Functional analysis and the Feynman operator calculus / Tepper L. Gill, Woodford W. Zachary.
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 th...
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| Main Authors: | , |
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| Format: | Ebook |
| Language: | English |
| Published: |
Cham :
Springer,
2016.
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| Subjects: | |
| Online Access: | Springer eBooks |
| Summary: | 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. |
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| Physical Description: | 1 online resource (xix, 354 pages) : illustrations |
| Format: | Mode of access: World Wide Web. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 331927595X 9783319275956 |