have been added to the original text to provide an introduction to the recent developments in the physics of correlated electron systems and, in particular, of high-T[subscript c] superconductivity.

Author: S. Doniach

Publisher: World Scientific Publishing Company

ISBN: 1860940803

Category:

Page: 317

View: 253

"Green's functions for Solid State Physicists" has helped introduce several generations of condensed matter physics graduate students to the very powerful ideas of quantum many body theory and some of their applications, particularly those in the physics of itinerant magnetism and superconductivity. It is pedagogical in philosophy, and is based on the idea of leading the reader to understanding sophisticated formalism through the study of simple examples which demonstrate the formal points. In the reprint edition, two new chapters have been added to the original text to provide an introduction to the recent developments in the physics of correlated electron systems and, in particular, of high-T[subscript c] superconductivity.

Green s Function in Condensed Matter PhysicsGreen s Function in Condensed Matter Physics



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.

Author: Wang Huaiyu

Publisher: Alpha Science International Limited

ISBN: 1842657143

Category:

Page: 589

View: 183

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 and Condensed MatterGreen s Functions and Condensed Matter



Green's functions from them. For example, we can write down the Green's
functions ... The second is that with the Green's functions we have so far
constructed, there is not a simple relation between the Green's function G(r, t; r't')
and g4 or gR.

Author: G. Rickayzen

Publisher: Courier Corporation

ISBN: 9780486315867

Category:

Page: 368

View: 903

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.

Quantum Statistical Field TheoryQuantum Statistical Field Theory



This book provides an introduction to the methods of coupled quantum statistical field theory and Green's functions.

Author: Norman J. Morgenstern Horing

Publisher: Oxford University Press

ISBN: 9780192509758

Category:

Page: 448

View: 100

This book provides an introduction to the methods of coupled quantum statistical field theory and Green's functions. The methods of coupled quantum field theory have played a major role in the extensive development of nonrelativistic quantum many-particle theory and condensed matter physics. This introduction to the subject is intended to facilitate delivery of the material in an easily digestible form to advanced undergraduate physics majors at a relatively early stage of their scientific development. The main mechanism to accomplish this is the early introduction of variational calculus and the Schwinger Action Principle, accompanied by Green's functions. Important achievements of the theory in condensed matter and quantum statistical physics are reviewed in detail to help develop research capability. These include the derivation of coupled field Green's function equations-of-motion for a model electron-hole-phonon system, extensive discussions of retarded, thermodynamic and nonequilibrium Green's functions and their associated spectral representations and approximation procedures. Phenomenology emerging in these discussions include quantum plasma dynamic-nonlocal-screening, plasmons, polaritons, linear electromagnetic response, excitons, polarons, phonons, magnetic Landau quantization, van der Waals interactions, chemisorption, etc. Considerable attention is also given to low dimensional and nanostructured systems, including quantum wells, wires, dots and superlattices, as well as materials having exceptional conduction properties such as Superconductors, Superfluids and Graphene.

Progress in Nonequilibrium Green s Functions IIProgress in Nonequilibrium Green s Functions II



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.

Author: Michael Bonitz

Publisher: World Scientific

ISBN: 9789814486682

Category:

Page: 548

View: 257

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

Many Body Quantum Theory in Condensed Matter PhysicsMany Body Quantum Theory in Condensed Matter Physics



The book is an introduction to quantum field theory applied to condensed matter physics.

Author: Henrik Bruus

Publisher: Oxford University Press

ISBN: 9780198566335

Category:

Page: 435

View: 875

The book is an introduction to quantum field theory applied to condensed matter physics. The topics cover modern applications in electron systems and electronic properties of mesoscopic systems and nanosystems. The textbook is developed for a graduate or advanced undergraduate course with exercises which aim at giving students the ability to confront real problems.

Progress in Nonequilibrium Green s FunctionsProgress in Nonequilibrium Green s Functions



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 ...

Author: Michael Bonitz

Publisher: World Scientific

ISBN: 9789814493611

Category:

Page: 584

View: 212

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

Physics of Condensed MatterPhysics of Condensed Matter



While the book offers fundamental ideas and topic areas of condensed matter physics, it also includes many recent topics of interest on which graduate students may choose to do further research.

