Equivalence Of Ensembles For Observables In The Statistical Mechanics Of Quantum Lattice Systems PDF Download
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Author | : Lawrence Aiken Truong |
Publisher | : |
Total Pages | : 176 |
Release | : 1973 |
Genre | : |
ISBN | : |
Download Equivalence of Ensembles for Observables in the Statistical Mechanics of Quantum Lattice Systems Book in PDF, ePub and Kindle
Author | : Sacha Friedli |
Publisher | : Cambridge University Press |
Total Pages | : 643 |
Release | : 2017-11-23 |
Genre | : Mathematics |
ISBN | : 1107184827 |
Download Statistical Mechanics of Lattice Systems Book in PDF, ePub and Kindle
A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.
Author | : |
Publisher | : European Mathematical Society |
Total Pages | : 402 |
Release | : 2009 |
Genre | : Science |
ISBN | : 9783037190708 |
Download The Statistical Mechanics of Quantum Lattice Systems Book in PDF, ePub and Kindle
Quantum statistical mechanics plays a major role in many fields such as thermodynamics, plasma physics, solid-state physics, and the study of stellar structure. While the theory of quantum harmonic oscillators is relatively simple, the case of anharmonic oscillators, a mathematical model of a localized quantum particle, is more complex and challenging. Moreover, infinite systems of interacting quantum anharmonic oscillators possess interesting ordering properties with respect to quantum stabilization. This book presents a rigorous approach to the statistical mechanics of such systems, in particular with respect to their actions on a crystal lattice. The text is addressed to both mathematicians and physicists, especially those who are concerned with the rigorous mathematical background of their results and the kind of problems that arise in quantum statistical mechanics. The reader will find here a concise collection of facts, concepts, and tools relevant for the application of path integrals and other methods based on measure and integration theory to problems of quantum physics, in particular the latest results in the mathematical theory of quantum anharmonic crystals. The methods developed in the book are also applicable to other problems involving infinitely many variables, for example, in biology and economics.
Author | : R. Lima |
Publisher | : |
Total Pages | : |
Release | : 1970 |
Genre | : |
ISBN | : |
Download Equivalence of Ensembles in Quantum Lattice Systems Book in PDF, ePub and Kindle
Author | : Margaret Prugovecki |
Publisher | : Springer Science & Business Media |
Total Pages | : 319 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 9400944926 |
Download Stochastic Quantum Mechanics and Quantum Spacetime Book in PDF, ePub and Kindle
The principal intent of this monograph is to present in a systematic and self-con tained fashion the basic tenets, ideas and results of a framework for the consistent unification of relativity and quantum theory based on a quantum concept of spacetime, and incorporating the basic principles of the theory of stochastic spaces in combination with those of Born's reciprocity theory. In this context, by the physicial consistency of the present framework we mean that the advocated approach to relativistic quantum theory relies on a consistent probabilistic interpretation, which is proven to be a direct extrapolation of the conventional interpretation of nonrelativistic quantum mechanics. The central issue here is that we can derive conserved and relativistically convariant probability currents, which are shown to merge into their nonrelativistic counterparts in the nonrelativistic limit, and which at the same time explain the physical and mathe matical reasons behind the basic fact that no probability currents that consistently describe pointlike particle localizability exist in conventional relativistic quantum mechanics. Thus, it is not that we dispense with the concept oflocality, but rather the advanced central thesis is that the classical concept of locality based on point like localizability is inconsistent in the realm of relativistic quantum theory, and should be replaced by a concept of quantum locality based on stochastically formulated systems of covariance and related to the aforementioned currents.
Author | : SERGIO ALBEVERIO; YURI KONDRATIEV; YURI KOZITSKY. |
Publisher | : |
Total Pages | : |
Release | : |
Genre | : |
ISBN | : 9783037195703 |
Download STATISTICAL MECHANICS OF QUANTUM LATTICE SYSTEMS;A PATH INTEGRAL APPROACH. Book in PDF, ePub and Kindle
Author | : |
Publisher | : |
Total Pages | : 624 |
Release | : 1973 |
Genre | : Dissertation abstracts |
ISBN | : |
Download American Doctoral Dissertations Book in PDF, ePub and Kindle
Author | : American Mathematical Society |
Publisher | : |
Total Pages | : 488 |
Release | : 1974 |
Genre | : Electronic journals |
ISBN | : |
Download Notices of the American Mathematical Society Book in PDF, ePub and Kindle
Contains articles of significant interest to mathematicians, including reports on current mathematical research.
Author | : Hansjörg Roos |
Publisher | : |
Total Pages | : 78 |
Release | : 1974 |
Genre | : |
ISBN | : |
Download Statistical mechanics of quantum lattice systems without translation invariance Book in PDF, ePub and Kindle
Author | : Luca Peliti |
Publisher | : Princeton University Press |
Total Pages | : 418 |
Release | : 2011-08-28 |
Genre | : Mathematics |
ISBN | : 0691145296 |
Download Statistical Mechanics in a Nutshell Book in PDF, ePub and Kindle
A concise introduction to statistical mechanics Statistical mechanics is one of the most exciting areas of physics today, and it also has applications to subjects as diverse as economics, social behavior, algorithmic theory, and evolutionary biology. Statistical Mechanics in a Nutshell offers the most concise, self-contained introduction to this rapidly developing field. Requiring only a background in elementary calculus and elementary mechanics, this book starts with the basics, introduces the most important developments in classical statistical mechanics over the last thirty years, and guides readers to the very threshold of today's cutting-edge research. Statistical Mechanics in a Nutshell zeroes in on the most relevant and promising advances in the field, including the theory of phase transitions, generalized Brownian motion and stochastic dynamics, the methods underlying Monte Carlo simulations, complex systems—and much, much more. The essential resource on the subject, this book is the most up-to-date and accessible introduction available for graduate students and advanced undergraduates seeking a succinct primer on the core ideas of statistical mechanics. Provides the most concise, self-contained introduction to statistical mechanics Focuses on the most promising advances, not complicated calculations Requires only elementary calculus and elementary mechanics Guides readers from the basics to the threshold of modern research Highlights the broad scope of applications of statistical mechanics