Feynman's Operational Calculus and Beyond

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Author :
Publisher : Oxford Mathematical Monographs
ISBN 13 : 0198702493
Total Pages : 385 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis Feynman's Operational Calculus and Beyond by : Gerald W. Johnson

Download or read book Feynman's Operational Calculus and Beyond written by Gerald W. Johnson and published by Oxford Mathematical Monographs. This book was released on 2015 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Feynman Integral and Feynman's Operational Calculus

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Author :
Publisher : Clarendon Press
ISBN 13 : 0191546267
Total Pages : 790 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis The Feynman Integral and Feynman's Operational Calculus by : Gerald W. Johnson

Download or read book The Feynman Integral and Feynman's Operational Calculus written by Gerald W. Johnson and published by Clarendon Press. This book was released on 2000-03-16 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Theory of Feynman Path Integrals

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Author :
Publisher : Springer
ISBN 13 : 3540769560
Total Pages : 184 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Mathematical Theory of Feynman Path Integrals by : Sergio Albeverio

Download or read book Mathematical Theory of Feynman Path Integrals written by Sergio Albeverio and published by Springer. This book was released on 2008-05-06 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Abstracts of Papers Presented to the American Mathematical Society

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Publisher :
ISBN 13 :
Total Pages : 784 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Abstracts of Papers Presented to the American Mathematical Society by : American Mathematical Society

Download or read book Abstracts of Papers Presented to the American Mathematical Society written by American Mathematical Society and published by . This book was released on 2008 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastics in Finite and Infinite Dimensions

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Publisher : Springer Science & Business Media
ISBN 13 : 1461201675
Total Pages : 436 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Stochastics in Finite and Infinite Dimensions by : Takeyuki Hida

Download or read book Stochastics in Finite and Infinite Dimensions written by Takeyuki Hida and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last fifty years, Gopinath Kallianpur has made extensive and significant contributions to diverse areas of probability and statistics, including stochastic finance, Fisher consistent estimation, non-linear prediction and filtering problems, zero-one laws for Gaussian processes and reproducing kernel Hilbert space theory, and stochastic differential equations in infinite dimensions. To honor Kallianpur's pioneering work and scholarly achievements, a number of leading experts have written research articles highlighting progress and new directions of research in these and related areas. This commemorative volume, dedicated to Kallianpur on the occasion of his seventy-fifth birthday, will pay tribute to his multi-faceted achievements and to the deep insight and inspiration he has so graciously offered his students and colleagues throughout his career. Contributors to the volume: S. Aida, N. Asai, K. B. Athreya, R. N. Bhattacharya, A. Budhiraja, P. S. Chakraborty, P. Del Moral, R. Elliott, L. Gawarecki, D. Goswami, Y. Hu, J. Jacod, G. W. Johnson, L. Johnson, T. Koski, N. V. Krylov, I. Kubo, H.-H. Kuo, T. G. Kurtz, H. J. Kushner, V. Mandrekar, B. Margolius, R. Mikulevicius, I. Mitoma, H. Nagai, Y. Ogura, K. R. Parthasarathy, V. Perez-Abreu, E. Platen, B. V. Rao, B. Rozovskii, I. Shigekawa, K. B. Sinha, P. Sundar, M. Tomisaki, M. Tsuchiya, C. Tudor, W. A. Woycynski, J. Xiong.

Operator Algebras and Mathematical Physics

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Publisher :
ISBN 13 :
Total Pages : 564 pages
Book Rating : 4.:/5 (5 download)

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Book Synopsis Operator Algebras and Mathematical Physics by : Palle E. T. Jørgensen

Download or read book Operator Algebras and Mathematical Physics written by Palle E. T. Jørgensen and published by . This book was released on 1987 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers presented at the University of Iowa 1985 Summer Conference in honor of H.-J. Borchers, N. M. Hugenholtz, R. V. Kadison, and D. Kastler and gives a systematic, up-to-date treatment of the fruitful interaction that the last two decades have brought between operator algebras and mathematical physics. Special attention is paid to an overview of the algebraic approach to quantum field theory and in particular, to quantum statistical mechanics. More than half the papers culminate with a presentation of new results which have not appeared previously in journals, and with a few exceptions, these new results are presented with complete proofs. This book is addressed to graduate students and researchers working in a broad spectrum of areas in mathematics and mathematical physics. Functional analysis, operator algebras, operator theory, differential geometry, cyclic cohomology, $K$-theory, and index theory are applied to questions in the quantum theory of fields and statistical mechanics. The individual papers are self-contained, but the reader should have some familiarity with the basic concepts of functional analysis and operator theory, although no physics background is assumed.