Author: Prasanta Misra

Publisher: Academic Press

ISBN: 0123849551

Category:

Page: 688

View: 773

Physics of Condensed Matter is designed for a two-semester graduate course on condensed matter physics for students in physics and materials science. While the book offers fundamental ideas and topic areas of condensed matter physics, it also includes many recent topics of interest on which graduate students may choose to do further research. The text can also be used as a one-semester course for advanced undergraduate majors in physics, materials science, solid state chemistry, and electrical engineering, because it offers a breadth of topics applicable to these majors. The book begins with a clear, coherent picture of simple models of solids and properties and progresses to more advanced properties and topics later in the book. It offers a comprehensive account of the modern topics in condensed matter physics by including introductory accounts of the areas of research in which intense research is underway. The book assumes a working knowledge of quantum mechanics, statistical mechanics, electricity and magnetism and Green's function formalism (for the second-semester curriculum). Covers many advanced topics and recent developments in condensed matter physics which are not included in other texts and are hot areas: Spintronics, Heavy fermions, Metallic nanoclusters, Zno, Graphene and graphene-based electronic, Quantum hall effect, High temperature superdonductivity, Nanotechnology Offers a diverse number of Experimental techniques clearly simplified Features end of chapter problems

Quantum Field Theory in Condensed Matter PhysicsQuantum Field Theory in Condensed Matter Physics



This book is a course in modern quantum field theory as seen through the eyes of a theorist working in condensed matter physics.

Author: Alexei M. Tsvelik

Publisher: Cambridge University Press

ISBN: 9781139440509

Category:

Page:

View: 175

This book is a course in modern quantum field theory as seen through the eyes of a theorist working in condensed matter physics. It contains a gentle introduction to the subject and therefore can be used even by graduate students. The introductory parts include a derivation of the path integral representation, Feynman diagrams and elements of the theory of metals including a discussion of Landau–Fermi liquid theory. In later chapters the discussion gradually turns to more advanced methods used in the theory of strongly correlated systems. The book contains a thorough exposition of such non-perturbative techniques as 1/N-expansion, bosonization (Abelian and non-Abelian), conformal field theory and theory of integrable systems. The book is intended for graduate students, postdoctoral associates and independent researchers working in condensed matter physics.

Topics and Methods in Condensed Matter TheoryTopics and Methods in Condensed Matter Theory



This book provides course material in theoretical physics intended for undergraduate and graduate students specializing in condensed matter.

Author: Michele Cini

Publisher: Springer Science & Business Media

ISBN: 9783540707264

Category:

Page: 443

View: 254

This book provides course material in theoretical physics intended for undergraduate and graduate students specializing in condensed matter. The book derives from teaching activity, offering readable and mathematical treatments explained in sufficient detail to be followed easily. The main emphasis is always on the physical meaning and applicability of the results. Many examples are provided for illustration; these also serve as worked problems. Discussion extends to atomic physics, relativistic quantum mechanics, elementary QED, electron spectroscopy, nonlinear optics, and various aspects of the many-body problem. Methods such as group representation theory, Green’s functions, the Keldysh formalism and recursion techniques were also imparted.

Many body Theory Exposed Many body Theory Exposed



While the majority of books on many-body theory deal with the subject from the viewpoint of condensed matter physics, this book emphasizes finite systems as well and should be of considerable interest to researchers in nuclear, atomic, and ...

Author: Willem Hendrik Dickhoff

Publisher: World Scientific

ISBN: 9789812813794

Category:

Page: 831

View: 558

This comprehensive textbook on the quantum mechanics of identical particles includes a wealth of valuable experimental data, in particular recent results from direct knockout reactions directly related to the single-particle propagator in many-body theory. The comparison with data is incorporated from the start, making the abstract concept of propagators vivid and accessible. Results of numerical calculations using propagators or Green's functions are also presented. The material has been thoroughly tested in the classroom and the introductory chapters provide a seamless connection with a one-year graduate course in quantum mechanics. While the majority of books on many-body theory deal with the subject from the viewpoint of condensed matter physics, this book emphasizes finite systems as well and should be of considerable interest to researchers in nuclear, atomic, and molecular physics. A unified treatment of many different many-body systems is presented using the approach of self-consistent Green's functions. The second edition contains an extensive presentation of finite temperature propagators and covers the technique to extract the self-energy from experimental data as developed in the dispersive optical model.The coverage proceeds systematically from elementary concepts, such as second quantization and mean-field properties, to a more advanced but self-contained presentation of the physics of atoms, molecules, nuclei, nuclear and neutron matter, electron gas, quantum liquids, atomic Bose-Einstein and fermion condensates, and pairing correlations in finite and infinite systems, including finite temperature.

