Introduction to Quantum Statistical Mechanics

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Author :
Publisher : World Scientific
ISBN 13 : 9814295191
Total Pages : 439 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Introduction to Quantum Statistical Mechanics by : N. N. Bogolubov, Jr.

Download or read book Introduction to Quantum Statistical Mechanics written by N. N. Bogolubov, Jr. and published by World Scientific. This book was released on 2010 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Annotations to Quantum Statistical Mechanics

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Author :
Publisher : CRC Press
ISBN 13 : 1351767518
Total Pages : 348 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 348 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.

Annotations to Quantum Statistical Mechanics

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Author :
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.

Statistical Approach to Quantum Field Theory

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Author :
Publisher : Springer
ISBN 13 : 9783642331046
Total Pages : 390 pages
Book Rating : 4.3/5 (31 download)

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Book Synopsis Statistical Approach to Quantum Field Theory by : Andreas Wipf

Download or read book Statistical Approach to Quantum Field Theory written by Andreas Wipf and published by Springer. This book was released on 2012-10-29 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past few decades the powerful methods of statistical physics and Euclidean quantum field theory have moved closer together, with common tools based on the use of path integrals. The interpretation of Euclidean field theories as particular systems of statistical physics has opened up new avenues for understanding strongly coupled quantum systems or quantum field theories at zero or finite temperatures. Accordingly, the first chapters of this book contain a self-contained introduction to path integrals in Euclidean quantum mechanics and statistical mechanics. The resulting high-dimensional integrals can be estimated with the help of Monte Carlo simulations based on Markov processes. The most commonly used algorithms are presented in detail so as to prepare the reader for the use of high-performance computers as an “experimental” tool for this burgeoning field of theoretical physics. Several chapters are then devoted to an introduction to simple lattice field theories and a variety of spin systems with discrete and continuous spins, where the ubiquitous Ising model serves as an ideal guide for introducing the fascinating area of phase transitions. As an alternative to the lattice formulation of quantum field theories, variants of the flexible renormalization group methods are discussed in detail. Since, according to our present-day knowledge, all fundamental interactions in nature are described by gauge theories, the remaining chapters of the book deal with gauge theories without and with matter. This text is based on course-tested notes for graduate students and, as such, its style is essentially pedagogical, requiring only some basics of mathematics, statistical physics, and quantum field theory. Yet it also contains some more sophisticated concepts which may be useful to researchers in the field. Each chapter ends with a number of problems – guiding the reader to a deeper understanding of some of the material presented in the main text – and, in most cases, also features some listings of short, useful computer programs.

C*-Algebras and Mathematical Foundations of Quantum Statistical Mechanics

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Author :
Publisher : Springer Nature
ISBN 13 : 3031289498
Total Pages : 497 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis C*-Algebras and Mathematical Foundations of Quantum Statistical Mechanics by : Jean-Bernard Bru

Download or read book C*-Algebras and Mathematical Foundations of Quantum Statistical Mechanics written by Jean-Bernard Bru and published by Springer Nature. This book was released on 2023-06-16 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a comprehensive introduction to the mathematical foundations of quantum statistical physics. It presents a conceptually profound yet technically accessible path to the C*-algebraic approach to quantum statistical mechanics, demonstrating how key aspects of thermodynamic equilibrium can be derived as simple corollaries of classical results in convex analysis. Using C*-algebras as examples of ordered vector spaces, this book makes various aspects of C*-algebras and their applications to the mathematical foundations of quantum theory much clearer from both mathematical and physical perspectives. It begins with the simple case of Gibbs states on matrix algebras and gradually progresses to a more general setting that considers the thermodynamic equilibrium of infinitely extended quantum systems. The book also illustrates how first-order phase transitions and spontaneous symmetry breaking can occur, in contrast to the finite-dimensional situation. One of the unique features of this book is its thorough and clear treatment of the theory of equilibrium states of quantum mean-field models. This work is self-contained and requires only a modest background in analysis, topology, and functional analysis from the reader. It is suitable for both mathematicians and physicists with a specific interest in quantum statistical physics.

Quantum Statistical Thermodynamics

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Publisher : Springer
ISBN 13 : 9789402415230
Total Pages : 781 pages
Book Rating : 4.4/5 (152 download)

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Book Synopsis Quantum Statistical Thermodynamics by : Keh-Ning Huang

Download or read book Quantum Statistical Thermodynamics written by Keh-Ning Huang and published by Springer. This book was released on 2019-07-22 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: This extensive reference text summarizes the concepts and mathematical methods that are required to provide a firm foundation for advanced studies in quantum thermal physics, which underlies all current mesoscopic sciences. The book introduces the mathematical language and fundamental physical concepts on which the entire subject of quantum statistical mechanics has been developed. Starting from the essential mathematical concepts, definitions, theorems, and formulas for the understanding and application of quantum statistical mechanics and physical sciences in general, the author provides pedagogical annotations to introduce new insights not to be found in traditional mathematics handbooks. Each chapter is completed with a set of further reading references which contain more complete treatment of the subjects described. This comprehensive volume will serve as a text throughout advanced studies in quantum statistical physics and beyond, and as a reference for researchers in all fields of physics.

Quantum Statistical Mechanics

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Author :
Publisher : CRC Press
ISBN 13 : 0429961766
Total Pages : 224 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 224 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.

A Brief Introduction to Classical, Statistical, and Quantum Mechanics

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821883532
Total Pages : 178 pages
Book Rating : 4.8/5 (835 download)

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Book Synopsis A Brief Introduction to Classical, Statistical, and Quantum Mechanics by : Oliver Bühler

Download or read book A Brief Introduction to Classical, Statistical, and Quantum Mechanics written by Oliver Bühler and published by American Mathematical Soc.. This book was released on 2006 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Statistical Physics

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Author :
Publisher : Springer
ISBN 13 : 3540430202
Total Pages : 536 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Statistical Physics by : Josef Honerkamp

Download or read book Statistical Physics written by Josef Honerkamp and published by Springer. This book was released on 2002-06-10 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is divided into two parts. The first part looks at the modeling of statistical systems before moving on to an analysis of these systems. This second edition contains new material on: estimators based on a probability distribution for the parameters; identification of stochastic models from observations; and statistical tests and classification methods.

Quantum Statistical Mechanics and Lie Group Harmonic Analysis

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Author :
Publisher : Math Science Press
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Quantum Statistical Mechanics and Lie Group Harmonic Analysis by : Norman Hurt

Download or read book Quantum Statistical Mechanics and Lie Group Harmonic Analysis written by Norman Hurt and published by Math Science Press. This book was released on 1980 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Microstates, Entropy and Quanta

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Publisher : Springer
ISBN 13 : 3030024296
Total Pages : 541 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Microstates, Entropy and Quanta by : Don Koks

Download or read book Microstates, Entropy and Quanta written by Don Koks and published by Springer. This book was released on 2019-01-25 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical mechanics: the bane of many a physics student, and traditionally viewed as a long parade of ensembles, partition functions, and partial derivatives. But the subject needn't be arcane. When pared back to its underlying concepts and built from the ground up, statistical mechanics takes on a charm of its own, and sheds light on all manner of physical phenomena. This book presents a straightforward introduction to the key concepts in statistical mechanics, following the popular style of the author's highly successful textbook "Explorations in Mathematical Physics". Offering a clear, conceptual approach to the subject matter, the book presents a treatment that is mathematically complete, while remaining very accessible to undergraduates. It commences by asking: why does an ink drop spread out in a bathtub of water? This showcases the importance of counting configurations, which leads naturally to ideas of microstates, energy, entropy, thermodynamics, and physical chemistry. With this foundation, the Boltzmann distribution writes itself in its fullest form, and this opens the door to the Maxwell distribution and related areas of thermal conductivity and viscosity. Quantum ideas then appear: bosons via Einstein's and Debye's theories of heat capacity, and fermions via electrical conduction and low-temperature heat capacity of metals. The text ends with a detailed derivation of blackbody radiation, and uses this to discuss the greenhouse effect, lasers, and cosmology. Suitable for use with core undergraduate courses in statistical mechanics and thermodynamics, this book concentrates on using solid mathematics, while avoiding cumbersome notation. All the necessary mathematical steps are included in the body of the text and in the worked examples. Reviews of Explorations in Mathematical Physics by Don Koks, 2006 "With enjoyable and sometimes surprising excursions along the way, the journey provides a fresh look at many familiar topics, as it takes us from basic linear mathematics to general relativity... look forward to having your geometric intuition nourished and expanded by the author's intelligent commentaries." (Eugen Merzbacher, University of North Carolina) "... an interesting supplement to standard texts for teaching mathematical methods in physics, as it will add alternative views that could serve as additional material." (S. Marcelja, Australian Journal of Physics) "... a tour through the main ideas forming the language of modern mathematical physics ...it is a difficult task for the author to decide what is a good balance between the topics and their presentation, but in this case it has been achieved. ...for those physicists who would like to be exposed to clear motivation and careful explanation of the basics of the present-day apparatus of mathematical physics." (Ivailo Mladenov, Mathematical Reviews).

