Greens Functions Technique For Statistical Ensembles

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Green’s Functions in Quantum Physics

Author : Eleftherios N. Economou
Publisher : Springer Science & Business Media
ISBN 13 : 3662023695
Total Pages : 325 pages
Book Rating : 4.6/5 (62 download)

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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.

The Green Function Method in Statistical Mechanics

Author : V.L. Bonch-Bruevich
Publisher : Courier Dover Publications
ISBN 13 : 0486797155
Total Pages : 276 pages
Book Rating : 4.4/5 (867 download)

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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.

The Non-Equilibrium Green's Function Method for Nanoscale Device Simulation

Author : Mahdi Pourfath
Publisher : Springer
ISBN 13 : 370911800X
Total Pages : 268 pages
Book Rating : 4.7/5 (91 download)

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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.

Quantum Statistical Mechanics

Author : William C. Schieve
Publisher : Cambridge University Press
ISBN 13 : 0521841461
Total Pages : 429 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Quantum Statistical Mechanics by : William C. Schieve

Download or read book Quantum Statistical Mechanics written by William C. Schieve and published by Cambridge University Press. This book was released on 2009-04-16 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces many-body theory of modern quantum statistical mechanics to graduate students in physics, chemistry, engineering and biology.

Annotations to Quantum Statistical Mechanics

Author : In-Gee Kim
Publisher : CRC Press
ISBN 13 : 1351767526
Total Pages : 258 pages
Book Rating : 4.3/5 (517 download)

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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.

Quantum Statistical Field Theory

Author : Norman J. M. Horing
Publisher : Oxford University Press
ISBN 13 : 0198791941
Total Pages : 453 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis Quantum Statistical Field Theory by : Norman J. M. Horing

Download or read book Quantum Statistical Field Theory written by Norman J. M. Horing and published by Oxford University Press. This book was released on 2017 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Statistical Mechanics

Author : Leo P. Kadanoff
Publisher : CRC Press
ISBN 13 : 0429972849
Total Pages : 90 pages
Book Rating : 4.4/5 (299 download)

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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 90 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.

Progress in Nonequilibrium Green's Functions

Author : Michael Bonitz
Publisher : World Scientific
ISBN 13 : 9789810242183
Total Pages : 594 pages
Book Rating : 4.2/5 (421 download)

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Book Synopsis Progress in Nonequilibrium Green's Functions by : Michael Bonitz

Download or read book Progress in Nonequilibrium Green's Functions written by Michael Bonitz and published by World Scientific. This book was released on 2000 with total page 594 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, Jrn Kuoll, Dietrich Kremp, Pavel Lipavsky and Paul C Martin.

Liquid Glass Transition

Author : Toyoyuki Kitamura
Publisher : Newnes
ISBN 13 : 0124071708
Total Pages : 401 pages
Book Rating : 4.1/5 (24 download)

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Book Synopsis Liquid Glass Transition by : Toyoyuki Kitamura

Download or read book Liquid Glass Transition written by Toyoyuki Kitamura and published by Newnes. This book was released on 2012-12-31 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: A glass is disordered material like a viscous liquid and behaves mechanically like a solid. A glass is normally formed by supercooling the viscous liquid fast enough to avoid crystallization, and the liquid-glass transition occurs in diverse manners depending on the materials, their history, and the supercooling processes, among other factors. The glass transition in colloids, molecular systems, and polymers is studied worldwide. This book presents a unified theory of the liquid-glass transition on the basis of the two band model from statistical quantum field theory associated with the temperature Green's function method. It is firmly original in its approach and will be of interest to researchers and students specializing in the glass transition across the physical sciences. - Examines key theoretical problems of the liquid-glass transition and related phenomena - Clarifies the mechanism and the framework of the liquid-glass transition

Statistical Physics II

Author : Morikazu Toda
Publisher : Springer Science & Business Media
ISBN 13 : 9783540538332
Total Pages : 304 pages
Book Rating : 4.5/5 (383 download)

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Book Synopsis Statistical Physics II by : Morikazu Toda

Download or read book Statistical Physics II written by Morikazu Toda and published by Springer Science & Business Media. This book was released on 1991 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Physics II introduces nonequilibrium theories of statistical mechanics from the viewpoint of the fluctuation-disipation theorem. Emphasis is placed on the relaxation from nonequilibrium to equilibrium states, the response of a system to an external disturbance, and general problems involved in deriving a macroscopic physical process from more basic underlying processes. Fundamental concepts and methods are stressed, rather than the numerous individual applications.

Quantum Field Theory

Author : Arthur Jaffe
Publisher : Springer Science & Business Media
ISBN 13 : 3642703070
Total Pages : 328 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Quantum Field Theory by : Arthur Jaffe

Download or read book Quantum Field Theory written by Arthur Jaffe and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kurt Symanzik was certainly one of the most outstanding theoretical physicists of our time. For thirty years, until his untimely death in 1983, he helped to shape the present form of quantum field theory and its application to elementary particle physics. In memoriam of Kurt" Symanzik leading scientists present their most recent results, giving, at the same time, an overview of the state of the art. This collection was originally published in Vol. 97, 1/2 (1985) of Communications in Mathematical Physics. They range over various inter related topics of interest to Kurt Symanzik. We hope that making this collection available in an accessible and inexpensive way will benefit the physics community. The Publisher Contents To the Memory of Kurt Symanzik 1 By A. Jaffe, H. Lehmann, and G. Mack Monte Carlo Simulations for Quantum Field Theories Involving Fermions. By M. Karowski, R. Schrader, and H. J. Thun (With 8 Figures) . . . . . . . . . . . . . . . . . . . 5 SU(2) Lattice Gauge Theory: Standard Action Versus Symanzik's Tree-Improved Action. By B. Berg, A. Billoire, S. Meyer, and C. Panagiotakopoulos (With 13 Figures). . . . . . . . . . 31 . On-shell Improved Lattice Gauge Theories By M. Luscher and P. Weisz (With 3 Figures) . . . . . 59 On the Modular Structure of Local Algebras of Observables By K. Fredenhagen . . . . . . . . . . . . . . . . . 79 . . . The Intersection of Brownian Paths as a Case Study of a Renormalization Group Method for Quantum Field Theory By M. Aizenman (With 3 Figures). . . . . . . . . . . . 91 Intersection Properties of Simple Random Walks: A Renormalization Group Approach. By G. Felder and J. Frohlich. . . . . . . 111 .

Statistical Physics II

Author : R. Kubo
Publisher : Springer Science & Business Media
ISBN 13 : 3642967019
Total Pages : 294 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis Statistical Physics II by : R. Kubo

Download or read book Statistical Physics II written by R. Kubo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of Statistical Physics consititutes the second part of Statistical Physics (Springer Series in Solid-State Science, Vols. 30, 31) and is devoted to nonequilibrium theories of statistical mechanics. We start with an intro duction to the stochastic treatment of Brownian motion and then proceed to general problems involved in deriving a physical process from an underlying more basic process. Relaxation from nonequilibrium to equilibrium states and the response of a system to an external disturbance form the central problems of nonequilibrium statistical mechanics. These problems are treated both phenomenologically and microscopically along the lines of re cent developments. Emphasis is placed on fundamental concepts and methods rather than on applications which are too numerous to be treated exhaustively within the limited space of this volume. For information on the general aim of this book, the reader is referred to the Foreword. For further reading, the reader should consult the bibliographies, although these are not meant to be exhaustive.

Theory of Electron Transport in Semiconductors

Author : Carlo Jacoboni
Publisher : Springer Science & Business Media
ISBN 13 : 3642105866
Total Pages : 590 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Theory of Electron Transport in Semiconductors by : Carlo Jacoboni

Download or read book Theory of Electron Transport in Semiconductors written by Carlo Jacoboni and published by Springer Science & Business Media. This book was released on 2010-09-05 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book originated out of a desire to provide students with an instrument which might lead them from knowledge of elementary classical and quantum physics to moderntheoreticaltechniques for the analysisof electrontransport in semiconductors. The book is basically a textbook for students of physics, material science, and electronics. Rather than a monograph on detailed advanced research in a speci?c area, it intends to introduce the reader to the fascinating ?eld of electron dynamics in semiconductors, a ?eld that, through its applications to electronics, greatly contributed to the transformationof all our lives in the second half of the twentieth century, and continues to provide surprises and new challenges. The ?eld is so extensive that it has been necessary to leave aside many subjects, while others could be dealt with only in terms of their basic principles. The book is divided into ?ve major parts. Part I moves from a survey of the fundamentals of classical and quantum physics to a brief review of basic semiconductor physics. Its purpose is to establish a common platform of language and symbols, and to make the entire treatment, as far as pos- ble, self-contained. Parts II and III, respectively, develop transport theory in bulk semiconductors in semiclassical and quantum frames. Part IV is devoted to semiconductor structures, including devices and mesoscopic coherent s- tems. Finally, Part V develops the basic theoretical tools of transport theory within the modern nonequilibrium Green-function formulation, starting from an introduction to second-quantization formalism.

Scattering, Two-Volume Set

Author : E. R. Pike
Publisher : Elsevier
ISBN 13 : 0080540732
Total Pages : 1831 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Scattering, Two-Volume Set by : E. R. Pike

Download or read book Scattering, Two-Volume Set written by E. R. Pike and published by Elsevier. This book was released on 2001-10-09 with total page 1831 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scattering is the collision of two objects that results in a change of trajectory and energy. For example, in particle physics, such as electrons, photons, or neutrons are "scattered off" of a target specimen, resulting in a different energy and direction. In the field of electromagnetism, scattering is the random diffusion of electromagnetic radiation from air masses is an aid in the long-range sending of radio signals over geographic obstacles such as mountains. This type of scattering, applied to the field of acoustics, is the spreading of sound in many directions due to irregularities in the transmission medium. Volume I of Scattering will be devoted to basic theoretical ideas, approximation methods, numerical techniques and mathematical modeling. Volume II will be concerned with basic experimental techniques, technological practices, and comparisons with relevant theoretical work including seismology, medical applications, meteorological phenomena and astronomy. This reference will be used by researchers and graduate students in physics, applied physics, biophysics, chemical physics, medical physics, acoustics, geosciences, optics, mathematics, and engineering. This is the first encyclopedic-range work on the topic of scattering theory in quantum mechanics, elastodynamics, acoustics, and electromagnetics. It serves as a comprehensive interdisciplinary presentation of scattering and inverse scattering theory and applications in a wide range of scientific fields, with an emphasis, and details, up-to-date developments. Scattering also places an emphasis on the problems that are still in active current research. The first interdisciplinary reference source on scattering to gather all world expertise in this technique Covers the major aspects of scattering in a common language, helping to widening the knowledge of researchers across disciplines The list of editors, associate editors and contributors reads like an international Who's Who in the interdisciplinary field of scattering

Statistical Mechanics And The Physics Of Many-particle Model Systems

Author : Alexander Leonidovich Kuzemsky
Publisher : World Scientific
ISBN 13 : 981314565X
Total Pages : 1259 pages
Book Rating : 4.8/5 (131 download)

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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.

Monte Carlo Methods in Chemical Physics

Author : David M. Ferguson
Publisher : John Wiley & Sons
ISBN 13 : 0470142170
Total Pages : 576 pages
Book Rating : 4.4/5 (71 download)

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Book Synopsis Monte Carlo Methods in Chemical Physics by : David M. Ferguson

Download or read book Monte Carlo Methods in Chemical Physics written by David M. Ferguson and published by John Wiley & Sons. This book was released on 2009-09-09 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Monte Carlo Methods in Chemical Physics: An Introduction to the Monte Carlo Method for Particle Simulations J. Ilja Siepmann Random Number Generators for Parallel Applications Ashok Srinivasan, David M. Ceperley and Michael Mascagni Between Classical and Quantum Monte Carlo Methods: "Variational" QMC Dario Bressanini and Peter J. Reynolds Monte Carlo Eigenvalue Methods in Quantum Mechanics and Statistical Mechanics M. P. Nightingale and C.J. Umrigar Adaptive Path-Integral Monte Carlo Methods for Accurate Computation of Molecular Thermodynamic Properties Robert Q. Topper Monte Carlo Sampling for Classical Trajectory Simulations Gilles H. Peslherbe Haobin Wang and William L. Hase Monte Carlo Approaches to the Protein Folding Problem Jeffrey Skolnick and Andrzej Kolinski Entropy Sampling Monte Carlo for Polypeptides and Proteins Harold A. Scheraga and Minh-Hong Hao Macrostate Dissection of Thermodynamic Monte Carlo Integrals Bruce W. Church, Alex Ulitsky, and David Shalloway Simulated Annealing-Optimal Histogram Methods David M. Ferguson and David G. Garrett Monte Carlo Methods for Polymeric Systems Juan J. de Pablo and Fernando A. Escobedo Thermodynamic-Scaling Methods in Monte Carlo and Their Application to Phase Equilibria John Valleau Semigrand Canonical Monte Carlo Simulation: Integration Along Coexistence Lines David A. Kofke Monte Carlo Methods for Simulating Phase Equilibria of Complex Fluids J. Ilja Siepmann Reactive Canonical Monte Carlo J. Karl Johnson New Monte Carlo Algorithms for Classical Spin Systems G. T. Barkema and M.E.J. Newman

Lattice Gauge Theories: An Introduction (Second Edition)

Author : Heinz J Rothe
Publisher : World Scientific Publishing Company
ISBN 13 : 9813105046
Total Pages : 530 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Lattice Gauge Theories: An Introduction (Second Edition) by : Heinz J Rothe

Download or read book Lattice Gauge Theories: An Introduction (Second Edition) written by Heinz J Rothe and published by World Scientific Publishing Company. This book was released on 1997-06-09 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader to an area of elementary particle physics which has been the subject of intensive research in the past two decades. It provides graduate students with the basic theoretical background on quantum gauge field theories formulated on a space-time lattice, and with the computational tools for carrying out research in this field. The book is a substantially extended version of the first edition which appeared in 1992. Much effort has been invested to present the material in a transparent way, and in exemplifying subtle points in simple models. The material covered should enable the reader to follow the vast literature on the subject without too much difficulties. Hopefully the book will motivate young physicists to carry out research in this area of elementary particle physics.