Path Integral Quantization

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Publisher :
ISBN 13 : 9780750335485
Total Pages : 242 pages
Book Rating : 4.3/5 (354 download)

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Book Synopsis Path Integral Quantization by : Mark S Swanson

Download or read book Path Integral Quantization written by Mark S Swanson and published by . This book was released on 2020-08-07 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a self-contained and concise introduction to the techniques and applications of path integral quantization and functional techniques, aimed at students and practitioners. The first half of the text focuses on quantum mechanics, including a review of the action formulation of classical mechanics and quantum mechanics in the Dirac operator and state formalism, and further examination of the path integral. The second part examines relativistic field theories, reviewing special relativity, as well as derivation of the path integral representation of the vacuum transition element for quantized scalar, spinor, and vector fields from the coherent state representation of the respective field theories. Key Features Concise introduction to the derivation and methods of path integral approaches to quantum mechanics and quantum field theory. Self-contained guide for students and practitioners

Path Integrals and Quantum Processes

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Publisher : Courier Corporation
ISBN 13 : 0486493067
Total Pages : 463 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Path Integrals and Quantum Processes by : Mark S. Swanson

Download or read book Path Integrals and Quantum Processes written by Mark S. Swanson and published by Courier Corporation. This book was released on 2014-02-19 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets

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Publisher : World Scientific
ISBN 13 : 9814273570
Total Pages : 1626 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets by : Hagen Kleinert

Download or read book Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets written by Hagen Kleinert and published by World Scientific. This book was released on 2009 with total page 1626 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Gravitation

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Publisher : Springer Science & Business Media
ISBN 13 : 354085293X
Total Pages : 342 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Quantum Gravitation by : Herbert W. Hamber

Download or read book Quantum Gravitation written by Herbert W. Hamber and published by Springer Science & Business Media. This book was released on 2008-10-20 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Quantum Gravitation" approaches the subject from the point of view of Feynman path integrals, which provide a manifestly covariant approach in which fundamental quantum aspects of the theory such as radiative corrections and the renormalization group can be systematically and consistently addressed. It is shown that the path integral method is suitable for both perturbative as well as non-perturbative studies, and is already known to offer a framework for the theoretical investigation of non-Abelian gauge theories, the basis for three of the four known fundamental forces in nature. The book thus provides a coherent outline of the present status of the theory gravity based on Feynman’s formulation, with an emphasis on quantitative results. Topics are organized in such a way that the correspondence to similar methods and results in modern gauge theories becomes apparent. Covariant perturbation theory are developed using the full machinery of Feynman rules, gauge fixing, background methods and ghosts. The renormalization group for gravity and the existence of non-trivial ultraviolet fixed points are investigated, stressing a close correspondence with well understood statistical field theory models. The final chapter addresses contemporary issues in quantum cosmology such as scale dependent gravitational constants and quantum effects in the early universe.

Path Integral Methods in Quantum Field Theory

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Publisher : Cambridge University Press
ISBN 13 : 9780521368704
Total Pages : 356 pages
Book Rating : 4.3/5 (687 download)

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Book Synopsis Path Integral Methods in Quantum Field Theory by : R. J. Rivers

Download or read book Path Integral Methods in Quantum Field Theory written by R. J. Rivers and published by Cambridge University Press. This book was released on 1988-10-27 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Path Integral Approach to Quantum Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642578861
Total Pages : 400 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Path Integral Approach to Quantum Physics by : Gert Roepstorff

Download or read book Path Integral Approach to Quantum Physics written by Gert Roepstorff and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Path Integrals in Physics

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Publisher : CRC Press
ISBN 13 : 9780750308021
Total Pages : 368 pages
Book Rating : 4.3/5 (8 download)

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Book Synopsis Path Integrals in Physics by : M Chaichian

Download or read book Path Integrals in Physics written by M Chaichian and published by CRC Press. This book was released on 2001-07-01 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Path Integrals in Quantum Mechanics

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Publisher :
ISBN 13 : 0198566751
Total Pages : 336 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Path Integrals in Quantum Mechanics by : Jean Zinn-Justin

Download or read book Path Integrals in Quantum Mechanics written by Jean Zinn-Justin and published by . This book was released on 2010-07-08 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum field theory is hardly comprehensible without path integrals: the goal of this book is to introduce students to this topic within the context of ordinary quantum mechanics and non-relativistic many-body theory, before facing the problems associated with the more involved quantum field theory formalism.