Modern Physics

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Publisher : Springer Nature
ISBN 13 : 3030937437
Total Pages : 197 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Modern Physics by : Luca Salasnich

Download or read book Modern Physics written by Luca Salasnich and published by Springer Nature. This book was released on 2022-02-17 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an introduction to statistical mechanics, special relativity, and quantum physics. It is based on the lecture notes prepared for the one-semester course of "Quantum Physics" belonging to the Bachelor of Science in Material Sciences at the University of Padova. The first chapter briefly reviews the ideas of classical statistical mechanics introduced by James Clerk Maxwell, Ludwig Boltzmann, Willard Gibbs, and others. The second chapter is devoted to the special relativity of Albert Einstein. In the third chapter, it is historically analyzed the quantization of light due to Max Planck and Albert Einstein, while the fourth chapter discusses the Niels Bohr quantization of the energy levels and the electromagnetic transitions. The fifth chapter investigates the Schrodinger equation, which was obtained by Erwin Schrodinger from the idea of Louis De Broglie to associate to each particle a quantum wavelength. Chapter Six describes the basic axioms of quantum mechanics, which were formulated in the seminal books of Paul Dirac and John von Neumann. In chapter seven, there are several important application of quantum mechanics: the quantum particle in a box, the quantum particle in the harmonic potential, the quantum tunneling, the stationary perturbation theory, and the time-dependent perturbation theory. Chapter Eight is devoted to the study of quantum atomic physics with special emphasis on the spin of the electron, which needs the Dirac equation for a rigorous theoretical justification. In the ninth chapter, it is explained the quantum mechanics of many identical particles at zero temperature, while in Chapter Ten the discussion is extended to many quantum particles at finite temperature by introducing and using the quantum statistical mechanics. The four appendices on Dirac delta function, complex numbers, Fourier transform, and differential equations are a useful mathematical aid for the reader.

Operator Algebras and Quantum Statistical Mechanics 1

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Publisher : Springer Science & Business Media
ISBN 13 : 3662025205
Total Pages : 510 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Operator Algebras and Quantum Statistical Mechanics 1 by : Ola Bratteli

Download or read book Operator Algebras and Quantum Statistical Mechanics 1 written by Ola Bratteli and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fundamentals of Statistical Mechanics

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Publisher : World Scientific
ISBN 13 : 9789810244200
Total Pages : 318 pages
Book Rating : 4.2/5 (442 download)

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Book Synopsis Fundamentals of Statistical Mechanics by : Felix Bloch

Download or read book Fundamentals of Statistical Mechanics written by Felix Bloch and published by World Scientific. This book was released on 2000 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 1952 Nobel physics laureate Felix Bloch (1905-83) was one of the titans of twentieth-century physics. He laid the fundamentals for the theory of solids and has been called the ?father of solid-state physics.? His numerous, valuable contributions include the theory of magnetism, measurement of the magnetic moment of the neutron, nuclear magnetic resonance, and the infrared problem in quantum electrodynamics.Statistical mechanics is a crucial subject which explores the understanding of the physical behaviour of many-body systems that create the world around us. Bloch's first-year graduate course at Stanford University was the highlight for several generations of students. Upon his retirement, he worked on a book based on the course. Unfortunately, at the time of his death, the writing was incomplete.This book has been prepared by Professor John Dirk Walecka from Bloch's unfinished masterpiece. It also includes three sets of Bloch's handwritten lecture notes (dating from 1949, 1969 and 1976), and details of lecture notes taken in 1976 by Brian Serot, who gave an invaluable opinion of the course from a student's perspective. All of Bloch's problem sets, some dating back to 1933, have been included.The book is accessible to anyone in the physical sciences at the advanced undergraduate level or the first-year graduate level.

