| 书目名称 | Functional Analysis and the Feynman Operator Calculus |
| 编辑 | Tepper L. Gill,Woodford W. Zachary |
| 视频video | |
| 概述 | Provides a mathematically rigorous formulation of both the path integral and the operator calculus in the manner intended by Feynman.Unifies the theory of partial differential equations with time-depe |
| 图书封面 |  |
| 描述 | .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.. |
| 出版日期 | Book 2016 |
| 关键词 | Dyson Conjectures; Feynman Integral; Feynman Operator Calculus; Lebesgue Integral on Banach Spaces; Hens |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-27595-6 |
| isbn_softcover | 978-3-319-80180-3 |
| isbn_ebook | 978-3-319-27595-6 |
| copyright | Springer International Publishing Switzerland 2016 |
发表于 2025-3-21 17:23:21
