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Author: M Chaichian
Publisher: CRC Press
ISBN: 9780367397142
Category :
Languages : en
Pages : 336
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Book Description
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: M Chaichian
Publisher: CRC Press
ISBN: 9780367397142
Category :
Languages : en
Pages : 336
Get Book Here
Book Description
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: Horacio S. Wio
Publisher: World Scientific
ISBN: 9814449040
Category : Mathematics
Languages : en
Pages : 174
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Book Description
This book provides an introductory albeit solid presentation of path integration techniques as applied to the field of stochastic processes. The subject began with the work of Wiener during the 1920''s, corresponding to a sum over random trajectories, anticipating by two decades Feynman''s famous work on the path integral representation of quantum mechanics. However, the true trigger for the application of these techniques within nonequilibrium statistical mechanics and stochastic processes was the work of Onsager and Machlup in the early 1950''s. The last quarter of the 20th century has witnessed a growing interest in this technique and its application in several branches of research, even outside physics (for instance, in economy).The aim of this book is to offer a brief but complete presentation of the path integral approach to stochastic processes. It could be used as an advanced textbook for graduate students and even ambitious undergraduates in physics. It describes how to apply these techniques for both Markov and non-Markov processes. The path expansion (or semiclassical approximation) is discussed and adapted to the stochastic context. Also, some examples of nonlinear transformations and some applications are discussed, as well as examples of rather unusual applications. An extensive bibliography is included. The book is detailed enough to capture the interest of the curious reader, and complete enough to provide a solid background to explore the research literature and start exploiting the learned material in real situations.
Author: M Chaichian
Publisher: CRC Press
ISBN: 9780750308021
Category : Science
Languages : en
Pages : 368
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Book Description
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
ISBN: 9814273570
Category : Business & Economics
Languages : en
Pages : 1626
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Book Description
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: R. J. Rivers
Publisher: Cambridge University Press
ISBN: 9780521368704
Category : Science
Languages : en
Pages : 356
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Book Description
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: Mark S. Swanson
Publisher: Courier Corporation
ISBN: 0486782301
Category : Science
Languages : en
Pages : 463
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Book Description
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: Maxine Baca Zinn
Publisher: Prentice Hall
ISBN:
Category : Psychology
Languages : en
Pages : 550
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Book Description
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.
Author: M Chaichian
Publisher: CRC Press
ISBN: 1482289504
Category : Science
Languages : en
Pages : 347
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Book Description
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: Jean Zinn-Justin
Publisher:
ISBN: 0198566751
Category : Mathematics
Languages : en
Pages : 336
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Book Description
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.
Author: Barry Simon
Publisher: American Mathematical Soc.
ISBN: 0821835823
Category : Mathematics
Languages : en
Pages : 322
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Book Description
Focuses on probabilistic foundations of the Feynman-Kac formula. Starting with main examples of Gaussian processes (the Brownian motion, the oscillatory process, and the Brownian bridge), this book presents four different proofs of the Feynman-Kac formula.
