The Feynman Integral And Feynmans Operational Calculus PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Feynman Integral And Feynmans Operational Calculus PDF full book. Access full book title The Feynman Integral And Feynmans Operational Calculus.
Author | : Gerald W. Johnson |
Publisher | : Clarendon Press |
Total Pages | : 790 |
Release | : 2000-03-16 |
Genre | : Mathematics |
ISBN | : 0191546267 |
Download The Feynman Integral and Feynman's Operational Calculus Book in PDF, ePub and Kindle
This book provides the most comprehensive mathematical treatment to date of the Feynman path integral and Feynman's operational calculus. It is accessible to mathematicians, mathematical physicists and theoretical physicists. Including new results and much material previously only available in the research literature, this book discusses both the mathematics and physics background that motivate the study of the Feynman path integral and Feynman's operational calculus, and also provides more detailed proofs of the central results.
Author | : M. L. Lapidus |
Publisher | : |
Total Pages | : 14 |
Release | : 1996 |
Genre | : |
ISBN | : |
Download The Feynman Integral and Feynman's Operational Calculus Book in PDF, ePub and Kindle
Author | : Gerald W Johnson |
Publisher | : OUP Oxford |
Total Pages | : 368 |
Release | : 2015-08-06 |
Genre | : Science |
ISBN | : 0191006882 |
Download Feynman's Operational Calculus and Beyond Book in PDF, ePub and Kindle
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.
Author | : Gerald W. Johnson |
Publisher | : American Mathematical Soc. |
Total Pages | : 88 |
Release | : 1986 |
Genre | : Mathematics |
ISBN | : 0821824139 |
Download Generalized Dyson Series, Generalized Feynman Diagrams, the Feynman Integral and Feynman's Operational Calculus Book in PDF, ePub and Kindle
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.
Author | : Tepper Gill |
Publisher | : Springer |
Total Pages | : 354 |
Release | : 2016-03-30 |
Genre | : Mathematics |
ISBN | : 331927595X |
Download Functional Analysis and the Feynman Operator Calculus Book in PDF, ePub and Kindle
This book provides the mathematical foundations for Feynman's operator calculus and for the Feynman path integral formulation of quantum mechanics as a natural extension of analysis and functional analysis to the infinite-dimensional setting. In one application, the results are used to prove the last two remaining conjectures of Freeman Dyson for quantum electrodynamics. In another application, the results are used to unify methods and weaken domain requirements for non-autonomous evolution equations. Other applications include a general theory of Lebesgue measure on Banach spaces with a Schauder basis and a new approach to the structure theory of operators on uniformly convex Banach spaces. This book is intended for advanced graduate students and researchers.
Author | : Gerald W Johnson |
Publisher | : OUP Oxford |
Total Pages | : 368 |
Release | : 2015-08-06 |
Genre | : Science |
ISBN | : 0191006874 |
Download Feynman's Operational Calculus and Beyond Book in PDF, ePub and Kindle
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.
Author | : Vladimir A. Smirnov |
Publisher | : Springer Science & Business Media |
Total Pages | : 288 |
Release | : 2006-08-02 |
Genre | : Mathematics |
ISBN | : 3540306102 |
Download Feynman Integral Calculus Book in PDF, ePub and Kindle
The goal of the book is to summarize those methods for evaluating Feynman integrals that have been developed over a span of more than fifty years. The book characterizes the most powerful methods and illustrates them with numerous examples starting from very simple ones and progressing to nontrivial examples. The book demonstrates how to choose adequate methods and combine evaluation methods in a non-trivial way. The most powerful methods are characterized and then illustrated through numerous examples. This is an updated textbook version of the previous book (Evaluating Feynman integrals, STMP 211) of the author.
Author | : Arthur Erdelyi |
Publisher | : Courier Corporation |
Total Pages | : 112 |
Release | : 2013-07-24 |
Genre | : Mathematics |
ISBN | : 0486316327 |
Download Operational Calculus and Generalized Functions Book in PDF, ePub and Kindle
Suitable for advanced undergraduates and graduate students, this brief monograph examines elementary and convergence theories of convolution quotients, differential equations involving operator functions, exponential functions of operators. Solutions. 1962 edition.
Author | : Pierre Cartier |
Publisher | : Cambridge University Press |
Total Pages | : 7 |
Release | : 2006-11-30 |
Genre | : Science |
ISBN | : 1139462881 |
Download Functional Integration Book in PDF, ePub and Kindle
In this text, Cartier and DeWitt-Morette, using their complementary interests and expertise, successfully condense and apply the essentials of Functional Integration to a great variety of systems, showing this mathematically elusive technique to be a robust, user friendly and multipurpose tool.
Author | : Sergio Albeverio |
Publisher | : Springer |
Total Pages | : 184 |
Release | : 2008-05-06 |
Genre | : Mathematics |
ISBN | : 3540769560 |
Download Mathematical Theory of Feynman Path Integrals Book in PDF, ePub and Kindle
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.