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.
Tepper Gill & Woodford Zachary
Functional Analysis and the Feynman Operator Calculus
Functional Analysis and the Feynman Operator Calculus
Língua Inglês ● Formato PDF ● Páginas 354 ● ISBN 9783319275956 ● Tamanho do arquivo 3.9 MB ● Editora Springer International Publishing ● Cidade Cham ● País CH ● Publicado 2016 ● Carregável 24 meses ● Moeda EUR ● ID 4847202 ● Proteção contra cópia DRM social