Operator Algebras and Quantum Statistical Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540614432
Total Pages : 536 pages
Book Rating : 4.6/5 (144 download)

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Book Synopsis Operator Algebras and Quantum Statistical Mechanics by : Ola Bratteli

Download or read book Operator Algebras and Quantum Statistical Mechanics written by Ola Bratteli and published by Springer Science & Business Media. This book was released on 2003-01-09 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: For almost two decades, this has been the classical textbook on applications of operator algebra theory to quantum statistical physics. Major changes in the new edition relate to Bose-Einstein condensation, the dynamics of the X-Y model and questions on phase transitions.

Lectures on the Mathematics of Quantum Mechanics I

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Publisher : Springer
ISBN 13 : 9462391181
Total Pages : 470 pages
Book Rating : 4.4/5 (623 download)

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Book Synopsis Lectures on the Mathematics of Quantum Mechanics I by : Gianfausto Dell'Antonio

Download or read book Lectures on the Mathematics of Quantum Mechanics I written by Gianfausto Dell'Antonio and published by Springer. This book was released on 2015-05-25 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first volume (General Theory) differs from most textbooks as it emphasizes the mathematical structure and mathematical rigor, while being adapted to the teaching the first semester of an advanced course in Quantum Mechanics (the content of the book are the lectures of courses actually delivered.). It differs also from the very few texts in Quantum Mechanics that give emphasis to the mathematical aspects because this book, being written as Lecture Notes, has the structure of lectures delivered in a course, namely introduction of the problem, outline of the relevant points, mathematical tools needed, theorems, proofs. This makes this book particularly useful for self-study and for instructors in the preparation of a second course in Quantum Mechanics (after a first basic course). With some minor additions it can be used also as a basis of a first course in Quantum Mechanics for students in mathematics curricula. The second part (Selected Topics) are lecture notes of a more advanced course aimed at giving the basic notions necessary to do research in several areas of mathematical physics connected with quantum mechanics, from solid state to singular interactions, many body theory, semi-classical analysis, quantum statistical mechanics. The structure of this book is suitable for a second-semester course, in which the lectures are meant to provide, in addition to theorems and proofs, an overview of a more specific subject and hints to the direction of research. In this respect and for the width of subjects this second volume differs from other monographs on Quantum Mechanics. The second volume can be useful for students who want to have a basic preparation for doing research and for instructors who may want to use it as a basis for the presentation of selected topics.

Quantum Statistical Mechanics

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Author :
Publisher : IOP Publishing Limited
ISBN 13 : 9780750311892
Total Pages : 0 pages
Book Rating : 4.3/5 (118 download)

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Book Synopsis Quantum Statistical Mechanics by : Phil Attard

Download or read book Quantum Statistical Mechanics written by Phil Attard and published by IOP Publishing Limited. This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a clear and self-contained exposition of quantum statistical mechanics, focussing on the foundations. The unifying theme is the statistical entropy, as modified for quantum systems. From this is derived the conventional expressions for equilibrium quantum statistical mechanics, and, most exciting, their extension to non-equilibrium, time-dependent systems. A unified treatment of the equilibrium and non-equilibrium fields is given based upon the conservation laws, time symmetries, and the second law of thermodynamics. One theme of the book is the collapse of the wave function of an open quantum system, which leads to the Maxwell-Boltzmann probability operator, its relationship to the density matrix, and the von Neumann trace expression for a statistical average. A second theme is the development of the appropriate entropy for quantum systems, which, in conjunction with the second law, gives the stochastic, dissipative Schrdinger equation for an open quantum system and the fluctuation-dissipation theorem for the time propagator. A final theme is the derivation of the probability operator for non-equilibrium systems and irreversible processes, which lies at the cutting edge of modern research.