Statistical Mechanics And The Physics Of Many-particle Model Systems

Statistical Mechanics And The Physics Of Many-particle Model Systems PDF

Author: Kuzemsky Alexander Leonidovich

Publisher: World Scientific

Published: 2017-02-24

Total Pages: 1260

ISBN-13: 981314565X

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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

Statistical Mechanics and the Physics of Many-particle Model Systems PDF

Author: Aleksandr Leonidovich Kuzemskiĭ

Publisher:

Published: 2017

Total Pages: 1259

ISBN-13: 9789813145641

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"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

Statistical Field Theory PDF

Author: Giuseppe Mussardo

Publisher: Oxford University Press

Published: 2020-03-26

Total Pages: 1154

ISBN-13: 0191092177

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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.

Introduction to the Statistical Physics of Integrable Many-body Systems

Introduction to the Statistical Physics of Integrable Many-body Systems PDF

Author: Ladislav Šamaj

Publisher: Cambridge University Press

Published: 2013-05-16

Total Pages: 525

ISBN-13: 1107067669

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Including topics not traditionally covered in literature, such as (1+1)-dimensional QFT and classical 2D Coulomb gases, this book considers a wide range of models and demonstrates a number of situations to which they can be applied. Beginning with a treatise of nonrelativistic 1D continuum Fermi and Bose quantum gases of identical spinless particles, the book describes the quantum inverse scattering method and the analysis of the related Yang–Baxter equation and integrable quantum Heisenberg models. It also discusses systems within condensed matter physics, the complete solution of the sine-Gordon model and modern trends in the thermodynamic Bethe ansatz. Each chapter concludes with problems and solutions to help consolidate the reader's understanding of the theory and its applications. Basic knowledge of quantum mechanics and equilibrium statistical physics is assumed, making this book suitable for graduate students and researchers in statistical physics, quantum mechanics and mathematical and theoretical physics.

Statistical and Thermal Physics

Statistical and Thermal Physics PDF

Author: Harvey Gould

Publisher: Princeton University Press

Published: 2021-09-14

Total Pages: 528

ISBN-13: 0691230846

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A completely revised edition that combines a comprehensive coverage of statistical and thermal physics with enhanced computational tools, accessibility, and active learning activities to meet the needs of today's students and educators This revised and expanded edition of Statistical and Thermal Physics introduces students to the essential ideas and techniques used in many areas of contemporary physics. Ready-to-run programs help make the many abstract concepts concrete. The text requires only a background in introductory mechanics and some basic ideas of quantum theory, discussing material typically found in undergraduate texts as well as topics such as fluids, critical phenomena, and computational techniques, which serve as a natural bridge to graduate study. Completely revised to be more accessible to students Encourages active reading with guided problems tied to the text Updated open source programs available in Java, Python, and JavaScript Integrates Monte Carlo and molecular dynamics simulations and other numerical techniques Self-contained introductions to thermodynamics and probability, including Bayes' theorem A fuller discussion of magnetism and the Ising model than other undergraduate texts Treats ideal classical and quantum gases within a uniform framework Features a new chapter on transport coefficients and linear response theory Draws on findings from contemporary research Solutions manual (available only to instructors)

The Quantum Mechanics of Many-Body Systems

The Quantum Mechanics of Many-Body Systems PDF

Author: D.J. Thouless

Publisher: Courier Corporation

Published: 2014-01-15

Total Pages: 258

ISBN-13: 0486493571

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"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.

Quantum Statistical Mechanics

Quantum Statistical Mechanics PDF

Author: N N Bogolubov, Jr.

Publisher: World Scientific

Published: 2014-08-14

Total Pages: 328

ISBN-13: 9814612537

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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

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