Quantum Statistical Mechanics in Classical Phase Space

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Publisher : IOP Publishing Limited
ISBN 13 : 9780750340533
Total Pages : 300 pages
Book Rating : 4.3/5 (45 download)

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Book Synopsis Quantum Statistical Mechanics in Classical Phase Space by : ATTARD

Download or read book Quantum Statistical Mechanics in Classical Phase Space written by ATTARD and published by IOP Publishing Limited. This book was released on 2021-11-30 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum and classical physics are presented as distinct and unrelated. Transformation to classical phase space gives researchers access to algorithms derived from classical statistical mechanics that promise results on much more favourable terms. This book offers a framework for understanding the quantum world and collective molecular behaviour.

A Concise Treatise on Quantum Mechanics in Phase Space

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Publisher : World Scientific Publishing Company
ISBN 13 : 9814520462
Total Pages : 172 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis A Concise Treatise on Quantum Mechanics in Phase Space by : Thomas L Curtright

Download or read book A Concise Treatise on Quantum Mechanics in Phase Space written by Thomas L Curtright and published by World Scientific Publishing Company. This book was released on 2013-11-11 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a text on quantum mechanics formulated simultaneously in terms of position and momentum, i.e. in phase space. It is written at an introductory level, drawing on the remarkable history of the subject for inspiration and motivation. Wigner functions — density matrices in a special Weyl representation — and star products are the cornerstones of the formalism. The resulting framework is a rich source of physical intuition. It has been used to describe transport in quantum optics, structure and dynamics in nuclear physics, chaos, and decoherence in quantum computing. It is also of importance in signal processing and the mathematics of algebraic deformation. A remarkable aspect of its internal logic, pioneered by Groenewold and Moyal, has only emerged in the last quarter-century: it furnishes a third, alternative way to formulate and understand quantum mechanics, independent of the conventional Hilbert space or path integral approaches to the subject. In this logically complete and self-standing formulation, one need not choose sides between coordinate or momentum space variables. It works in full phase space, accommodating the uncertainty principle; and it offers unique insights into the classical limit of quantum theory. The observables in this formulation are c-number functions in phase space instead of operators, with the same interpretation as their classical counterparts, only composed together in novel algebraic ways using star products. This treatise provides an introductory overview and supplementary material suitable for an advanced undergraduate or a beginning graduate course in quantum mechanics.

Foundations of Classical and Quantum Statistical Mechanics

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Publisher : Elsevier
ISBN 13 : 1483186261
Total Pages : 441 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Foundations of Classical and Quantum Statistical Mechanics by : R. Jancel

Download or read book Foundations of Classical and Quantum Statistical Mechanics written by R. Jancel and published by Elsevier. This book was released on 2013-10-22 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Quantum Statistical Mechanics

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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.

Quantum Mechanics in Phase Space

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Publisher : World Scientific
ISBN 13 : 981448587X
Total Pages : 560 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Quantum Mechanics in Phase Space by : Cosmas K Zachos

Download or read book Quantum Mechanics in Phase Space written by Cosmas K Zachos and published by World Scientific. This book was released on 2005-12-09 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wigner's quasi-probability distribution function in phase space is a special (Weyl) representation of the density matrix. It has been useful in describing quantum transport in quantum optics; nuclear physics; decoherence, quantum computing, and quantum chaos. It is also important in signal processing and the mathematics of algebraic deformation. A remarkable aspect of its internal logic, pioneered by Groenewold and Moyal, has only emerged in the last quarter-century: it furnishes a third, alternative, formulation of quantum mechanics, independent of the conventional Hilbert space, or path integral formulations. In this logically complete and self-standing formulation, one need not choose sides — coordinate or momentum space. It works in full phase space, accommodating the uncertainty principle, and it offers unique insights into the classical limit of quantum theory. This invaluable book is a collection of the seminal papers on the formulation, with an introductory overview which provides a trail map for those papers; an extensive bibliography; and simple illustrations, suitable for applications to a broad range of physics problems. It can provide supplementary material for a beginning graduate course in quantum mechanics. Contents:The Wigner FunctionSolving for the Wigner FunctionThe Uncertainty PrincipleEhrenfest's TheoremIllustration: The Harmonic OscillatorTime EvolutionNondiagonal Wigner FunctionsStationary Perturbation TheoryPropagatorsCanonical TransformationsThe Weyl CorrespondenceAlternate Rules of AssociationThe Groenwold–van Hove Theorem and the Uniqueness of MBs and ∗-ProductsOmitted MiscellanySelected Papers: Brief Historical Outline Readership: Advanced undergraduates, beginning graduate students and researchers in physics, quantum computing, chemistry and information processing. Keywords:Phase Space Quantization;Wigner Functions;Star Products;DeformationsReviews:“… the authors have struck the right note in their choice of presentation and also their decision as to what to omit, since the subject matter covers a very broad range … the authors have performed an excellent job in presenting a timely and very useful resource for investigators, in potentially many areas requiring quantum physics, who wish to use quasi-probability functions, particularly the Wigner function. I highly recommend it.”International Journal of Quantum Information

