Feynman-Kac Formula with Lebesgue-Stieltjes Measure
Author | : Michel Laurent Lapidus |
Publisher | : |
Total Pages | : 55 |
Release | : 1987* |
Genre | : |
ISBN | : |
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Author | : Michel Laurent Lapidus |
Publisher | : |
Total Pages | : 55 |
Release | : 1987* |
Genre | : |
ISBN | : |
Author | : Michel Laurent Lapidus |
Publisher | : |
Total Pages | : 18 |
Release | : 1985* |
Genre | : |
ISBN | : |
Author | : Mathematical Sciences Research Institute (Berkeley, Calif.). |
Publisher | : |
Total Pages | : 81 |
Release | : 1986 |
Genre | : |
ISBN | : |
Author | : Troy D. Riggs |
Publisher | : |
Total Pages | : 142 |
Release | : 1993 |
Genre | : |
ISBN | : |
Author | : Michel L. Lapidus |
Publisher | : |
Total Pages | : 81 |
Release | : 1985 |
Genre | : |
ISBN | : |
Author | : Mathematical Sciences Research Institute (Berkeley, Calif.). |
Publisher | : |
Total Pages | : |
Release | : 1985 |
Genre | : |
ISBN | : |
Author | : Gerald W. Johnson |
Publisher | : Clarendon Press |
Total Pages | : 790 |
Release | : 2000-03-16 |
Genre | : Mathematics |
ISBN | : 0191546267 |
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 | : Gerald W Johnson |
Publisher | : OUP Oxford |
Total Pages | : 439 |
Release | : 2015-08-06 |
Genre | : Science |
ISBN | : 0191006882 |
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 | : Sergio Albeverio |
Publisher | : Springer Science & Business Media |
Total Pages | : 184 |
Release | : 2008-05-30 |
Genre | : Mathematics |
ISBN | : 3540769544 |
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.
Author | : József Lörinczi |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 384 |
Release | : 2020-01-20 |
Genre | : Mathematics |
ISBN | : 3110389932 |
This is the second updated and extended edition of the successful book on Feynman-Kac theory. It offers a state-of-the-art mathematical account of functional integration methods in the context of self-adjoint operators and semigroups using the concepts and tools of modern stochastic analysis. The first volume concentrates on Feynman-Kac-type formulae and Gibbs measures