Functional Analysis and the Feynman Operator Calculus

• Main Authors: Gill, Tepper L. (Author), Zachary, Woodford W. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Subjects: Mathematics.; Functional analysis.; Operator theory.; Physics.; Functional Analysis.; Mathematical Methods in Physics.; Operator Theory.

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...

Table of Contents:

• Preliminary Background
• Integration on Infinite-dimensional Spaces
• HK-Integral and HK-Spaces
• Analysis on Hilbert Space
• Operators on Banach Space
• Spaces of von Neumann Type
• The Feynman Operator Calculus
• Applications of the Feynman Calculus.