Functional analysis and the Feynman operator calculus [electronic resource] / Tepper L. Gill, Woodford W. Zachary.

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Functional analysis and the Feynman operator calculus [electronic resource] / Tepper L. Gill, Woodford W. Zachary.

9783319275956 (electronic book)
331927595X (electronic book)
9783319275932

Cham : Springer, 2016.

English

1 online resource (xix, 354 pages) : color illustrations

10.1007/978-3-319-27595-6 doi

QA320

515/.7

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.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed April 8, 2016).

Print version: 9783319275932

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