A Brief Introduction to Classical, Statistical, and Quantum Mechanics

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Author :
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:

Introduction To Quantum Statistical Mechanics

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Author :
Publisher : World Scientific Publishing Company
ISBN 13 : 9814632473
Total Pages : 317 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Introduction To Quantum Statistical Mechanics by : Nickolai N Bogolubov Jr

Download or read book Introduction To Quantum Statistical Mechanics written by Nickolai N Bogolubov Jr and published by World Scientific Publishing Company. This book was released on 1982-01-01 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text represents the first translated edition of a special series of lectures delivered at the Physics Department of the Moscow State University.It can serve as an introduction to a large group ranging from final year undergraduates to researchers and others requiring and understanding of Quantum Statistics and Second Quantization methods.

Introduction to Relativistic Statistical Mechanics

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Publisher : World Scientific
ISBN 13 : 9814322431
Total Pages : 567 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Introduction to Relativistic Statistical Mechanics by : R‚mi Hakim

Download or read book Introduction to Relativistic Statistical Mechanics written by R‚mi Hakim and published by World Scientific. This book was released on 2011 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is one of the very few books focusing on relativistic statistical mechanics, and is written by a leading expert in this special field. It started from the notion of relativistic kinetic theory, half a century ago, exploding into relativistic statistical mechanics. This will interest specialists of various fields, especially the (classical and quantum) plasma physics. However, quantum physics ? to which a major part is devoted ? will be of more interest since, not only it applies to quantum plasma physics, but also to nuclear matter and to strong magnetic field, cosmology, etc. Although the domain of gauge theory is not covered in this book, the topic is not completely forgotten, in particular in the domain of plasma physics. This book is particularly readable for graduate students and a fortiori to young researchers for whom it offers methods and also appropriate schemes to deal with the current problems encountered in astrophysics, in strong magnetic, in nuclear or even in high energy physics.

Statistical Mechanics

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Publisher : World Scientific Publishing Company
ISBN 13 : 9813102675
Total Pages : 668 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Statistical Mechanics by : G Morandi

Download or read book Statistical Mechanics written by G Morandi and published by World Scientific Publishing Company. This book was released on 2001-05-17 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the foundations of classical thermodynamics, with emphasis on the use of differential forms of classical and quantum statistical mechanics, and also on the foundational aspects. In both contexts, a number of applications are considered in detail, such as the general theory of response, correlations and fluctuations, and classical and quantum spin systems. In the quantum case, a self-contained introduction to path integral methods is given. In addition, the book discusses phase transitions and critical phenomena, with applications to the Landau theory and to the Ginzburg–Landau theory of superconductivity, and also to the phenomenon of Bose condensation and of superfluidity. Finally, there is a careful discussion on the use of the renormalization group in the study of critical phenomena. Request Inspection Copy

Statistical Mechanics for the Liquid State

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Publisher : Cambridge Scholars Publishing
ISBN 13 : 152755970X
Total Pages : 582 pages
Book Rating : 4.5/5 (275 download)

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Book Synopsis Statistical Mechanics for the Liquid State by : Jean-Louis Bretonnet

Download or read book Statistical Mechanics for the Liquid State written by Jean-Louis Bretonnet and published by Cambridge Scholars Publishing. This book was released on 2020-09-18 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a simple and accessible form, this book presents a unified approach to the physics of the liquid state, both in and out of equilibrium. It discerns, behind the seemingly anarchistic proliferation of phenomena observable in the liquid state, the sequence of causes and effects and, where appropriate, the underlying rules that preside over the general principles. The book begins by introducing the fundamental concepts of statistical mechanics, such as classical and quantum mechanics, probability theory, and the kinetic theory of gases, before moving on to discuss theoretical methods in order to contextualise the study of liquids. The last final section is devoted to ordering in complex fluids. It includes detailed technical notes and explicit calculations, and will appeal to graduate students in physics and chemistry. It will also be of interest the reader interested in statistical mechanics and their application to the physics of dense matter. This book will certainly become an indispensable reference for students and researchers who wish to become familiar with a multifaceted process looking towards new horizons.

