Green Functions For Ordered And Disordered Systems
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Green Functions For Ordered And Disordered Systems
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Author : Antonios Gonis
language : en
Publisher: North Holland
Release Date : 1992
Green Functions For Ordered And Disordered Systems written by Antonios Gonis and has been published by North Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Science categories.
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 Physicists
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Author : Doniach S
language : en
Publisher: World Scientific
Release Date : 1998-06-06
Green S Functions For Solid State Physicists written by Doniach S and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-06-06 with Science categories.
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 And Ordered Exponentials
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Author : H. M. Fried
language : en
Publisher: Cambridge University Press
Release Date : 2002-10-10
Green S Functions And Ordered Exponentials written by H. M. Fried and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-10-10 with Science categories.
This book presents a functional approach to the construction, use and approximation of Green's functions and their associated ordered exponentials. After a brief historical introduction, the author discusses new solutions to problems involving particle production in crossed laser fields and non-constant electric fields. Applications to problems in potential theory and quantum field theory are covered, along with approximations for the treatment of color fluctuations in high-energy QCD scattering, and a model for summing classes of eikonal graphs in high-energy scattering problems. The book also presents a variant of the Fradkin representation which suggests a new non-perturbative approximation scheme, and provides a qualitative measure of the error involved in each such approximation. Covering the basics as well as more advanced applications, this book is suitable for graduate students and researchers in a wide range of fields, including quantum field theory, fluid dynamics and applied mathematics.
Green S Functions And Condensed Matter
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Author : G. Rickayzen
language : en
Publisher: Courier Corporation
Release Date : 2013-06-03
Green S Functions And Condensed Matter written by G. Rickayzen and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-03 with Science categories.
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 In Quantum Physics
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Author : Eleftherios N. Economou
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Green S Functions In Quantum Physics written by Eleftherios N. Economou and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Science categories.
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.
Disordered Systems
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Author : John Hertz
language : en
Publisher:
Release Date : 1985
Disordered Systems written by John Hertz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Inhomogeneous materials categories.
Non Equilibrium Green S Functions Negf And Quantum Kinetic Theory
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Author : Meng Lee Leek
language : en
Publisher: LAP Lambert Academic Publishing
Release Date : 2013
Non Equilibrium Green S Functions Negf And Quantum Kinetic Theory written by Meng Lee Leek and has been published by LAP Lambert Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Electrons categories.
In this work we show that Non-equilibrium Green's Function Perturbation Theory (NEGF) is really the overarching perturbative transport theory. It is developed in 3 directions: Landauer-like theory, kinetic theory and Green-Kubo linear response theory. This work generalizes the 2 directions of Landauer-like theory and the kinetic theory. Firstly, NEGF is used to derive phonon-phonon Hedin-like functional derivative equations which generates conserving self energy approximations for phonon-phonon interaction. Secondly, for the Landauer-like theory, using the perturbation expansion, we obtain anharmonic corrections to the ballistic energy current and to the noise associated to the energy current. Along a seperate line, we incooperate high mass disorder into the ballistic energy current formula. The coherent potential approximation (CPA) is found to be compatible with the ballistic energy current expression. Lastly, for the kinetic theory, Wigner coordinates + gradient expansion easily allow the derivation of phonon-phonon correlation corrections to kinetic equations. The main feature of this work is the extremely detailed mathematical explanations.
Green S Functions In Quantum Physics
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Author : Eleftherios N. Economou
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-08-02
Green S Functions In Quantum Physics written by Eleftherios N. Economou and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-02 with Science categories.
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 Functions In The Theory Of Ordinary Differential Equations
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Author : Alberto Cabada
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-29
Green S Functions In The Theory Of Ordinary Differential Equations written by Alberto Cabada and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-29 with Mathematics categories.
This book provides a complete and exhaustive study of the Green’s functions. Professor Cabada first proves the basic properties of Green's functions and discusses the study of nonlinear boundary value problems. Classic methods of lower and upper solutions are explored, with a particular focus on monotone iterative techniques that flow from them. In addition, Cabada proves the existence of positive solutions by constructing operators defined in cones. The book will be of interest to graduate students and researchers interested in the theoretical underpinnings of boundary value problem solutions.
Green S Functions
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Author : Yuri A. Melnikov
language : en
Publisher: Springer
Release Date : 2017-05-08
Green S Functions written by Yuri A. Melnikov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-08 with Mathematics categories.
This book is comprehensive in its classical mathematical physics presentation, providing the reader with detailed instructions for obtaining Green's functions from scratch. Green's functions is an instrument easily accessible to practitioners who are engaged in design and exploitation of machines and structures in modern engineering practice. To date, there are no books available on the market that are devoted to the Green's function formalism for equations covered in this volume. The reader, with an undergraduate background in applied mathematics, can become an active user of the Green's function approach. For the first time, Green's functions are discussed for a specific class of problems dealing with potential fields induced in thin-wall structures and therefore, the reader will have first-hand access to a novel issue. This Work is accessible to researchers in applied mathematics, mechanics, and relevant disciplines such as engineering, as well as to upper level undergraduates and graduate students.