Quantum Statistical Mechanics

Quantum Statistical Mechanics

Author: William C. Schieve

Publisher: Cambridge University Press

Published: 2009-04-16

Total Pages: 429

ISBN-13: 0521841461

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Introduces many-body theory of modern quantum statistical mechanics to graduate students in physics, chemistry, engineering and biology.


Introductory Applied Quantum and Statistical Mechanics

Introductory Applied Quantum and Statistical Mechanics

Author: Peter L. Hagelstein

Publisher: John Wiley & Sons

Published: 2004-03-25

Total Pages: 804

ISBN-13: 9780471202769

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* An applied focus for electrical engineers and materials scientists. * Theoretical results supported with real-world systems and applications. * Includes worked examples and self-study questions. * Solutions manual available.


Introduction to Quantum Statistical Mechanics

Introduction to Quantum Statistical Mechanics

Author: N. N. Bogolubov, Jr.

Publisher: World Scientific

Published: 2010

Total Pages: 439

ISBN-13: 9814295191

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Introduction to Quantum Statistical Mechanics (2nd Edition) may be used as an advanced textbook by graduate students, even ambitious undergraduates in physics. It is also suitable for non experts in physics who wish to have an overview of some of the classic and fundamental quantum models in the subject. The explanation in the book is detailed enough to capture the interest of the reader, and complete enough to provide the necessary background material needed to dwell further into the subject and explore the research literature.


Foundations of Classical and Quantum Statistical Mechanics

Foundations of Classical and Quantum Statistical Mechanics

Author: R. Jancel

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 441

ISBN-13: 1483186261

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Foundations of Classical and Quantum Statistical Mechanics details the theoretical foundation the supports the concepts in classical and quantum statistical mechanics. The title discusses the various problems set by the theoretical justification of statistical mechanics methods. The text first covers the the ergodic theory in classical statistical mechanics, and then proceeds to tackling quantum mechanical ensembles. Next, the selection discusses the the ergodic theorem in quantum statistical mechanics and probability quantum ergodic theorems. The selection also details H-theorems and kinetic equations in classical and quantum statistical mechanics. The book will be of great interest to students, researchers, and practitioners of physics, chemistry, and engineering.


Operator Algebras and Quantum Statistical Mechanics 1

Operator Algebras and Quantum Statistical Mechanics 1

Author: Ola Bratteli

Publisher: Springer Science & Business Media

Published: 1987

Total Pages: 528

ISBN-13: 9783540170938

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This is the first of two volumes presenting the theory of operator algebras with applications to quantum statistical mechanics. The authors' approach to the operator theory is to a large extent governed by the dictates of the physical applications. The book is self-contained and most proofs are presented in detail, which makes it a useful text for students with a knowledge of basic functional analysis. The introductory chapter surveys the history and justification of algebraic techniques in statistical physics and outlines the applications that have been made. The second edition contains new and improved results. The principal changes include: A more comprehensive discussion of dissipative operators and analytic elements; the positive resolution of the question of whether maximal orthogonal probability measure on the state space of C-algebra were automatically maximal along all the probability measures on the space.


Classical and Quantum Statistical Physics

Classical and Quantum Statistical Physics

Author: Carlo Heissenberg

Publisher: Cambridge University Press

Published: 2022-01-20

Total Pages: 383

ISBN-13: 1108844626

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Provides a detailed introduction to classical and quantum statistical physics, including modern applications within current research.


A Brief Introduction to Classical, Statistical, and Quantum Mechanics

A Brief Introduction to Classical, Statistical, and Quantum Mechanics

Author: Oliver Bühler

Publisher: American Mathematical Soc.

Published: 2006-10-12

Total Pages: 165

ISBN-13: 0821842323

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This book provides a rapid overview of the basic methods and concepts in mechanics for beginning Ph.D. students and advanced undergraduates in applied mathematics or related fields. It is based on a graduate course given in 2006-07 at the Courant Institute of Mathematical Sciences. Among other topics, the book introduces Newton's law, action principles, Hamilton-Jacobi theory, geometric wave theory, analytical and numerical statistical mechanics, discrete and continuous quantum mechanics, and quantum path-integral methods. The focus is on fundamental mathematical methods that provide connections between seemingly unrelated subjects. An example is Hamilton-Jacobi theory, which appears in the calculus of variations, in Fermat's principle of classical mechanics, and in the geometric theory of dispersive wavetrains. The material is developed in a sequence of simple examples and the book can be used in a one-semester class on classical, statistical, and quantum mechanics. Some familiarity with differential equations is required but otherwise the book is self-contained. In particular, no previous knowledge of physics is assumed. Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.


Annotations to Quantum Statistical Mechanics

Annotations to Quantum Statistical Mechanics

Author: In-Gee Kim

Publisher: CRC Press

Published: 2018-03-14

Total Pages: 258

ISBN-13: 1351767526

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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.