Libro Functional Analysis and the Feynman Operator Calculus De Tepper L. Gill; Woodford W. Zachary

portada Functional Analysis and the Feynman Operator Calculus

Formato

Libro Físico

Editorial

Springer

Autor

Tepper L. Gill; Woodford W. Zachary

Año

2016

Idioma

Inglés

N° páginas

376

Encuadernación

Tapa Dura

ISBN13

9783319275932

N° edición

Categorías

Análisis funcional y transformaciones

Functional Analysis and the Feynman Operator Calculus

Tepper L. Gill; Woodford W. Zachary (Autor) · Springer · Tapa Dura

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Reseña del libro "Functional Analysis and the Feynman Operator Calculus"

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.