Functional Analysis and the Feynman Operator Calculus

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128,39 

ISBN: 3319801805
ISBN 13: 9783319801803
Autor: Gill, Tepper/Zachary, Woodford
Verlag: Springer Verlag GmbH
Umfang: xix, 354 S., 3 farbige Illustr., 354 p. 3 illus. in color.
Erscheinungsdatum: 25.04.2018
Auflage: 1/2016
Produktform: Kartoniert
Einband: Kartoniert

This book provides the mathematical foundations for Feynman’s operator calculus and for the Feynman path integral formulation of quantum mechanics as a natural extension of analysis and functional analysis to the infinite-dimensional setting. In one application, the results are used to prove the last two remaining conjectures of Freeman Dyson for quantum electrodynamics. In another application, the results are used to unify methods and weaken domain requirements for non-autonomous evolution equations. Other applications include a general theory of Lebesgue measure on Banach spaces with a Schauder basis and a new approach to the structure theory of operators on uniformly convex Banach spaces. This book is intended for advanced graduate students and researchers.

Artikelnummer: 5459013 Kategorie:

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E-Mail: juergen.hartmann@springer.com

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