Phase Space Picture of Quantum Mechanics

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Publisher : World Scientific
ISBN 13 : 9814506672
Total Pages : 352 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Phase Space Picture of Quantum Mechanics by : Y S Kim

Download or read book Phase Space Picture of Quantum Mechanics written by Y S Kim and published by World Scientific. This book was released on 1991-03-06 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the theory and applications of the Wigner phase space distribution function and its symmetry properties. The book explains why the phase space picture of quantum mechanics is needed, in addition to the conventional Schrödinger or Heisenberg picture. It is shown that the uncertainty relation can be represented more accurately in this picture. In addition, the phase space picture is shown to be the natural representation of quantum mechanics for modern optics and relativistic quantum mechanics of extended objects. Contents:Phase Space in Classical MechanicsForms of Quantum MechanicsWigner Phase- Space Distribution FunctionsLinear Canonical Transformations in Quantum MechanicsCoherent and Squeezed StatesPhase-Space Picture of Coherent and Squeezed StatesLorentz TransformationsCovariant Harmonic OscillatorsLorentz-Squeezed HadronsSpace-Time Geometry of Extended Particles Readership: Physicists, applied physicists and mathematical physicists. keywords:Lorentz Transformations;Wigner's Little Groups;Quantum Optics;Relativistic Quantum Mechanics;Phase Space;Wigner Function;Squeezed States;Feynman's Parton Picture;Covariant Harmonic Oscillators;Space-Time Geometry;Hadrons;Group Theory “… if Casimir invariants and Lorentz groups excite you, you'll be at home in Kim and Noz's lecture notes…” Contemporary Physics

Intelligent Modeling, Diagnosis And Control Of Manufacturing Processes

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Publisher : World Scientific
ISBN 13 : 9814520446
Total Pages : 273 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Intelligent Modeling, Diagnosis And Control Of Manufacturing Processes by : B-t Chu

Download or read book Intelligent Modeling, Diagnosis And Control Of Manufacturing Processes written by B-t Chu and published by World Scientific. This book was released on 1992-08-31 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume demonstrates that the key to the modeling, diagnosis and control of the next generation manufacturing processes is to integrate knowledge-based systems with traditional techniques. An up-to-date study is given here of this relatively recent development.The book is for those working primarily with traditional techniques and those working in the knowledge-based systems field. Both sets of readers will find it to be a source of many specific ideas about the integration of knowledge-based systems with traditional techniques, and carrying a wealth of useful references.

Statistical Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540431633
Total Pages : 602 pages
Book Rating : 4.4/5 (316 download)

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Book Synopsis Statistical Mechanics by : Franz Schwabl

Download or read book Statistical Mechanics written by Franz Schwabl and published by Springer Science & Business Media. This book was released on 2002-11-05 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique and consistent mathematical treatise contains a deductive description of equilibrium statistics and thermodynamics. The most important elements of non-equilibrium phenomena are also treated. In addition to the fundamentals, the text tries to show how large the area of statistical mechanics is and how many applications can be found here. Modern areas such as renormalization group theory, percolation, stochastic equations of motion and their applications in critical dynamics, as well as fundamental thoughts of irreversibility are discussed. The text will be useful for advanced students in physics and other sciences who have profound knowledge of quantum mechanics.

Introduction to Relativistic Statistical Mechanics

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Publisher :
ISBN 13 : 9814464120
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Introduction to Relativistic Statistical Mechanics by :

Download or read book Introduction to Relativistic Statistical Mechanics written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

From Microphysics to Macrophysics

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Publisher : Springer Science & Business Media
ISBN 13 : 3540454691
Total Pages : 481 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis From Microphysics to Macrophysics by : Roger Balian

Download or read book From Microphysics to Macrophysics written by Roger Balian and published by Springer Science & Business Media. This book was released on 2006-11-13 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: This popular, often cited text returns in a softcover edition to provide a thorough introduction to statistical physics and thermodynamics, and to exhibit the universality of the chain of ideas leading from the laws of microphysics to the macroscopic behaviour of matter. A wide range of applications illustrates the concepts, and many exercises reinforce understanding. Volume I discusses the probabilistic description of quantum or classical systems, the Boltzmann-Gibbs distributions, the conservation laws, and the interpretation of entropy as missing information. Thermodynamics and electromagnetism in matter are dealt with, as well as applications to dilute and condensed gases, and to phase transitions.

Statistical Mechanics And Scientific Explanation: Determinism, Indeterminism And Laws Of Nature

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Publisher : World Scientific
ISBN 13 : 9811211736
Total Pages : 698 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Statistical Mechanics And Scientific Explanation: Determinism, Indeterminism And Laws Of Nature by : Valia Allori

Download or read book Statistical Mechanics And Scientific Explanation: Determinism, Indeterminism And Laws Of Nature written by Valia Allori and published by World Scientific. This book was released on 2020-04-22 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book explores several open questions in the philosophy and the foundations of statistical mechanics. Each chapter is written by a leading expert in philosophy of physics and/or mathematical physics. Here is a list of questions that are addressed in the book:

Statistical Mechanics

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Publisher : Courier Corporation
ISBN 13 : 0486318567
Total Pages : 466 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Statistical Mechanics by : Terrell L. Hill

Download or read book Statistical Mechanics written by Terrell L. Hill and published by Courier Corporation. This book was released on 2013-04-26 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Standard text covers classical statistical mechanics, quantum statistical mechanics, relation of statistical mechanics to thermodynamics, plus fluctuations, theory of imperfect gases and condensation, distribution functions and the liquid state, more.