Path Integrals In Physics

Author : M Chaichian,A Demichev
Publisher : CRC Press
Page : 336 pages
File Size : 42,7 Mb
Release : 2019-08-30
Category : Electronic
ISBN : 0367397145

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Path Integrals in Physics by M Chaichian,A Demichev Pdf

Path Integrals in Physics: Volume I, Stochastic Processes and Quantum Mechanics presents the fundamentals of path integrals, both the Wiener and Feynman type, and their many applications in physics. Accessible to a broad community of theoretical physicists, the book deals with systems possessing a infinite number of degrees in 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. It describes in detail various applications, including systems with Grassmann variables. Each chapter is self-contained and can be considered as an independent textbook. The book provides a comprehensive, detailed, and systematic account of the subject suitable for both students and experienced researchers.

Author : Hagen Kleinert
Publisher : World Scientific
Page : 1626 pages
File Size : 43,5 Mb
Release : 2009
Category : Business & Economics
ISBN : 9789814273572

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Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets by Hagen Kleinert Pdf

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 : Gert Roepstorff
Publisher : Springer Science & Business Media
Page : 400 pages
File Size : 43,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642578861

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Path Integral Approach to Quantum Physics by Gert Roepstorff Pdf

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 : M Chaichian,A Demichev
Publisher : CRC Press
Page : 368 pages
File Size : 46,6 Mb
Release : 2001-07-01
Category : Science
ISBN : 0750308028

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Path Integrals in Physics by M Chaichian,A Demichev Pdf

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 : L. S. Schulman
Publisher : Courier Corporation
Page : 434 pages
File Size : 41,7 Mb
Release : 2012-10-10
Category : Science
ISBN : 9780486137025

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Techniques and Applications of Path Integration by L. S. Schulman Pdf

Suitable for advanced undergraduates and graduate students, this text develops the techniques of path integration and deals with applications, covering a host of illustrative examples. 26 figures. 1981 edition.

Author : Frederik W. Wiegel
Publisher : World Scientific
Page : 226 pages
File Size : 47,5 Mb
Release : 1986
Category : Science
ISBN : 9971978709

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Introduction to Path-integral Methods in Physics and Polymer Science by Frederik W. Wiegel Pdf

This monograph distills material prepared by the author for class lectures, conferences and research seminars. It fills in a much-felt gap between the older and original work by Feynman and Hibbs and the more recent and advanced volume by Schulman. After presenting an elementary account on the Wiener path integral as applied to Brownian motion, the author progresses on to the statistics of polymers and polymer entanglements. The next three chapters provide an introduction to quantum statistical physics with emphasis on the conceptual understanding of many-variable systems. A chapter on the renormalization group provides material for starting on research work. The final chapter contains an over view of the role of path integrals in recent developments in physics. A good bibliography is provided for each chapter.

Author : M Chaichian,A Demichev
Publisher : CRC Press
Page : 336 pages
File Size : 53,9 Mb
Release : 2018-10-03
Category : Science
ISBN : 9781482289503

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Path Integrals in Physics by M Chaichian,A Demichev Pdf

Path Integrals in Physics: Volume I, Stochastic Processes and Quantum Mechanics presents the fundamentals of path integrals, both the Wiener and Feynman type, and their many applications in physics. Accessible to a broad community of theoretical physicists, the book deals with systems possessing a infinite number of degrees in 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. It describes in detail various applications, including systems with Grassmann variables. Each chapter is self-contained and can be considered as an independent textbook. The book provides a comprehensive, detailed, and systematic account of the subject suitable for both students and experienced researchers.

Author : Richard Phillips Feynman
Publisher : Unknown
Page : 0 pages
File Size : 46,6 Mb
Release : 1965
Category : Quantum theory
ISBN : 0071139486

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Quantum Mechanics and Path Integrals [by] R.P. Feynman [and] A.R. Hibbs by Richard Phillips Feynman Pdf

Author : M Chaichian,A Demichev
Publisher : CRC Press
Page : 359 pages
File Size : 51,9 Mb
Release : 2018-10-08
Category : Science
ISBN : 9781482268911

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Path Integrals in Physics by M Chaichian,A Demichev Pdf

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 : Lukong Cornelius Fai
Publisher : CRC Press
Page : 394 pages
File Size : 46,8 Mb
Release : 2021-04-16
Category : Science
ISBN : 9781000349061

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Feynman Path Integrals in Quantum Mechanics and Statistical Physics by Lukong Cornelius Fai Pdf

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 : Mark S. Swanson
Publisher : Courier Corporation
Page : 464 pages
File Size : 55,7 Mb
Release : 2014-02-19
Category : Science
ISBN : 9780486782300

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Path Integrals and Quantum Processes by Mark S. Swanson Pdf

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 : Fiorenzo Bastianelli,Peter van Nieuwenhuizen
Publisher : Cambridge University Press
Page : 47 pages
File Size : 51,5 Mb
Release : 2006-07-20
Category : Science
ISBN : 9781139456845

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Path Integrals and Anomalies in Curved Space by Fiorenzo Bastianelli,Peter van Nieuwenhuizen Pdf

This book introduces path integrals, a powerful method for describing quantum phenomena, and then uses them to compute anomalies in quantum field theories. An advanced text for researchers and graduate students of quantum field theory and string theory, it also provides a stand-alone introduction to path integrals in quantum mechanics.

Author : George J. Papadopoulos,J. T. Devreese
Publisher : Springer Science & Business Media
Page : 516 pages
File Size : 49,7 Mb
Release : 2013-11-11
Category : Science
ISBN : 9781468491401

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Path Integrals by George J. Papadopoulos,J. T. Devreese Pdf

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 : R. J. Rivers
Publisher : Cambridge University Press
Page : 356 pages
File Size : 55,5 Mb
Release : 1988-10-27
Category : Science
ISBN : 0521368707

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Path Integral Methods in Quantum Field Theory by R. J. Rivers Pdf

The applications of functional integral methods introduced in this text for solving a range of problems in quantum field theory will prove useful for students and researchers in theoretical physics and quantum field theory.

Author : Sonia Mazzucchi
Publisher : World Scientific
Page : 360 pages
File Size : 55,7 Mb
Release : 2021-11-16
Category : Science
ISBN : 9789811214806

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Mathematical Feynman Path Integrals And Their Applications (Second Edition) by Sonia Mazzucchi Pdf

Feynman path integrals are ubiquitous in quantum physics, even if a large part of the scientific community still considers them as a heuristic tool that lacks a sound mathematical definition. Our book aims to refute this prejudice, providing an extensive and self-contained description of the mathematical theory of Feynman path integration, from the earlier attempts to the latest developments, as well as its applications to quantum mechanics.This second edition presents a detailed discussion of the general theory of complex integration on infinite dimensional spaces, providing on one hand a unified view of the various existing approaches to the mathematical construction of Feynman path integrals and on the other hand a connection with the classical theory of stochastic processes. Moreover, new chapters containing recent applications to several dynamical systems have been added.This book bridges between the realms of stochastic analysis and the theory of Feynman path integration. It is accessible to both mathematicians and physicists.