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Operator Algebras and Quantum Statistical Mechanics 1, Ola Bratteli; Derek William Robinson


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Автор: Ola Bratteli; Derek William Robinson
Название:  Operator Algebras and Quantum Statistical Mechanics 1
ISBN: 9783642057366
Издательство: Springer
Классификация: ISBN-10: 3642057365
Обложка/Формат: Paperback
Страницы: 506
Вес: 0.72 кг.
Дата издания: 19.10.2010
Серия: Theoretical and Mathematical Physics
Язык: English
Размер: 234 x 156 x 27
Основная тема: Engineering
Подзаголовок: C*- and W*-Algebras. Symmetry Groups. Decomposition of States
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: In this book we describe the elementary theory of operator algebras and parts of the advanced theory which are of relevance, or potentially of relevance, to mathematical physics. Subsequently we describe various applications to quantum statistical mechanics. At the outset of this project we intended to cover this material in one volume but in the course of develop- ment it was realized that this would entail the omission ofvarious interesting topics or details. Consequently the book was split into two volumes, the first devoted to the general theory of operator algebras and the second to the applications. This splitting into theory and applications is conventional but somewhat arbitrary. In the last 15-20 years mathematical physicists have realized the importance of operator algebras and their states and automorphisms for problems of field theory and statistical mechanics. But the theory of 20 years aga was largely developed for the analysis of group representations and it was inadequate for many physical applications. Thus after a short honey- moon period in which the new found tools of the extant theory were applied to the most amenable problems a longer and more interesting period ensued in which mathematical physicists were forced to redevelop the theory in relevant directions. New concepts were introduced, e. g. asymptotic abelian- ness and KMS states, new techniques applied, e. g. the Choquet theory of barycentric decomposition for states, and new structural results obtained, e. g. the existence of a continuum of nonisomorphic type-three factors.

Statistical Learning for Biomedical Data

Автор: Malley
Название: Statistical Learning for Biomedical Data
ISBN: 0521699096 ISBN-13(EAN): 9780521699099
Издательство: Cambridge Academ
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Цена: 43290.00 T
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Описание: Biomedical researchers need machine learning techniques to make predictions such as survival/death or response to treatment when data sets are large and complex. This highly motivating introduction to these machines explains underlying principles in nontechnical language, using many examples and figures, and connects these new methods to familiar techniques.

The Thermodynamic Pressure in Quantum Statistical Mechanics

Автор: D. W. Robinson
Название: The Thermodynamic Pressure in Quantum Statistical Mechanics
ISBN: 3540056408 ISBN-13(EAN): 9783540056409
Издательство: Springer
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Цена: 78350.00 T
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Statistical Mechanics,

Автор: R K Pathria
Название: Statistical Mechanics,
ISBN: 0123821886 ISBN-13(EAN): 9780123821881
Издательство: Elsevier Science
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Цена: 64800.00 T
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Описание: Statistical Mechanics explores the physical properties of matter based on the dynamic behavior of its microscopic constituents. After a historical introduction, this book presents chapters about thermodynamics, ensemble theory, simple gases theory, Ideal Bose and Fermi systems, statistical mechanics of interacting systems, phase transitions, and computer simulations. This edition includes new topics such as BoseEinstein condensation and degenerate Fermi gas behavior in ultracold atomic gases and chemical equilibrium. It also explains the correlation functions and scattering; fluctuationdissipation theorem and the dynamical structure factor; phase equilibrium and the Clausius-Clapeyron equation; and exact solutions of one-dimensional fluid models and two-dimensional Ising model on a finite lattice. New topics can be found in the appendices, including finite-size scaling behavior of Bose-Einstein condensates, a summary of thermodynamic assemblies and associated statistical ensembles, and pseudorandom number generators. Other chapters are dedicated to two new topics, the thermodynamics of the early universe and the Monte Carlo and molecular dynamics simulations. This book is invaluable to students and practitioners interested in statistical mechanics and physics.

Operator Algebras and Quantum Statistical Mechanics

Автор: Ola Bratteli; Derek William Robinson
Название: Operator Algebras and Quantum Statistical Mechanics
ISBN: 3642082572 ISBN-13(EAN): 9783642082573
Издательство: Springer
Рейтинг:
Цена: 113180.00 T
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Описание: For almost two decades this has been the classical textbook on applications of operator algebra theory to quantum statistical physics. It describes the general structure of equilibrium states, the KMS-condition and stability, quantum spin systems and continuous systems.
Major changes in the new edition relate to Bose--Einstein condensation, the dynamics of the X-Y model and questions on phase transitions. Notes and remarks have been considerably augmented.

