Mathematical Feynman Path Integrals And Their Applications (Second Edition)
- ISBN-10
- 9811214808
- ISBN-13
- 9789811214806
- Category
- Science
- Pages
- 360
- Language
- English
- Published
- 2021-11-16
- Publisher
- World Scientific
- Author
- Sonia Mazzucchi
Description
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.
Get the book
Similar books
-
Mathematical Feynman Path Integrals and Their Applications
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 ...
-
Mathematical Theory of Feynman Path Integrals: An Introduction
By Sergio Albeverio, Sonia Mazzucchi, Rafael Høegh-Krohn(French) [On semiclassical approximation] Progress in Mathematics, 68. ... G. Roepstorff, Path integral approach to quantum physics. ... Stochastic analysis and mathematical physics (SAMP/ANESTOC 2002), 285–303, World Sci.
-
Path-integral Methods and Their Applications
By D. C. Khandekar, S. V. Lawande, K. V. BhagwatThis book presents the major developments in this field with emphasis on application of path integration methods in diverse areas.
-
Mathematical Theory of Feynman Path Integrals
By Sergio A. Albeverio, Raphael J. Høegh-KrohnThe 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976.
-
Quantum Mechanics and Path Integrals
By Richard P. Feynman, Daniel F. Styer, Albert R. HibbsLooks at quantum mechanics, covering such topics as perturbation method, statistical mechanics, path integrals, and quantum electrodynamics.
-
Techniques and Applications of Path Integration
By L. S. SchulmanSuitable 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 Integrals in Physics: Volume I Stochastic Processes and Quantum Mechanics
By M Chaichian, A DemichevEach 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 Physics: Volume II Quantum Field Theory, Statistical Physics and other Modern Applications
By M Chaichian, A DemichevThe book deals with systems that have an infinite number of degrees of freedom.
-
Equivariant Cohomology and Localization of Path Integrals
By Richard J. SzaboThis book, addressing both researchers and graduate students, reviews equivariant localization techniques for the evaluation of Feynman path integrals.
-
Functional Analysis and the Feynman Operator Calculus
By Tepper Gill, Woodford Zachary... Feynman-Kac Formulas (Springer, New York, 2010) [JL] G.W. Johnson, M.L. Lapidus, The Feynman Integral and Feynman's ... type Theorems and Gibbs Measures on Path Space: With Applications to Rigorous Quantum Field Theory. De Gruyter ...