Path Integrals And Stochastic Processes In Theoretical Physics PDF Download
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| Author | : M Chaichian |
| Publisher | : CRC Press |
| Total Pages | : 336 |
| Release | : 2018-10-03 |
| Genre | : Science |
| ISBN | : 1482289504 |
Download Path Integrals in Physics Book in PDF, ePub and Kindle
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 | : Michio Masujima |
| Publisher | : Feshbach Pub. |
| Total Pages | : 829 |
| Release | : 2007-01-01 |
| Genre | : Path integrals |
| ISBN | : 9780976202134 |
Download Path Integrals and Stochastic Processes in Theoretical Physics Book in PDF, ePub and Kindle
| Author | : Horacio S. Wio |
| Publisher | : World Scientific |
| Total Pages | : 174 |
| Release | : 2013 |
| Genre | : Mathematics |
| ISBN | : 9814449040 |
Download Path Integrals for Stochastic Processes Book in PDF, ePub and Kindle
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 |
| Total Pages | : 420 |
| Release | : 2001-07-01 |
| Genre | : Science |
| ISBN | : 9780750307130 |
Download Path Integrals in Physics Book in PDF, ePub and Kindle
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. 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 | : Masud Chaichian |
| Publisher | : |
| Total Pages | : 336 |
| Release | : 2001 |
| Genre | : |
| ISBN | : |
Download Path Integrals in Physics Book in PDF, ePub and Kindle
| Author | : Ioannis A. Kougioumtzoglou |
| Publisher | : Springer |
| Total Pages | : 0 |
| Release | : 2024-06-29 |
| Genre | : Science |
| ISBN | : 9783031578625 |
Download Path Integrals in Stochastic Engineering Dynamics Book in PDF, ePub and Kindle
This book organizes and explains, in a systematic and pedagogically effective manner, recent advances in path integral solution techniques with applications in stochastic engineering dynamics. It fills a gap in the literature by introducing to the engineering mechanics community, for the first time in the form of a book, the Wiener path integral as a potent uncertainty quantification tool. Since the path integral flourished within the realm of quantum mechanics and theoretical physics applications, most books on the topic have focused on the complex-valued Feynman integral with only few exceptions, which present path integrals from a stochastic processes perspective. Remarkably, there are only few papers, and no books, dedicated to path integral as a solution technique in stochastic engineering dynamics. Summarizing recently developed techniques, this volume is ideal for engineering analysts interested in further establishing path integrals as an alternative potent conceptual and computational vehicle in stochastic engineering dynamics.
| Author | : Gert Roepstorff |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 400 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 3642578861 |
Download Path Integral Approach to Quantum Physics Book in PDF, ePub and Kindle
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 |
| Publisher | : CRC Press |
| Total Pages | : 359 |
| Release | : 2018-10-08 |
| Genre | : Science |
| ISBN | : 1482268914 |
Download Path Integrals in Physics Book in PDF, ePub and Kindle
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 | : Masud Chaichian |
| Publisher | : |
| Total Pages | : |
| Release | : 2001 |
| Genre | : Path integrals |
| ISBN | : |
Download Path Integrals in Physics: Stochastic processes and quantum mechanics Book in PDF, ePub and Kindle
| Author | : Sonia Mazzucchi |
| Publisher | : World Scientific |
| Total Pages | : 360 |
| Release | : 2021-11-16 |
| Genre | : Science |
| ISBN | : 9811214808 |
Download Mathematical Feynman Path Integrals And Their Applications (Second Edition) Book in PDF, ePub and Kindle
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.
