Path Integral Approaches To Quantum Statistical Mechanics PDF Download
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Author | : Gert Roepstorff |
Publisher | : Springer Science & Business Media |
Total Pages | : 400 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 3642578861 |
Download Path Integral Approach to Quantum Physics Book in PDF, ePub and Kindle
Specifically designed to introduce graduate students to the functional integration method in contemporary physics as painlessly as possible, the book concentrates on the conceptual problems inherent in the path integral formalism. Throughout, the striking interplay between stochastic processes, statistical physics and quantum mechanics comes to the fore, and all the methods of fundamental interest are generously illustrated by important physical examples.
Author | : Randall Wayne Hall |
Publisher | : |
Total Pages | : 244 |
Release | : 1984 |
Genre | : Quantum theory |
ISBN | : |
Download Path Integral Approaches to Quantum Statistical Mechanics Book in PDF, ePub and Kindle
Author | : Lukong Cornelius Fai |
Publisher | : CRC Press |
Total Pages | : 415 |
Release | : 2021-04-15 |
Genre | : Science |
ISBN | : 1000349047 |
Download Feynman Path Integrals in Quantum Mechanics and Statistical Physics Book in PDF, ePub and Kindle
This book provides an ideal introduction to the use of Feynman path integrals in the fields of quantum mechanics and statistical physics. It is written for graduate students and researchers in physics, mathematical physics, applied mathematics as well as chemistry. The material is presented in an accessible manner for readers with little knowledge of quantum mechanics and no prior exposure to path integrals. It begins with elementary concepts and a review of quantum mechanics that gradually builds the framework for the Feynman path integrals and how they are applied to problems in quantum mechanics and statistical physics. Problem sets throughout the book allow readers to test their understanding and reinforce the explanations of the theory in real situations. Features: Comprehensive and rigorous yet, presents an easy-to-understand approach. Applicable to a wide range of disciplines. Accessible to those with little, or basic, mathematical understanding.
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 | : George J. Papadopoulos |
Publisher | : Springer Science & Business Media |
Total Pages | : 516 |
Release | : 2013-11-11 |
Genre | : Science |
ISBN | : 1468491407 |
Download Path Integrals Book in PDF, ePub and Kindle
The Advanced Study Institute on "Path Integrals and Their Applications in Quantum, Statistical, and Solid State Physics" was held at the University of Antwerpen (R.U.C.A.), July 17-30, 1977. The Institute was sponsored by NATO. Co-sponsors were: A.C.E.C. (Belgium), Agfa-Gevaert (Belgium), l'Air Li~uide BeIge (Belgium), Be1gonucleaire (Belgium), Bell Telephone Mfg. Co. (Belgium), Boelwerf (Belgium), Generale BankmaatschappiJ (Belgium), I.B.M. (Belgium), Kredietbank (Belgium), National Science Foundation (U.S.A.), Siemens (Belgium). A total of 100 lecturers and partici pants attended the Institute. The development of path (or functional) integrals in relation to problems of stochastic nature dates back to the early 20's. At that time, Wiener succeeded in obtaining the fundamental solution of the diffusion e~uation using Einstein's joint probability of finding a Brownian particle in a succession of space intervals during a corresponding succession of time intervals. Dirac in the early 30's sowed the seeds of the path integral formulation of ~uantum mecha nics. However, the major and decisive step in this direction was taken with Feynman's works in ~uantum and statistical physics, and quantum electrodynamicso The applications now extend to areas such as continuous mechanics, and recently functional integration methods have been employed by Edwards for the study of polymerized matter
Author | : Richard Phillips Feynman |
Publisher | : |
Total Pages | : 365 |
Release | : 1965 |
Genre | : Quantum theory |
ISBN | : |
Download Quantum Mechanics and Path Integrals [by] R. P. Feynman [and] A. R. Hibbs Book in PDF, ePub and Kindle
Author | : M Chaichian |
Publisher | : CRC Press |
Total Pages | : 359 |
Release | : 2018-10-08 |
Genre | : Science |
ISBN | : 1482268914 |
Download Path Integrals in Physics Book in PDF, ePub and Kindle
The path integral approach has proved extremely useful for the understanding of the most complex problems in quantum field theory, cosmology, and condensed matter physics. Path Integrals in Physics: Volume II, Quantum Field Theory, Statistical Physics and other Modern Applications covers the fundamentals of path integrals, both the Wiener and Feynman types, and their many applications in physics. The book deals with systems that have an infinite number of degrees of freedom. It discusses the general physical background and concepts of the path integral approach used, followed by a detailed presentation of the most typical and important applications as well as problems with either their solutions or hints how to solve them. Each chapter is self-contained and can be considered as an independent textbook. It provides a comprehensive, detailed, and systematic account of the subject suitable for both students and experienced researchers.
Author | : Hagen Kleinert |
Publisher | : World Scientific |
Total Pages | : 1626 |
Release | : 2009 |
Genre | : Business & Economics |
ISBN | : 9814273570 |
Download Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets Book in PDF, ePub and Kindle
Topological restrictions. These are relevant to the understanding of the statistical properties of elementary particles and the entanglement phenomena in polymer physics and biophysics. The Chern-Simons theory of particles with fractional statistics (anyons) is introduced and applied to explain the fractional quantum Hall effect." "The relevance of path integrals to financial markets is discussed, and improvements of the famous Black-Scholes formula for option prices are developed which account for the fact that large market fluctuations occur much more frequently than in Gaussian distributions." --Book Jacket.
Author | : Mark S. Swanson |
Publisher | : Courier Corporation |
Total Pages | : 463 |
Release | : 2014-02-19 |
Genre | : Science |
ISBN | : 0486493067 |
Download Path Integrals and Quantum Processes Book in PDF, ePub and Kindle
Graduate-level, systematic presentation of path integral approach to calculating transition elements, partition functions, and source functionals. Covers Grassmann variables, field and gauge field theory, perturbation theory, and nonperturbative results. 1992 edition.
Author | : Kerson Huang |
Publisher | : John Wiley & Sons |
Total Pages | : 446 |
Release | : 2008-09-26 |
Genre | : Science |
ISBN | : 3527617388 |
Download Quantum Field Theory Book in PDF, ePub and Kindle
A unique approach to quantum field theory, with emphasis on the principles of renormalization Quantum field theory is frequently approached from the perspective of particle physics. This book adopts a more general point of view and includes applications of condensed matter physics. Written by a highly respected writer and researcher, it first develops traditional concepts, including Feynman graphs, before moving on to key topics such as functional integrals, statistical mechanics, and Wilson's renormalization group. The connection between the latter and conventional perturbative renormalization is explained. Quantum Field Theory is an exceptional textbook for graduate students familiar with advanced quantum mechanics as well as physicists with an interest in theoretical physics. It features: * Coverage of quantum electrodynamics with practical calculations and a discussion of perturbative renormalization * A discussion of the Feynman path integrals and a host of current subjects, including the physical approach to renormalization, spontaneous symmetry breaking and superfluidity, and topological excitations * Nineteen self-contained chapters with exercises, supplemented with graphs and charts