Articles liés à Feynman's Operational Calculus and Beyond: Noncommutativ...

Feynman's Operational Calculus and Beyond: Noncommutativity and Time-ordering - Couverture rigide

Livre 13 sur 14: Oxford Mathematical Monographs

Johnson, Gerald W; Lapidus, Michel L.; Nielsen, Lance

 
9780198702498: Feynman's Operational Calculus and Beyond: Noncommutativity and Time-ordering
Couverture rigide
ISBN 10 : 0198702493 ISBN 13 : 9780198702498
Editeur : Oxford University Press, 2015

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

Gerald W. Johnson is Emeritus Professor of Mathematics University of Nebraska, Lincoln.


Michel Lapidus is Professor of Mathematics at the University of California, Riverside

Lance Nielsen is Professor of Mathematics in the Department of Mathematics, Creighton University.


Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Oxford University Press
Date d'édition
2015
Langue
anglais
ISBN 10 
0198702493
ISBN 13 
9780198702498
Reliure
Relié
Nombre de pages
384
Coordonnées du fabricant
non disponible
Personne responsable
Ufficio Anagrafiche Messaggerie
ufficio.anagrafiche@meli.it

Via Verdi, 8
Assago Milano
20090
Italie