Path Integrals in Physics

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Publisher : CRC Press
ISBN 13 : 9780367397142
Total Pages : 336 pages
Book Rating : 4.3/5 (971 download)

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Book Synopsis Path Integrals in Physics by : M Chaichian

Download or read book Path Integrals in Physics written by M Chaichian and published by CRC Press. This book was released on 2019-08-30 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Lattice Gauge Theories: An Introduction

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Publisher : World Scientific
ISBN 13 : 9814602302
Total Pages : 397 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Lattice Gauge Theories: An Introduction by : Heinz J Rothe

Download or read book Lattice Gauge Theories: An Introduction written by Heinz J Rothe and published by World Scientific. This book was released on 1992-01-29 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces a large number of topics in lattice gauge theories, including analytical as well as numerical methods. It provides young physicists with the theoretical background and basic computational tools in order to be able to follow the extensive literature on the subject, and to carry out research on their own. Whenever possible, the basic ideas and technical inputs are demonstrated in simple examples, so as to avoid diverting the readers' attention from the main line of thought. Sufficient technical details are however given so that he can fill in the remaining details with the help of the cited literature without too much effort.This volume is designed for graduate students in theoretical elementary particle physics or statistical mechanics with a basic knowledge in Quantum Field Theory.

Path Integrals in Quantum Mechanics, Statistics, and Polymer Physics

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Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789810214722
Total Pages : 891 pages
Book Rating : 4.2/5 (147 download)

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Book Synopsis Path Integrals in Quantum Mechanics, Statistics, and Polymer Physics by : Hagen Kleinert

Download or read book Path Integrals in Quantum Mechanics, Statistics, and Polymer Physics written by Hagen Kleinert and published by World Scientific Publishing Company Incorporated. This book was released on 1995 with total page 891 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Field Theory

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Publisher : World Scientific
ISBN 13 : 9789810213978
Total Pages : 420 pages
Book Rating : 4.2/5 (139 download)

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Book Synopsis Field Theory by : Ashok Das

Download or read book Field Theory written by Ashok Das and published by World Scientific. This book was released on 1993 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traditionally, field theory is taught through canonical quantization with a heavy emphasis on high energy physics. However, the techniques of field theory are applicable as well and are extensively used in various other areas of physics such as consdensed matter, nuclear physics and statistical mechanics. The path integral approach brings out this feature most clearly. In this book, the path integral approach is developed in detail completely within the context of quantum mechanics. Subsequently, it is applied to various areas of physics.

Feynman's Thesis

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Publisher : World Scientific
ISBN 13 : 9812563660
Total Pages : 142 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Feynman's Thesis by : Richard Phillips Feynman

Download or read book Feynman's Thesis written by Richard Phillips Feynman and published by World Scientific. This book was released on 2005 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Richard Feynman's never previously published doctoral thesis formed the heart of much of his brilliant and profound work in theoretical physics. Entitled ?The Principle of Least Action in Quantum Mechanics," its original motive was to quantize the classical action-at-a-distance electrodynamics. Because that theory adopted an overall space?time viewpoint, the classical Hamiltonian approach used in the conventional formulations of quantum theory could not be used, so Feynman turned to the Lagrangian function and the principle of least action as his points of departure.The result was the path integral approach, which satisfied ? and transcended ? its original motivation, and has enjoyed great success in renormalized quantum field theory, including the derivation of the ubiquitous Feynman diagrams for elementary particles. Path integrals have many other applications, including atomic, molecular, and nuclear scattering, statistical mechanics, quantum liquids and solids, Brownian motion, and noise theory. It also sheds new light on fundamental issues like the interpretation of quantum theory because of its new overall space?time viewpoint.The present volume includes Feynman's Princeton thesis, the related review article ?Space?Time Approach to Non-Relativistic Quantum Mechanics? [Reviews of Modern Physics 20 (1948), 367?387], Paul Dirac's seminal paper ?The Lagrangian in Quantum Mechanics'' [Physikalische Zeitschrift der Sowjetunion, Band 3, Heft 1 (1933)], and an introduction by Laurie M Brown.

