Path Integrals In Physics
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Path Integrals In Physics
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Author : M Chaichian
language : en
Publisher: CRC Press
Release Date : 2019-08-30
Path Integrals In Physics written by M Chaichian and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-30 with categories.
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.
Path Integrals In Quantum Mechanics Statistics Polymer Physics And Financial Markets
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Author : Hagen Kleinert
language : en
Publisher: World Scientific
Release Date : 2009
Path Integrals In Quantum Mechanics Statistics Polymer Physics And Financial Markets written by Hagen Kleinert and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Business & Economics categories.
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.
Path Integrals And Quantum Processes
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Author : Mark S. Swanson
language : en
Publisher: Academic Press
Release Date : 2012-12-02
Path Integrals And Quantum Processes written by Mark S. Swanson and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
In a clearly written and systematic presentation, Path Integrals and Quantum Processes covers all concepts necessary to understand the path integral approach to calculating transition elements, partition functions, and source functionals. The book, which assumes only a familiarity with quantum mechanics, is ideal for use as a supplemental textbook in quantum mechanics and quantum field theory courses. Graduate and post-graduate students who are unfamiliar with the path integral will also benefit from this contemporary text. Exercise sets are interspersed throughout the text to facilitate self-study. - Explicates the relationship between the operator and path integral formulations of quantum mechanics and quantum field theory - Provides a systematic and detailed presentation of Grassmann variables - Covers Dirac's method of constraints and the relationship of ghosts, gauge invariance, and gauge conditions in gauge field theory - Includes applications to statistical mechanics, the effective action and potential, and anomaly analysis
Techniques And Applications Of Path Integration
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Author : L. S. Schulman
language : en
Publisher: Courier Corporation
Release Date : 2012-10-10
Techniques And Applications Of Path Integration written by L. S. Schulman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-10 with Science categories.
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.
Path Integral Approach To Quantum Physics
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Author : Gert Roepstorff
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Path Integral Approach To Quantum Physics written by Gert Roepstorff and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
This book has been written twice. After having written and published it in German in 1990, I started allover again and rewrote the whole story for an English speaking audience. During the first round I received encouraging words and critical remarks from students and colleagues alike which have helped to sustain me the second time around. In the preface the author usually states that his or her book resulted from a course that he or she gave at some university. I cannot claim that the present book is any exception to the rule. But I expanded and remodelled the original material which circulated as a manuscript so that the printed version would follow a more stringent and coherent architectural plan. In doing so I have concentrated on the conceptual problems inherent in the path integral formalism rather than on certain highly specialized techniques used in applications. Nevertheless, I have also included those methods that are of fundamental interest and have treated specific problems mainly to illustrate them.
Path Integrals And Anomalies In Curved Space
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Author : Fiorenzo Bastianelli
language : en
Publisher: Cambridge University Press
Release Date : 2006-07-20
Path Integrals And Anomalies In Curved Space written by Fiorenzo Bastianelli and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-20 with Science categories.
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.
Path Integral Methods In Quantum Field Theory
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Author : R. J. Rivers
language : en
Publisher: Cambridge University Press
Release Date : 1988-10-27
Path Integral Methods In Quantum Field Theory written by R. J. Rivers and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-10-27 with Science categories.
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.
Techniques And Applications Of Path Integration
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Author : L. S. Schulman
language : en
Publisher: Courier Corporation
Release Date : 2005-12-27
Techniques And Applications Of Path Integration written by L. S. Schulman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-27 with Science categories.
Suitable for advanced undergraduates and graduate students, this text requires only a first course in quantum mechanics. The first part develops the techniques of path integration; the second section, dealing with applications, covers a host of illustrative examples. 26 figures. 1981 edition.
Path Integrals And Quantum Anomalies
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Author : Kazuo Fujikawa
language : en
Publisher: Clarendon Press
Release Date : 2004-04-29
Path Integrals And Quantum Anomalies written by Kazuo Fujikawa and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-29 with Science categories.
The Feynman path integrals are becoming increasingly important in the applications of quantum mechanics and field theory. The path integral formulation of quantum anomalies, i.e. the quantum breaking of certain symmetries, can now cover all the known quantum anomalies in a coherent manner. In this book the authors provide an introduction to the path integral method in quantum field theory and its applications to the analyses of quantum anomalies. No previous knowledge of fieldtheory beyond the advanced undergraduate quantum mechanics is assumed. The book provides the first coherent introductory treatment of the path integral formulation of chiral and Weyl anomalies, with applications to gauge theory in two and four dimensions, conformal field theory and string theory. Explicitand elementary path integral calculations of most of the quantum anomalies covered are given. The conceptual basis of the path integral bosonization in two-dimensional theory, which may have applications to condensed matter theory, for example, is clarified. The book also covers the recent interesting developments in the treatment of fermions and chiral anomalies in lattice gauge theory.
Mathematical Feynman Path Integrals And Their Applications
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Author : Sonia Mazzucchi
language : en
Publisher: World Scientific
Release Date : 2009
Mathematical Feynman Path Integrals And Their Applications written by Sonia Mazzucchi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Science categories.
Although more than 60 years have passed since their first appearance, Feynman path integrals have yet to lose their fascination and luster. They are not only a formidable instrument of theoretical physics, but also a mathematical challenge; in fact, several mathematicians in the last 40 years have devoted their efforts to the rigorous mathematical definition of Feynman's ideas. This volume provides a detailed, self-contained description of the mathematical difficulties as well as the possible techniques used to solve these difficulties. In particular, it gives a complete overview of the mathematical realization of Feynman path integrals in terms of well-defined functional integrals, that is, the infinite dimensional oscillatory integrals. It contains the traditional results on the topic as well as the more recent developments obtained by the author. Mathematical Feynman Path Integrals and Their Applications is devoted to both mathematicians and physicists, graduate students and researchers who are interested in the problem of mathematical foundations of Feynman path integrals.