Functional Analysis and the Feynman Operator Calculus

Gill, Tepper, Zachary, Woodford

ISBN 10: 3319801805 / ISBN 13: 9783319801803

Verlag: Springer, 2018

2018. Paperback. . . . . . Bestandsnummer des Verkäufers V9783319801803

Inhaltsangabe:

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.

Von der hinteren Coverseite: 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.

Bibliografische Details

Titel: Functional Analysis and the Feynman Operator...
Verlag: Springer
Erscheinungsdatum: 2018
Einband: Softcover
Zustand: New