Feynman Diagram Techniques in Condensed Matter PhysicsFeynman Diagram Techniques in Condensed Matter Physics



A concise introduction to Feynman diagram techniques, this book shows how they can be applied to the analysis of complex many-particle systems, and offers a review of the essential elements of quantum mechanics, solid state physics and ...

Author: Radi A. Jishi

Publisher: Cambridge University Press

ISBN: 9781107355125

Category:

Page:

View: 708

A concise introduction to Feynman diagram techniques, this book shows how they can be applied to the analysis of complex many-particle systems, and offers a review of the essential elements of quantum mechanics, solid state physics and statistical mechanics. Alongside a detailed account of the method of second quantization, the book covers topics such as Green's and correlation functions, diagrammatic techniques and superconductivity, and contains several case studies. Some background knowledge in quantum mechanics, solid state physics and mathematical methods of physics is assumed. Detailed derivations of formulas and in-depth examples and chapter exercises from various areas of condensed matter physics make this a valuable resource for both researchers and advanced undergraduate students in condensed matter theory, many-body physics and electrical engineering. Solutions to exercises are available online.

Quantum Field Theory And Condensed Matter Physics Proceedings Of The 4th Trieste ConferenceQuantum Field Theory And Condensed Matter Physics Proceedings Of The 4th Trieste Conference



The aim of this interdisciplinary conference was to bring together experts in quantum field theory and condensed matter physics to survey the latest exciting developments in this border-line field, such as the Chern-Simons field theory and ...

Author: Seifallah Randjbar-daemi

Publisher: World Scientific

ISBN: 9789814552097

Category:

Page: 148

View: 131

The aim of this interdisciplinary conference was to bring together experts in quantum field theory and condensed matter physics to survey the latest exciting developments in this border-line field, such as the Chern-Simons field theory and quantum hall effect, anyon superconductivity, Yang-Baxter equations and quantum groups, conformal field theory and multi-channel kondo effect, matrix models and quantum gravity, etc.This set of proceedings contains brief reviews contributed by leading experts in the field.

Green Functions for Ordered and Disordered SystemsGreen Functions for Ordered and Disordered Systems



Although one can find a number of books or monographs in which Green
functions and their application to the study of condensed matter physics are
adequately presented , there appears to be no similar exposition of multiple
scattering theory ...

Author: Antonios Gonis

Publisher: North Holland

ISBN: UOM:39015057389705

Category:

Page: 694

View: 192

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.

Green s Functions for Solid State PhysicistsGreen s Functions for Solid State Physicists



Introduction The Theory of Condensed Matter The science of condensed matter (
thermodynamics , hydrodynamics , etc. ) is in many ways much older than that of
the atomic constituents . However , it is only in the last two or three decades that ...

Author: S. Doniach

Publisher: Benjamin-Cummings Publishing Company

ISBN: UVA:X001403156

Category:

Page: 266

View: 438

index

Quantum Theory of Many Body SystemsQuantum Theory of Many Body Systems



This text presents a self-contained treatment of the physics of many-body systems from the point of view of condensed matter.

Author: Alexandre Zagoskin

Publisher: Springer

ISBN: 9783319070490

Category:

Page: 280

View: 680

This text presents a self-contained treatment of the physics of many-body systems from the point of view of condensed matter. The approach, quite traditionally, uses the mathematical formalism of quasiparticles and Green’s functions. In particular, it covers all the important diagram techniques for normal and superconducting systems, including the zero-temperature perturbation theory and the Matsubara, Keldysh and Nambu-Gor'kov formalism, as well as an introduction to Feynman path integrals. This new edition contains an introduction to the methods of theory of one-dimensional systems (bosonization and conformal field theory) and their applications to many-body problems. Intended for graduate students in physics and related fields, the aim is not to be exhaustive, but to present enough detail to enable the student 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 their volume and which therefore provides an ideal testing ground for many-body theories.