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Statistical Greens Functions
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Book Synopsis The Green Function Method in Statistical Mechanics by : V.L. Bonch-Bruevich
Download or read book The Green Function Method in Statistical Mechanics written by V.L. Bonch-Bruevich and published by Courier Dover Publications. This book was released on 2015-11-18 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise monograph devoted to techniques of solving many-body problems in physics using the quantum-mechanical Green function method. Requires some familiarity with the basic theory of quantum mechanics and statistical mechanics. 1962 edition.
Author :Eleftherios N. Economou Publisher :Springer Science & Business Media ISBN 13 :3662023695 Total Pages :325 pages Book Rating :4.6/5 (62 download)
Book Synopsis Green’s Functions in Quantum Physics by : Eleftherios N. Economou
Download or read book Green’s Functions in Quantum Physics written by Eleftherios N. Economou and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author :V. I. Yukalov Publisher :Queens University, Institute of Intergovernmental Relations ISBN 13 : Total Pages :140 pages Book Rating :4.3/5 (243 download)
Book Synopsis Statistical Green's Functions by : V. I. Yukalov
Download or read book Statistical Green's Functions written by V. I. Yukalov and published by Queens University, Institute of Intergovernmental Relations. This book was released on 1998 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Green’s Functions in the Theory of Ordinary Differential Equations by : Alberto Cabada
Download or read book Green’s Functions in the Theory of Ordinary Differential Equations written by Alberto Cabada and published by Springer Science & Business Media. This book was released on 2013-11-29 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Green's Functions and Condensed Matter by : G. Rickayzen
Download or read book Green's Functions and Condensed Matter written by G. Rickayzen and published by Courier Corporation. This book was released on 2013-06-03 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Green's Functions and Linear Differential Equations by : Prem K. Kythe
Download or read book Green's Functions and Linear Differential Equations written by Prem K. Kythe and published by CRC Press. This book was released on 2011-01-21 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Green's Functions and Linear Differential Equations: Theory, Applications, and Computation presents a variety of methods to solve linear ordinary differential equations (ODEs) and partial differential equations (PDEs). The text provides a sufficient theoretical basis to understand Green's function method, which is used to solve initial and boundary
Book Synopsis Green’s Functions in Classical Physics by : Tom Rother
Download or read book Green’s Functions in Classical Physics written by Tom Rother and published by Springer. This book was released on 2017-04-27 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the Green’s function formalism in a basic way and demonstrates its usefulness for applications to several well-known problems in classical physics which are usually solved not by this formalism but other approaches. The book bridges the gap between applications of the Green’s function formalism in quantum physics and classical physics. This book is written as an introduction for graduate students and researchers who want to become more familiar with the Green’s function formalism. In 1828 George Green has published an essay that was unfortunately sunken into oblivion shortly after its publication. It was rediscovered only after several years by the later Lord Kelvin. But since this time, using Green’s functions for solving partial differential equations in physics has become an important mathematical tool. While the conceptual and epistemological importance of these functions were essentially discovered and discussed in modern physics - especially in quantum field theory and quantum statistics - these aspects are rarely touched in classical physics. In doing it, this book provides an interesting and sometimes new point of view on several aspects and problems in classical physics, like the Kepler motion or the description of certain classical probability experiments in finite event spaces. A short outlook on quantum mechanical problems concludes this book.
Book Synopsis Quantum Statistical Mechanics by : Leo P. Kadanoff
Download or read book Quantum Statistical Mechanics written by Leo P. Kadanoff and published by . This book was released on 1962 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Annotations to Quantum Statistical Mechanics by : In-Gee Kim
Download or read book Annotations to Quantum Statistical Mechanics written by In-Gee Kim and published by CRC Press. This book was released on 2018-03-14 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a rewritten and annotated version of Leo P. Kadanoff and Gordon Baym’s lectures that were presented in the book Quantum Statistical Mechanics: Green’s Function Methods in Equilibrium and Nonequilibrium Problems. The lectures were devoted to a discussion on the use of thermodynamic Green’s functions in describing the properties of many-particle systems. The functions provided a method for discussing finite-temperature problems with no more conceptual difficulty than ground-state problems, and the method was equally applicable to boson and fermion systems and equilibrium and nonequilibrium problems. The lectures also explained nonequilibrium statistical physics in a systematic way and contained essential concepts on statistical physics in terms of Green’s functions with sufficient and rigorous details. In-Gee Kim thoroughly studied the lectures during one of his research projects but found that the unspecialized method used to present them in the form of a book reduced their readability. He started the tedious work of rewriting and annotating them to fully understand the formalism of nonequilibrium quantum statistical mechanics. While doing so, he realized they can be a useful resource for students of modern physics but will have to be upgraded to match pace with the evolved curricula. Being aware that besides completing the course work and passing the relevant examinations, it is necessary for graduate students of modern physics to make the knowledge of a topic concrete in their minds. This book is a systematically prepared summary of those lectures and will be extremely useful for graduate students as well as senior researchers to settle down the key knowledge of the subject.
Book Synopsis Green's Functions in Quantum Statistical Mechanics by : Christian W. Gruber
Download or read book Green's Functions in Quantum Statistical Mechanics written by Christian W. Gruber and published by . This book was released on 1968 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Green's Functions with Applications by : Dean G. Duffy
Download or read book Green's Functions with Applications written by Dean G. Duffy and published by CRC Press. This book was released on 2015-03-10 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since publication of the first edition over a decade ago, Green’s Functions with Applications has provided applied scientists and engineers with a systematic approach to the various methods available for deriving a Green’s function. This fully revised Second Edition retains the same purpose, but has been meticulously updated to reflect the current state of the art. The book opens with necessary background information: a new chapter on the historical development of the Green’s function, coverage of the Fourier and Laplace transforms, a discussion of the classical special functions of Bessel functions and Legendre polynomials, and a review of the Dirac delta function. The text then presents Green’s functions for each class of differential equation (ordinary differential, wave, heat, and Helmholtz equations) according to the number of spatial dimensions and the geometry of the domain. Detailing step-by-step methods for finding and computing Green’s functions, each chapter contains a special section devoted to topics where Green’s functions particularly are useful. For example, in the case of the wave equation, Green’s functions are beneficial in describing diffraction and waves. To aid readers in developing practical skills for finding Green’s functions, worked examples, problem sets, and illustrations from acoustics, applied mechanics, antennas, and the stability of fluids and plasmas are featured throughout the text. A new chapter on numerical methods closes the book. Included solutions and hundreds of references to the literature on the construction and use of Green's functions make Green’s Functions with Applications, Second Edition a valuable sourcebook for practitioners as well as graduate students in the sciences and engineering.
Book Synopsis Green's Functions Technique for Statistical Ensembles by : Gerd Röpke
Download or read book Green's Functions Technique for Statistical Ensembles written by Gerd Röpke and published by . This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Statistical Mechanics And The Physics Of Many-particle Model Systems by : Alexander Leonidovich Kuzemsky
Download or read book Statistical Mechanics And The Physics Of Many-particle Model Systems written by Alexander Leonidovich Kuzemsky and published by World Scientific. This book was released on 2017-02-24 with total page 1259 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the study of the correlation effects in many-particle systems. It presents the advanced methods of quantum statistical mechanics (equilibrium and nonequilibrium), and shows their effectiveness and operational ability in applications to problems of quantum solid-state theory, quantum theory of magnetism and the kinetic theory. The book includes description of the fundamental concepts and techniques of analysis following the approach of N N Bogoliubov's school, including recent developments. It provides an overview that introduces the main notions of quantum many-particle physics with the emphasis on concepts and models.This book combines the features of textbook and research monograph. For many topics the aim is to start from the beginning and to guide the reader to the threshold of advanced researches. Many chapters include also additional information and discuss many complex research areas which are not often discussed in other places. The book is useful for established researchers to organize and present the advanced material disseminated in the literature. The book contains also an extensive bibliography.The book serves undergraduate, graduate and postgraduate students, as well as researchers who have had prior experience with the subject matter at a more elementary level or have used other many-particle techniques.
Book Synopsis Progress In Nonequilibrium Green's Functions, Sep 99, Germany by : Michael Bonitz
Download or read book Progress In Nonequilibrium Green's Functions, Sep 99, Germany written by Michael Bonitz and published by World Scientific. This book was released on 2000-05-11 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Non-Equilibrium Green's Function Method for Nanoscale Device Simulation by : Mahdi Pourfath
Download or read book The Non-Equilibrium Green's Function Method for Nanoscale Device Simulation written by Mahdi Pourfath and published by Springer. This book was released on 2014-07-05 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: For modeling the transport of carriers in nanoscale devices, a Green-function formalism is the most accurate approach. Due to the complexity of the formalism, one should have a deep understanding of the underlying principles and use smart approximations and numerical methods for solving the kinetic equations at a reasonable computational time. In this book the required concepts from quantum and statistical mechanics and numerical methods for calculating Green functions are presented. The Green function is studied in detail for systems both under equilibrium and under nonequilibrium conditions. Because the formalism enables rigorous modeling of different scattering mechanisms in terms of self-energies, but an exact evaluation of self-energies for realistic systems is not possible, their approximation and inclusion in the quantum kinetic equations of the Green functions are elaborated. All the elements of the kinetic equations, which are the device Hamiltonian, contact self-energies and scattering self-energies, are examined and efficient methods for their evaluation are explained. Finally, the application of these methods to study novel electronic devices such as nanotubes, graphene, Si-nanowires and low-dimensional thermoelectric devices and photodetectors are discussed.
Book Synopsis Green's Functions in Quantum Statistical Mechanics by : Christian W. Gruber
Download or read book Green's Functions in Quantum Statistical Mechanics written by Christian W. Gruber and published by . This book was released on 1983 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Statistical Mechanics by : Leo P. Kadanoff
Download or read book Quantum Statistical Mechanics written by Leo P. Kadanoff and published by CRC Press. This book was released on 2018-03-08 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a very early systematic treatment of the application of the field-theoretical methods developed after the Second World War to the quantum mechanical many-body problem at finite temperature. It describes various techniques that remain basic tools of modern condensed matter physicists.
