The Green Function Method In Statistical Mechanics

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The Green Function Method In Statistical Mechanics
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Author : V.L. Bonch-Bruevich
language : en
Publisher: Courier Dover Publications
Release Date : 2015-11-18
The Green Function Method In Statistical Mechanics written by V.L. Bonch-Bruevich and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-18 with Science categories.
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.
The Non Equilibrium Green S Function Method For Nanoscale Device Simulation
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Author : Mahdi Pourfath
language : en
Publisher: Springer
Release Date : 2014-07-05
The Non Equilibrium Green S Function Method For Nanoscale Device Simulation written by Mahdi Pourfath and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-05 with Technology & Engineering categories.
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.
Statistical Mechanics And The Physics Of Many Particle Model Systems
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Author : Alexander Leonidovich Kuzemsky
language : en
Publisher: World Scientific
Release Date : 2017-02-24
Statistical Mechanics And The Physics Of Many Particle Model Systems written by Alexander Leonidovich Kuzemsky and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-24 with Science categories.
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.
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.
The Green Function Method In Statistical Mechanics
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Author : V. L. Bonch-Bruevich
language : en
Publisher:
Release Date : 1979
The Green Function Method In Statistical Mechanics written by V. L. Bonch-Bruevich and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.
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.
Quantum Statistical Field Theory
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Author : Norman J. M. Horing
language : en
Publisher: Oxford University Press
Release Date : 2017
Quantum Statistical Field Theory written by Norman J. M. Horing and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Science categories.
The methods of coupled quantum field theory, which have played a major role in the extensive development of nonrelativistic quantum many-particle theory and condensed matter physics, are at the core of this book.
The Green Function Method In Statistical Mechanics
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Author : V. L. Bonch-Bruevich
language : en
Publisher:
Release Date : 1962
The Green Function Method In Statistical Mechanics written by V. L. Bonch-Bruevich and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Green's functions categories.
Green Functions In Electrochemistry
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Author : S. Romanowski
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Green Functions In Electrochemistry written by S. Romanowski 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 2012-12-06 with Science categories.
The book presents the method of thermodynamic Green Functions applied to the problems of electrochemistry. The basic theorems and their derivations are found at the didactic level which requires, however, a knowledge of the principles of quantum mechanics and statistical physics. The book is mainly based on the results of papers published during the last fifteen years by its authors and their coworkers from the Department of Theoretical Chemistry and the Department of Solid State Physics of the University ofL6di (poland) within the context of the results reported in literature. Although the Green Functions Method has become very popular in solid state physics, there are almost no applications of this technique to electrochemistry. The only papers where the Green Functions Method is applied to the molten salts and liquid mercury theory are the precursory works published by Professor S. G. Davison and his coworkers from the Waterloo University (Canada) in the early eighties. We hope that the present book can fill this gap in the electrochemical literature.
Green S Functions For Solid State Physicists
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Author : S Doniach
language : en
Publisher: World Scientific
Release Date : 1998-06-06
Green S Functions For Solid State Physicists written by S Doniach 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.