The Feynman Integral And Feynmans Operational Calculus

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The Feynman Integral and Feynman's Operational Calculus

Author : Gerald W. Johnson
Publisher : Oxford University Press on Demand
ISBN 13 : 9780198515722
Total Pages : 771 pages
Book Rating : 4.5/5 (157 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 Oxford University Press on Demand. This book was released on 2000 with total page 771 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.

The Feynman Integral and Feynman's Operational Calculus

Author : Gerald W. Johnson
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.

Feynman's Operational Calculus and Beyond

Author : Gerald W Johnson
Publisher : OUP Oxford
ISBN 13 : 0191006874
Total Pages : 385 pages
Book Rating : 4.1/5 (91 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 OUP Oxford. This book was released on 2015-08-06 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.

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

Author : Gerald W. Johnson
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.

Advanced Calculus

Author : Frederick Shenstone Woods
Publisher :
ISBN 13 :
Total Pages : 420 pages
Book Rating : 4.:/5 (5 download)

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Book Synopsis Advanced Calculus by : Frederick Shenstone Woods

Download or read book Advanced Calculus written by Frederick Shenstone Woods and published by . This book was released on 1926 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Methods of Mathematical Physics

Author : Harold Jeffreys
Publisher : Cambridge University Press
ISBN 13 : 9780521664028
Total Pages : 734 pages
Book Rating : 4.6/5 (64 download)

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Book Synopsis Methods of Mathematical Physics by : Harold Jeffreys

Download or read book Methods of Mathematical Physics written by Harold Jeffreys and published by Cambridge University Press. This book was released on 1999-11-18 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a reissue of classic textbook of mathematical methods.

Mathematical Feynman Path Integrals And Their Applications (Second Edition)

Author : Sonia Mazzucchi
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.

Feynman's Operational Calculus and Beyond

Author : Gerald W Johnson
Publisher : OUP Oxford
ISBN 13 : 0191006882
Total Pages : 439 pages
Book Rating : 4.1/5 (91 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 OUP Oxford. This book was released on 2015-08-06 with total page 439 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.

Stochastic Processes, Physics and Geometry: New Interplays. II

Author : Sergio Albeverio
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.

Probabilistic and Statistical Aspects of Quantum Theory

Author : Alexander S. Holevo
Publisher : Springer Science & Business Media
ISBN 13 : 8876423788
Total Pages : 336 pages
Book Rating : 4.8/5 (764 download)

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Book Synopsis Probabilistic and Statistical Aspects of Quantum Theory by : Alexander S. Holevo

Download or read book Probabilistic and Statistical Aspects of Quantum Theory written by Alexander S. Holevo and published by Springer Science & Business Media. This book was released on 2011-05-05 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to aspects of the foundations of quantum mechanics in which probabilistic and statistical concepts play an essential role. The main part of the book concerns the quantitative statistical theory of quantum measurement, based on the notion of positive operator-valued measures. During the past years there has been substantial progress in this direction, stimulated to a great extent by new applications such as Quantum Optics, Quantum Communication and high-precision experiments. The questions of statistical interpretation, quantum symmetries, theory of canonical commutation relations and Gaussian states, uncertainty relations as well as new fundamental bounds concerning the accuracy of quantum measurements, are discussed in this book in an accessible yet rigorous way. Compared to the first edition, there is a new Supplement devoted to the hidden variable issue. Comments and the bibliography have also been extended and updated.

Stochastic Analysis And Mathematical Physics (Samp/anestoc 2002)

Author : Rolando Rebolledo
Publisher : World Scientific
ISBN 13 : 9814481637
Total Pages : 313 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Stochastic Analysis And Mathematical Physics (Samp/anestoc 2002) by : Rolando Rebolledo

Download or read book Stochastic Analysis And Mathematical Physics (Samp/anestoc 2002) written by Rolando Rebolledo and published by World Scientific. This book was released on 2004-09-15 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Path-integral methods and their applications

Author :
Publisher : Allied Publishers
ISBN 13 : 9788177642315
Total Pages : 364 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Path-integral methods and their applications by :

Download or read book Path-integral methods and their applications written by and published by Allied Publishers. This book was released on 2002 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Processes

Author : Stamatis Cambanis
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.

Mathematical Theory of Feynman Path Integrals

Author : Sergio Albeverio
Publisher : Springer Science & Business Media
ISBN 13 : 3540769544
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 Science & Business Media. This book was released on 2008-05-30 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.

Measure and Integral

Author : Richard Wheeden
Publisher : CRC Press
ISBN 13 : 1482229536
Total Pages : 289 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Measure and Integral by : Richard Wheeden

Download or read book Measure and Integral written by Richard Wheeden and published by CRC Press. This book was released on 1977-11-01 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume develops the classical theory of the Lebesgue integral and some of its applications. The integral is initially presented in the context of n-dimensional Euclidean space, following a thorough study of the concepts of outer measure and measure. A more general treatment of the integral, based on an axiomatic approach, is later given.

Special Functions for Optical Science and Engineering

Author : Vasudevan Lakshminarayanan
Publisher : SPIE-International Society for Optical Engineering
ISBN 13 : 9781628418873
Total Pages : 0 pages
Book Rating : 4.4/5 (188 download)

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Book Synopsis Special Functions for Optical Science and Engineering by : Vasudevan Lakshminarayanan

Download or read book Special Functions for Optical Science and Engineering written by Vasudevan Lakshminarayanan and published by SPIE-International Society for Optical Engineering. This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This tutorial text is for those who use special functions in their work or study but are not mathematicians. Traditionally, special functions arise as solutions to certain linear second-order differential equations with variable coefficients. This book introduces these differential equations, their solutions, and their applications in optical science and engineering.

Stochastics in Finite and Infinite Dimensions

Author : Takeyuki Hida
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.