Stochastic Processes, Physics and Geometry: New Interplays. II

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821819609
Total Pages : 650 pages
Book Rating : 4.8/5 (196 download)

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Book Synopsis Stochastic Processes, Physics and Geometry: New Interplays. II by : Sergio Albeverio

Download or read book Stochastic Processes, Physics and Geometry: New Interplays. II written by Sergio Albeverio and published by American Mathematical Soc.. This book was released on 2000 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume and Stochastic Processes, Physics and Geometry: New Interplays I present state-of-the-art research currently unfolding at the interface between mathematics and physics. Included are select articles from the international conference held in Leipzig (Germany) in honor of Sergio Albeverio's sixtieth birthday. The theme of the conference, "Infinite Dimensional (Stochastic) Analysis and Quantum Physics", was chosen to reflect Albeverio's wide-ranging scientific interests. The articles in these books reflect that broad range of interests and provide a detailed overview highlighting the deep interplay among stochastic processes, mathematical physics, and geometry. The contributions are written by internationally recognized experts in the fields of stochastic analysis, linear and nonlinear (deterministic and stochastic) PDEs, infinite dimensional analysis, functional analysis, commutative and noncommutative probability theory, integrable systems, quantum and statistical mechanics, geometric quantization, and neural networks. Also included are applications in biology and other areas. Most of the contributions are high-level research papers. However, there are also some overviews on topics of general interest. The articles selected for publication in these volumes were specifically chosen to introduce readers to advanced topics, to emphasize interdisciplinary connections, and to stress future research directions. Volume I contains contributions from invited speakers; Volume II contains additional contributed papers. Members of the Canadian Mathematical Society may order at the AMS member price.

Path Summation

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Publisher : World Scientific Publishing Company
ISBN 13 :
Total Pages : 544 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Path Summation by : Stig Lundqvist

Download or read book Path Summation written by Stig Lundqvist and published by World Scientific Publishing Company. This book was released on 1988 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Feynman Path Integrals And Their Applications (Second Edition)

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Publisher : World Scientific
ISBN 13 : 9811214808
Total Pages : 360 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Mathematical Feynman Path Integrals And Their Applications (Second Edition) by : Sonia Mazzucchi

Download or read book Mathematical Feynman Path Integrals And Their Applications (Second Edition) written by Sonia Mazzucchi and published by World Scientific. This book was released on 2021-11-16 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Ordinary and Partial Differential Equations

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Publisher :
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Ordinary and Partial Differential Equations by :

Download or read book Ordinary and Partial Differential Equations written by and published by . This book was released on 1993 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Generalized Dyson Series, Generalized Feynman Diagrams, the Feynman Integral and Feynman's Operational Calculus

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821824139
Total Pages : 88 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Generalized Dyson Series, Generalized Feynman Diagrams, the Feynman Integral and Feynman's Operational Calculus by : Gerald W. Johnson

Download or read book Generalized Dyson Series, Generalized Feynman Diagrams, the Feynman Integral and Feynman's Operational Calculus written by Gerald W. Johnson and published by American Mathematical Soc.. This book was released on 1986 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Symposium "Partial Differential Equations"

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Publisher : B. G. Teubner Gmbh
ISBN 13 :
Total Pages : 322 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Symposium "Partial Differential Equations" by : Karl-Weierstrass-Institut für Mathematik

Download or read book Symposium "Partial Differential Equations" written by Karl-Weierstrass-Institut für Mathematik and published by B. G. Teubner Gmbh. This book was released on 1989 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Statistics: Exercises and Solutions

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Publisher : Springer
ISBN 13 :
Total Pages : 482 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Mathematical Statistics: Exercises and Solutions by : Persi Diaconis

Download or read book Mathematical Statistics: Exercises and Solutions written by Persi Diaconis and published by Springer. This book was released on 1988 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: The exercises are grouped into seven chapters with titles matching those in the author's Mathematical Statistics. Can also be used as a stand-alone because exercises and solutions are comprehensible independently of their source, and notation and terminology are explained in the front of the book. Suitable for self-study for a statistics Ph.D. qualifying exam.

Notices of the American Mathematical Society

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Publisher :
ISBN 13 :
Total Pages : 728 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Notices of the American Mathematical Society by : American Mathematical Society

Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1994 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ecole d'Ete de Probabilites de Saint-Flour XV-XVII, 1985-87

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Publisher : Springer
ISBN 13 : 354046042X
Total Pages : 460 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Ecole d'Ete de Probabilites de Saint-Flour XV-XVII, 1985-87 by : Persi Diaconis

Download or read book Ecole d'Ete de Probabilites de Saint-Flour XV-XVII, 1985-87 written by Persi Diaconis and published by Springer. This book was released on 2006-11-14 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains detailed, worked-out notes of six main courses given at the Saint-Flour Summer Schools from 1985 to 1987.

International Congress of Mathematicians

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Publisher :
ISBN 13 :
Total Pages : 188 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis International Congress of Mathematicians by :

Download or read book International Congress of Mathematicians written by and published by . This book was released on 1986 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Processes

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Publisher : Springer Science & Business Media
ISBN 13 : 1461579090
Total Pages : 373 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Stochastic Processes by : Stamatis Cambanis

Download or read book Stochastic Processes written by Stamatis Cambanis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume celebrates the many contributions which Gopinath Kallianpur has made to probability and statistics. It comprises 40 chapters which taken together survey the wide sweep of ideas which have been influenced by Professor Kallianpur's writing and research.