Functional Analysis and the Feynman Operator Calculus

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Science, Physics, Mathematical Physics
Cover of the book Functional Analysis and the Feynman Operator Calculus by Tepper Gill, Woodford Zachary, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Tepper Gill, Woodford Zachary ISBN: 9783319275956
Publisher: Springer International Publishing Publication: March 30, 2016
Imprint: Springer Language: English
Author: Tepper Gill, Woodford Zachary
ISBN: 9783319275956
Publisher: Springer International Publishing
Publication: March 30, 2016
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Usability- and Accessibility-Focused Requirements Engineering by Tepper Gill, Woodford Zachary
Cover of the book Mechanical Circulatory Support in End-Stage Heart Failure by Tepper Gill, Woodford Zachary
Cover of the book Equivalent Stress Concept for Limit State Analysis by Tepper Gill, Woodford Zachary
Cover of the book Visual Guidance of Unmanned Aerial Manipulators by Tepper Gill, Woodford Zachary
Cover of the book Clinical Investigation by Tepper Gill, Woodford Zachary
Cover of the book Credit Cooperative Institutions in European Countries by Tepper Gill, Woodford Zachary
Cover of the book The Plurality Trilemma by Tepper Gill, Woodford Zachary
Cover of the book Plant Omics: Trends and Applications by Tepper Gill, Woodford Zachary
Cover of the book Research Perspectives in Couple Therapy by Tepper Gill, Woodford Zachary
Cover of the book Algorithms and Dynamical Models for Communities and Reputation in Social Networks by Tepper Gill, Woodford Zachary
Cover of the book Pediatrician's Guide to Discussing Research with Patients by Tepper Gill, Woodford Zachary
Cover of the book Practical Aspects of Declarative Languages by Tepper Gill, Woodford Zachary
Cover of the book Information Technologies and Mathematical Modelling: Queueing Theory and Applications by Tepper Gill, Woodford Zachary
Cover of the book Radio Telescope Reflectors by Tepper Gill, Woodford Zachary
Cover of the book The Palgrave Handbook of Education Law for Schools by Tepper Gill, Woodford Zachary
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy