Statistical Mechanics And The Physics Of Many Particle Model Systems
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Statistical Mechanics And The Physics Of Many Particle Model Systems
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Author : Kuzemsky Alexander Leonidovich
language : en
Publisher: World Scientific
Release Date : 2017-02-24
Statistical Mechanics And The Physics Of Many Particle Model Systems written by Kuzemsky Alexander Leonidovich 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.
Statistical Mechanics And The Physics Of Many Particle Model Systems
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Author : Aleksandr Leonidovich Kuzemskiĭ
language : en
Publisher:
Release Date : 2017
Statistical Mechanics And The Physics Of Many Particle Model Systems written by Aleksandr Leonidovich Kuzemskiĭ and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Many-body problem 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."--Site Web de l'éditeur.
Statistical Field Theory
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Author : Giuseppe Mussardo
language : en
Publisher: Oxford University Press
Release Date : 2020-03-26
Statistical Field Theory written by Giuseppe Mussardo 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 2020-03-26 with Science categories.
Fundamental concepts of phase transitions, such as order parameters, spontaneous symmetry breaking, scaling transformations, conformal symmetry and anomalous dimensions, have deeply changed the modern vision of many areas of physics, leading to remarkable developments in statistical mechanics, elementary particle theory, condensed matter physics and string theory. This self-contained book provides a thorough introduction to the fascinating world of phase transitions and frontier topics of exactly solved models in statistical mechanics and quantum field theory, such as renormalization groups, conformal models, quantum integrable systems, duality, elastic S-matrices, thermodynamic Bethe ansatz and form factor theory. The clear discussion of physical principles is accompanied by a detailed analysis of several branches of mathematics distinguished for their elegance and beauty, including infinite dimensional algebras, conformal mappings, integral equations and modular functions. Besides advanced research themes, the book also covers many basic topics in statistical mechanics, quantum field theory and theoretical physics. Each argument is discussed in great detail while providing overall coherent understanding of physical phenomena. Mathematical background is made available in supplements at the end of each chapter, when appropriate. The chapters include problems of different levels of difficulty. Advanced undergraduate and graduate students will find this book a rich and challenging source for improving their skills and for attaining a comprehensive understanding of the many facets of the subject.
Modern Theories Of Many Particle Systems In Condensed Matter Physics
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Author : Daniel C. Cabra
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-05
Modern Theories Of Many Particle Systems In Condensed Matter Physics written by Daniel C. Cabra 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 2012-01-05 with Technology & Engineering categories.
Condensed matter systems where interactions are strong are inherently difficult to analyze theoretically. The situation is particularly interesting in low-dimensional systems, where quantum fluctuations play a crucial role. Here, the development of non-perturbative methods and the study of integrable field theory have facilitated the understanding of the behavior of many quasi one- and two-dimensional strongly correlated systems. In view of the same rapid development that has taken place for both experimental and numerical techniques, as well as the emergence of novel testing-grounds such as cold atoms or graphene, the current understanding of strongly correlated condensed matter systems differs quite considerably from standard textbook presentations. The present volume of lecture notes aims to fill this gap in the literature by providing a collection of authoritative tutorial reviews, covering such topics as quantum phase transitions of antiferromagnets and cuprate-based high-temperature superconductors, electronic liquid crystal phases, graphene physics, dynamical mean field theory applied to strongly correlated systems, transport through quantum dots, quantum information perspectives on many-body physics, frustrated magnetism, statistical mechanics of classical and quantum computational complexity, and integrable methods in statistical field theory. As both graduate-level text and authoritative reference on this topic, this book will benefit newcomers and more experienced researchers in this field alike.
Quantum Statistical Mechanics
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Author : N N Bogolubov, Jr.
language : en
Publisher: World Scientific
Release Date : 2014-08-14
Quantum Statistical Mechanics written by N N Bogolubov, Jr. and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-14 with Science categories.
In this book we have solved the complicated problem of constructing upper bounds for many-time averages for the case of a fairly broad class of model systems with four-fermion interaction. The methods proposed in this book for solving this problem will undoubtedly find application not only for the model systems associated with the theory of superconductivity considered here. The theoretical methods developed in Chapters 1 and 2 are already applicable to a much broader class of model systems from statistical physics and the theory of elementary particles. Contents:On the Theory of SuperfluidityQuasi-Averages in Problems of Statistical MechanicsHydrodynamics Equations in Statistical MechanicsOn the Hydrodynamics of a Superfluid LiquidOn the Model Hamiltonian of SuperconductivityModel Hamiltonians with Fermion Interaction Readership: For research scientists and graduate students working in the field of quantum statistical mechanics. Key Features:The book contains an exposition of very effective and powerful approach for practical applications techniques in quantum statistical mechanicsAll backgrounds, main mathematical approaches, techniques and derivations are presented in much detail that makes it possible to recommend the book as a manual for young researchersThe derivations are, in some sense, unique to both the problems studied and methods devised for their solutionsKeywords:Model Hamiltonians;Thermo-Dynamical Limit;Statistical Operator;Representation;Quasi-Averages
The Quantum Mechanics Of Many Body Systems
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Author : D.J. Thouless
language : en
Publisher: Courier Corporation
Release Date : 2014-01-15
The Quantum Mechanics Of Many Body Systems written by D.J. Thouless and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with Science categories.
"Unabridged republication of the second edition of the work, originally published in the Pure and applied physics series by Academic Press, Inc., New York, in 1972"--Title page verso.
Mathematical Foundations Of Quantum Statistical Mechanics
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Author : D.Y. Petrina
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematical Foundations Of Quantum Statistical Mechanics written by D.Y. Petrina 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.
This monograph is devoted to quantum statistical mechanics. It can be regarded as a continuation of the book "Mathematical Foundations of Classical Statistical Mechanics. Continuous Systems" (Gordon & Breach SP, 1989) written together with my colleagues V. I. Gerasimenko and P. V. Malyshev. Taken together, these books give a complete pre sentation of the statistical mechanics of continuous systems, both quantum and classical, from the common point of view. Both books have similar contents. They deal with the investigation of states of in finite systems, which are described by infinite sequences of statistical operators (reduced density matrices) or Green's functions in the quantum case and by infinite sequences of distribution functions in the classical case. The equations of state and their solutions are the main object of investigation in these books. For infinite systems, the solutions of the equations of state are constructed by using the thermodynamic limit procedure, accord ing to which we first find a solution for a system of finitely many particles and then let the number of particles and the volume of a region tend to infinity keeping the density of particles constant. However, the style of presentation in these books is quite different.
Statistical Physics And Dynamical Systems
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Author : FRITZ
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-22
Statistical Physics And Dynamical Systems written by FRITZ 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 2013-11-22 with Science categories.
Quantum Theory Of Many Variable Systems And Fields
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Author : B Sakita
language : en
Publisher: World Scientific Publishing Company
Release Date : 1985-09-01
Quantum Theory Of Many Variable Systems And Fields written by B Sakita and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-09-01 with Science categories.
These lecture notes are based on special courses on Field Theory and Statistical Mechanics given for graduate students at the City College of New York. It is an ideal text for a one-semester course on Quantum Field Theory.
Applications Of Field Theory Methods In Statistical Physics Of Nonequilibrium Systems
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Author : Bohdan I Lev
language : en
Publisher: World Scientific
Release Date : 2021-02-18
Applications Of Field Theory Methods In Statistical Physics Of Nonequilibrium Systems written by Bohdan I Lev and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-18 with Science categories.
This book formulates a unified approach to the description of many-particle systems combining the methods of statistical physics and quantum field theory. The benefits of such an approach are in the description of phase transitions during the formation of new spatially inhomogeneous phases, as well in describing quasi-equilibrium systems with spatially inhomogeneous particle distributions (for example, self-gravitating systems) and metastable states.The validity of the methods used in the statistical description of many-particle systems and models (theory of phase transitions included) is discussed and compared. The idea of using the quantum field theory approach and related topics (path integration, saddle-point and stationary-phase methods, Hubbard-Stratonovich transformation, mean-field theory, and functional integrals) is described in detail to facilitate further understanding and explore more applications.To some extent, the book could be treated as a brief encyclopedia of methods applicable to the statistical description of spatially inhomogeneous equilibrium and metastable particle distributions. Additionally, the general approach is not only formulated, but also applied to solve various practically important problems (gravitating gas, Coulomb-like systems, dusty plasmas, thermodynamics of cellular structures, non-uniform dynamics of gravitating systems, etc.).