The Feynman Integral and Feynman's Operational Calculus - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Feynman Integral and Feynman's Operational Calculus write by Gerald W. Johnson. This book was released on 2000-03-16. The Feynman Integral and Feynman's Operational Calculus available 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.
Feynman's Operational Calculus and Beyond
Feynman's Operational Calculus and Beyond - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Feynman's Operational Calculus and Beyond write by Gerald W Johnson. This book was released on 2015-08-06. Feynman's Operational Calculus and Beyond available 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.
Generalized Dyson Series, Generalized Feynman Diagrams, the Feynman Integral and Feynman's Operational Calculus
Generalized Dyson Series, Generalized Feynman Diagrams, the Feynman Integral and Feynman's Operational Calculus - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Generalized Dyson Series, Generalized Feynman Diagrams, the Feynman Integral and Feynman's Operational Calculus write by Gerald W. Johnson. This book was released on 1986. Generalized Dyson Series, Generalized Feynman Diagrams, the Feynman Integral and Feynman's Operational Calculus available 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.
The Feynman Integral and Feynman's Operational Calculus
The Feynman Integral and Feynman's Operational Calculus - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Feynman Integral and Feynman's Operational Calculus write by M. L. Lapidus. This book was released on 1996. The Feynman Integral and Feynman's Operational Calculus available in PDF, EPUB and Kindle.
Feynman's Operational Calculus and Beyond
Feynman's Operational Calculus and Beyond - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Feynman's Operational Calculus and Beyond write by Gerald W. Johnson. This book was released on 2015. Feynman's Operational Calculus and Beyond available 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.
