| Dewey Class |
515.72 (DDC 23) |
| Title |
Feynman's operational calculus and beyond : noncommutativity and time-ordering ([Ebook]) / Gerald W Johnson, Michel L. Lapidus, and Lance Nielsen |
| Author |
Johnson, Gerald W. , 1939- |
| Added Personal Name |
Nielsen, Lance |
| Lapidus, Michel L. (Michel Laurent) , 1956- |
| Feynman, Richard P. (Richard Phillips) 1918-1988 |
| Other name(s) |
Oxford Scholarship Online |
| Publication |
Oxford, UK : Oxford University Press , 2015 |
| Physical Details |
1 online resource ( xiv, 369 pages) |
| Series |
Oxford mathematical monographs |
| ISBN |
9780191772160 |
| Note |
Print publication date: 2015. - Print ISBN-13: 9780198702498. - Published to Oxford Scholarship Online: September 2015 |
| Summary Note |
This book provides an abstract theory of Feynman’s operational calculus for functions of (typically) noncommuting operators. Although it is inspired by Feynman’s original heuristic suggestions and time-ordering (or disentangling) rules in his seminal 1951 paper, as is made 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. In particular, the work presented in this volume is oriented towards dealing with abstract and (typically) noncommuting linear operators acting on some Banach space, rather than operators arising from some variety of path integration. Some of the key structures developed in this volume enable us to obtain, in some sense, an appropriate abstract substitute for a generalized functional integral associated with the Feynman operational calculus attached to a given n-tuple of pairs {(Aj,μj)}j=1n of typically noncommuting bounded operators Aj and probability measures μj, for j = 1, …, n and n ≥ 2.: |
| Mode of acces to digital resource |
Digital reproduction.- Oxford : Oxford University Press, 2015. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in HTML format. |
| System details note |
Online access to this digital book is available only for subscription institutions (only for SISSA users) |
| Internet Site |
http://dx.doi.org/10.1093/acprof:oso/9780198702498.001.0001 |
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