An Introduction to Multivariate Statistical Analysis, Third Edition

Автор: T. W. Anderson
Название: An Introduction to Multivariate Statistical Analysis, Third Edition
ISBN: 0471360910 ISBN-13(EAN): 9780471360919
Издательство: Wiley
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Цена: 184750.00 T
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Описание: Uses the method of maximum likelihood to a large extent to ensure reasonable, and in some cases optimal procedures. This work treats the basic and important topics in multivariate statistics.

The Ruelle-Araki Transfer Operator in Classical Statistical Mechanics

Автор: D.H. Mayer
Название: The Ruelle-Araki Transfer Operator in Classical Statistical Mechanics
ISBN: 3540099905 ISBN-13(EAN): 9783540099901
Издательство: Springer
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Цена: 78350.00 T
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Projection Operator Techniques in Nonequilibrium Statistical Mechanics

Автор: H. Grabert
Название: Projection Operator Techniques in Nonequilibrium Statistical Mechanics
ISBN: 3662157683 ISBN-13(EAN): 9783662157688
Издательство: Springer
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Цена: 87070.00 T
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Physical Chemistry: Statistical Mechanics

Автор: Horia Metiu
Название: Physical Chemistry: Statistical Mechanics
ISBN: 0815340850 ISBN-13(EAN): 9780815340850
Издательство: Taylor&Francis
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Цена: 38780.00 T
Наличие на складе: Нет в наличии.
Описание: Physical Chemistry is a new undergraduate textbook by Horia Metiu published as four separate paperback volumes. These four volumes combine a clear and thorough presentation of the theoretical and mathematical aspects of the subject with examples and applications drawn from current industrial and academic research. By using the computer to

Collected Papers Vol.1: Quantum Field Theory and Statistical Mechanics

Автор: James Glimm; Arthur Jaffe
Название: Collected Papers Vol.1: Quantum Field Theory and Statistical Mechanics
ISBN: 1461254175 ISBN-13(EAN): 9781461254171
Издательство: Springer
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Цена: 104480.00 T
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Описание: Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 325 Critical point dominance in quantum field models. . . . . . . . . . . . . . . . . . . . 326 q>, ' quantum field model in the single-phase regions: Differentiability of the mass and bounds on critical exponents. . . . 341 Remark on the existence of q>: . . . - . . . . - . . . . - . . . . . . . . - . - . . . . . . . . . . - . 345 On the approach to the critical point . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 348 Critical exponents and elementary particles. . . . . . . . . . . . . . . . . . . . . . . . . . 362 V Particle Structure Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 371 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 371 The entropy principle for vertex functions in quantum field models. . . . . 372 Three-particle structure of q>4 interactions and the scaling limit . . . . . . . . . 397 Two and three body equations in quantum field models. . . . . . . . . . . . . . . 409 Particles and scaling for lattice fields and Ising models. . . . . . . . . . . . . . . . 437 The resummation of one particle lines. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 450 VI Bounds on Coupling Constants Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 479 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 479 Absolute bounds on vertices and couplings. . . . . . . . . . . . . . . . . . . . . . . . . . 480 The coupling constant in a q>4 field theory. . . . . . . . . . . . . . . . . . . . . . . . . . . 491 VII Confinement and Instantons Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 497 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 497 Instantons in a U(I) lattice gauge theory: A coulomb dipole gas. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 498 Charges, vortices and confinement. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 516 ix VIII Reflection Positivity Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 531 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 531 A note on reflection positivity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 532 x Introduction This volume contains a selection of expository articles on quantum field theory and statistical mechanics by James Glimm and Arthur Jaffe. They include a solution of the original interacting quantum field equations and a description of the physics which these equations contain. Quantum fields were proposed in the late 1920s as the natural framework which combines quantum theory with relativ- ity. They have survived ever since.

Formulation of Statistical Mechanics Based on Thermal Pure Quantum States

Автор: Sho Sugiura
Название: Formulation of Statistical Mechanics Based on Thermal Pure Quantum States
ISBN: 9811015058 ISBN-13(EAN): 9789811015052
Издательство: Springer
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Цена: 102480.00 T
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Описание: This thesis introduces the concept of "thermal pure quantum (TPQ) states", which are pure quantum states in equilibrium.

Quantum Statistical Mechanics in the Natural Sciences

Автор: Stephan Mintz
Название: Quantum Statistical Mechanics in the Natural Sciences
ISBN: 1461345340 ISBN-13(EAN): 9781461345343
Издательство: Springer
Рейтинг:
Цена: 46570.00 T
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Описание: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Gauge Theories as a Problem of Constructive Quantum Field Theory and Statistical Mechanics

Автор: E. Seiler
Название: Gauge Theories as a Problem of Constructive Quantum Field Theory and Statistical Mechanics
ISBN: 3662135205 ISBN-13(EAN): 9783662135204
Издательство: Springer
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Цена: 78350.00 T
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