The Feynman Integral And Feynman S Operational Calculus
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The Feynman Integral And Feynman S Operational Calculus
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Author :
language : en
Publisher: OUP Oxford
Release Date : 2000-03-16
The Feynman Integral And Feynman S Operational Calculus written by and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-03-16 with Mathematics categories.
The aim of this book is to make accessible to mathematicians, physicists and other scientists interested in qunatum theory, the beautiful but mathematically difficult subjects of the Feynman integral and Feynman's operational calculus. Some advantages of the approaches to the Feynman integral which are treated in detail in this book are the following: the existence of the Feynman integral is established for very general potentials in all four cases; under more restrictive but still broad conditions, three of these Feynman integrals agree with one another and with the unitary group from the usual approach to quantum dynamics; these same three Feynman integrals possess pleasant stability properties. Much of the material covered here was previously available only in the research literature, and the book also contains some new results. The background material in mathematics and physics that motivates the study of the Feynman integral and Feynman's operational calculus is discussed, and detailed proofs are provided for the central results.
The Feynman Integral And Feynman S Operational Calculus
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Author : M. L. Lapidus
language : en
Publisher:
Release Date : 1996
The Feynman Integral And Feynman S Operational Calculus written by M. L. Lapidus and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Feynman S Operational Calculus And Beyond
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Author : Gerald W Johnson
language : en
Publisher: OUP Oxford
Release Date : 2015-08-06
Feynman S Operational Calculus And Beyond written by Gerald W Johnson and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-06 with Science categories.
This book is aimed at providing a coherent, essentially self-contained, rigorous and comprehensive abstract theory of Feynman's operational calculus for noncommuting operators. Although it is inspired by Feynman's original heuristic suggestions and time-ordering rules in his seminal 1951 paper An operator calculus having applications in quantum electrodynamics, as will be made abundantly clear in the introduction (Chapter 1) and elsewhere in the text, the theory developed in this book also goes well beyond them in a number of directions which were not anticipated in Feynman's work. Hence, the second part of the main title of this book. The basic properties of the operational calculus are developed and certain algebraic and analytic properties of the operational calculus are explored. Also, the operational calculus will be seen to possess some pleasant stability properties. Furthermore, an evolution equation and a generalized integral equation obeyed by the operational calculus are discussed and connections with certain analytic Feynman integrals are noted. This volume is essentially self-contained and we only assume that the reader has a reasonable, graduate level, background in analysis, measure theory and functional analysis or operator theory. Much of the necessary remaining background is supplied in the text itself.
Generalized Dyson Series Generalized Feynman Diagrams The Feynman Integral And Feynman S Operational Calculus
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Author : Gerald W. Johnson
language : en
Publisher: American Mathematical Soc.
Release Date : 1986
Generalized Dyson Series Generalized Feynman Diagrams The Feynman Integral And Feynman S Operational Calculus written by Gerald W. Johnson and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
The basic purpose of the paper is to construct, for the indicated integrals, series expansions in terms of finite multiple integrals of increasing multiplicity ("generalized Dyson series''). The authors study in detail the character of these expansions in the case when the measure [lowercase Greek]Eta = [lowercase Greek]Mu + [lowercase Greek]Nu contains, in addition to a continuous part [lowercase Greek]Mu, a discrete part [lowercase Greek]Nu as well. Using generalized Feynman diagrams they give a graphical description of the expansions obtained; they also describe the Banach algebra generated by the functionals under consideration and establish connections with Feynman's operational calculus.
Generalized Dyson Series Generalized Feynman S Diagrams The Feynman Integral And Feynman S Operational Calculus
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Author : Gerald W. Johnson
language : en
Publisher:
Release Date : 1985
Generalized Dyson Series Generalized Feynman S Diagrams The Feynman Integral And Feynman S Operational Calculus written by Gerald W. Johnson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Commutative algebra categories.
Feynman S Operational Calculus Generalized Dyson Series And The Feynman Integral
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Author : Mathematical Sciences Research Institute (Berkeley, Calif.).
language : en
Publisher:
Release Date : 1985
Feynman S Operational Calculus Generalized Dyson Series And The Feynman Integral written by Mathematical Sciences Research Institute (Berkeley, Calif.). and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
Mathematical Theory Of Feynman Path Integrals
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Author : Sergio Albeverio
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-05-30
Mathematical Theory Of Feynman Path Integrals written by Sergio Albeverio 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 2008-05-30 with Mathematics categories.
The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. An entire new chapter on the current forefront of research has been added. Except for this new chapter and the correction of a few misprints, the basic material and presentation of the first edition has been maintained. At the end of each chapter the reader will also find notes with further bibliographical information.
Mathematical Feynman Path Integrals And Their Applications Second Edition
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Author : Sonia Mazzucchi
language : en
Publisher: World Scientific
Release Date : 2021-11-16
Mathematical Feynman Path Integrals And Their Applications Second Edition 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 2021-11-16 with Science categories.
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.
Stochastic Processes Physics And Geometry New Interplays Ii
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Author : Sergio Albeverio
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
Stochastic Processes Physics And Geometry New Interplays Ii written by Sergio Albeverio and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
The second of two volumes with selected treatments of the conference theme, Infinite Dimensional (Stochastic) Analysis and Quantum Physics, which positions scientists at the interface of mathematics and physics. The 57 papers discuss such topics as the valuation of bonds and options under floating interest rate, the loop group factorization of biorthogonal wavelet bases, asymptotic properties of the maximal sub-interval of a Poisson process, generalized configuration spaces for quantum systems, Sobolev spaces and the capacity theory of path spaces, representing coherent state in white noise calculus, and the analytic quantum information manifold. There is no index. The first volume contains contributions of invited speakers. Annotation copyrighted by Book News, Inc., Portland, OR
Stochastic Analysis And Mathematical Physics Samp Anestoc 2002
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Author : Rolando Rebolledo
language : en
Publisher: World Scientific
Release Date : 2004-09-15
Stochastic Analysis And Mathematical Physics Samp Anestoc 2002 written by Rolando Rebolledo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-09-15 with Science categories.
The book collects a series of papers centered on two main streams: Feynman path integral approach to Quantum Mechanics and statistical mechanics of quantum open systems. Key authors discuss the state-of-the-art within their fields of expertise. In addition, the volume includes a number of contributed papers with new results, which have been thoroughly refereed.The contributions in this volume highlight emergent research in the area of stochastic analysis and mathematical physics, focusing, in particular on Feynman functional integral approach and, on the other hand, in quantum probability. The book is addressed to an audience of mathematical physicists, as well as specialists in probability theory, stochastic analysis and operator algebras.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences