Path Integral Methods

Author : R. J. Rivers
Publisher : Cambridge University Press
ISBN 13 : 9780521368704
Total Pages : 356 pages
Book Rating : 4.07/5 ( download)

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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.

Author : L. S. Schulman
Publisher : Courier Corporation
ISBN 13 : 0486137023
Total Pages : 434 pages
Book Rating : 4.25/5 ( download)

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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.

Author : Hagen Kleinert
Publisher : World Scientific
ISBN 13 : 9814273570
Total Pages : 1626 pages
Book Rating : 4.72/5 ( download)

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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.

Author : Frederik W. Wiegel
Publisher : World Scientific
ISBN 13 : 9789971978709
Total Pages : 226 pages
Book Rating : 4.09/5 ( download)

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Download or read book Introduction to Path-integral Methods in Physics and Polymer Science written by Frederik W. Wiegel and published by World Scientific. This book was released on 1986 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Mark S. Swanson
Publisher : Courier Corporation
ISBN 13 : 0486782301
Total Pages : 464 pages
Book Rating : 4.00/5 ( download)

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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 464 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.

Author : Richard Phillips Feynman
Publisher :
ISBN 13 : 9780071139489
Total Pages : 0 pages
Book Rating : 4.86/5 ( download)

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Download or read book Quantum Mechanics and Path Integrals [by] R.P. Feynman [and] A.R. Hibbs written by Richard Phillips Feynman and published by . This book was released on 1965 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Taro Kashiwa
Publisher :
ISBN 13 : 9780198517719
Total Pages : 230 pages
Book Rating : 4.18/5 ( download)

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Download or read book Path Integral Methods written by Taro Kashiwa and published by . This book was released on 1997 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing a self-contained step-by-step explanation, this book provides a guide to path integral methods for readers with a basic knowledge of quantum mechanics

Author : Herbert W. Hamber
Publisher : Springer Science & Business Media
ISBN 13 : 354085293X
Total Pages : 342 pages
Book Rating : 4.33/5 ( download)

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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.

Author : Daisuke Fujiwara
Publisher : Springer
ISBN 13 : 4431565531
Total Pages : 333 pages
Book Rating : 4.36/5 ( download)

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Download or read book Rigorous Time Slicing Approach to Feynman Path Integrals written by Daisuke Fujiwara and published by Springer. This book was released on 2017-06-24 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book proves that Feynman's original definition of the path integral actually converges to the fundamental solution of the Schrödinger equation at least in the short term if the potential is differentiable sufficiently many times and its derivatives of order equal to or higher than two are bounded. The semi-classical asymptotic formula up to the second term of the fundamental solution is also proved by a method different from that of Birkhoff. A bound of the remainder term is also proved.The Feynman path integral is a method of quantization using the Lagrangian function, whereas Schrödinger's quantization uses the Hamiltonian function. These two methods are believed to be equivalent. But equivalence is not fully proved mathematically, because, compared with Schrödinger's method, there is still much to be done concerning rigorous mathematical treatment of Feynman's method. Feynman himself defined a path integral as the limit of a sequence of integrals over finite-dimensional spaces which is obtained by dividing the time interval into small pieces. This method is called the time slicing approximation method or the time slicing method.This book consists of two parts. Part I is the main part. The time slicing method is performed step by step in detail in Part I. The time interval is divided into small pieces. Corresponding to each division a finite-dimensional integral is constructed following Feynman's famous paper. This finite-dimensional integral is not absolutely convergent. Owing to the assumption of the potential, it is an oscillatory integral. The oscillatory integral techniques developed in the theory of partial differential equations are applied to it. It turns out that the finite-dimensional integral gives a finite definite value. The stationary phase method is applied to it. Basic properties of oscillatory integrals and the stationary phase method are explained in the book in detail.Those finite-dimensional integrals form a sequence of approximation of the Feynman path integral when the division goes finer and finer. A careful discussion is required to prove the convergence of the approximate sequence as the length of each of the small subintervals tends to 0. For that purpose the book uses the stationary phase method of oscillatory integrals over a space of large dimension, of which the detailed proof is given in Part II of the book. By virtue of this method, the approximate sequence converges to the limit. This proves that the Feynman path integral converges. It turns out that the convergence occurs in a very strong topology. The fact that the limit is the fundamental solution of the Schrödinger equation is proved also by the stationary phase method. The semi-classical asymptotic formula naturally follows from the above discussion.A prerequisite for readers of this book is standard knowledge of functional analysis. Mathematical techniques required here are explained and proved from scratch in Part II, which occupies a large part of the book, because they are considerably different from techniques usually used in treating the Schrödinger equation.

Author : Maxine Baca Zinn
Publisher : Pearson College Division
ISBN 13 : 9780205706679
Total Pages : pages
Book Rating : 4.73/5 ( download)

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Download or read book Gender Through the Prism of Difference- (Value Pack W/MySearchLab) written by Maxine Baca Zinn and published by Pearson College Division. This book was released on 2008-12 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: MySearchLab provides students with a complete understanding of the research process so they can complete research projects confidently and efficiently. Students and instructors with an internet connection can visit www.MySearchLab.com and receive immediate access to thousands of full articles from the EBSCO ContentSelect database. In addition, MySearchLab offers extensive content on the research process itself—including tips on how to navigate and maximize time in the campus library, a step-by-step guide on writing a research paper, and instructions on how to finish an academic assignment with endnotes and bibliography. This engaging collection of readings presents a multifaceted view of contemporary gender relations. Using other inequalities such as race, class, and sexual orientation as a prism of difference, the readings present gender as it is situated in sexual, racial-ethnic, social class, physical abilities, age, and national citizenship contexts. In addition to articles about men, women, and sexual, and immigrant diversity, this reader also includes works on gender and globalization. The editors introduce this wide-ranging collection with a provocative analytical introduction that sets the stage for understanding gender as a socially constructed experience. Takes a sociological perspective on contemporary gender relations. Emphasizes the theme of difference or how other inequalities such as race, class, or age affect our gendered experiences. Presents a discussion of women's and men's issues. Includes articles on international and transnational factors in addition to the articles on U.S. gender relations. For anyone interested in Sociology of Gender, Women's Studies, Gender Roles, Sociology of Women, Women in Society, Race, Class, and Gender, Diversity, Feminist Theory, and Social Inequality.