Quantum Field Theory

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Publisher : John Wiley & Sons
ISBN 13 : 3527617388
Total Pages : 446 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Quantum Field Theory by : Kerson Huang

Download or read book Quantum Field Theory written by Kerson Huang and published by John Wiley & Sons. This book was released on 2008-09-26 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Path Integral Quantization and Stochastic Quantization

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Publisher : Springer Science & Business Media
ISBN 13 : 3540878513
Total Pages : 286 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Path Integral Quantization and Stochastic Quantization by : Michio Masujima

Download or read book Path Integral Quantization and Stochastic Quantization written by Michio Masujima and published by Springer Science & Business Media. This book was released on 2008-11-21 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we discuss the path integral quantization and the stochastic quantization of classical mechanics and classical field theory. Forthe description ofthe classical theory, we have two methods, one based on the Lagrangian formalism and the other based on the Hamiltonian formal ism. The Hamiltonian formalism is derived from the Lagrangian·formalism. In the standard formalism ofquantum mechanics, we usually make use ofthe Hamiltonian formalism. This fact originates from the following circumstance which dates back to the birth of quantum mechanics. The first formalism ofquantum mechanics is Schrodinger's wave mechan ics. In this approach, we regard the Hamilton-Jacobi equation of analytical mechanics as the Eikonal equation of "geometrical mechanics". Based on the optical analogy, we obtain the Schrodinger equation as a result ofthe inverse of the Eikonal approximation to the Hamilton-Jacobi equation, and thus we arrive at "wave mechanics". The second formalism ofquantum mechanics is Heisenberg's "matrix me chanics". In this approach, we arrive at the Heisenberg equation of motion from consideration of the consistency of the Ritz combination principle, the Bohr quantization condition and the Fourier analysis of a physical quantity. These two formalisms make up the Hamiltonian.formalism of quantum me chanics.

Techniques and Applications of Path Integration

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Publisher : Courier Corporation
ISBN 13 : 0486137023
Total Pages : 434 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Techniques and Applications of Path Integration by : L. S. Schulman

Download or read book Techniques and Applications of Path Integration written by L. S. Schulman and published by Courier Corporation. This book was released on 2012-10-10 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantization of Gauge Systems

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Publisher : Princeton University Press
ISBN 13 : 9780691037691
Total Pages : 556 pages
Book Rating : 4.0/5 (376 download)

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Book Synopsis Quantization of Gauge Systems by : Marc Henneaux

Download or read book Quantization of Gauge Systems written by Marc Henneaux and published by Princeton University Press. This book was released on 1992 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a systematic study of the classical and quantum theories of gauge systems. It starts with Dirac's analysis showing that gauge theories are constrained Hamiltonian systems. The classical foundations of BRST theory are then laid out with a review of the necessary concepts from homological algebra. Reducible gauge systems are discussed, and the relationship between BRST cohomology and gauge invariance is carefully explained. The authors then proceed to the canonical quantization of gauge systems, first without ghosts (reduced phase space quantization, Dirac method) and second in the BRST context (quantum BRST cohomology). The path integral is discussed next. The analysis covers indefinite metric systems, operator insertions, and Ward identities. The antifield formalism is also studied and its equivalence with canonical methods is derived. The examples of electromagnetism and abelian 2-form gauge fields are treated in detail. The book gives a general and unified treatment of the subject in a self-contained manner. Exercises are provided at the end of each chapter, and pedagogical examples are covered in the text.