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 Innovative Design, Manufacturing and Testing of Small Satellites by Tepper Gill, Woodford Zachary
Cover of the book Global Comparative Analysis of CBL-CIPK Gene Families in Plants by Tepper Gill, Woodford Zachary
Cover of the book Transforming IQ into “Orthopédie Mentale“ by Tepper Gill, Woodford Zachary
Cover of the book Physics of Liquid Matter: Modern Problems by Tepper Gill, Woodford Zachary
Cover of the book Fundamentals of Boundary-Layer Meteorology by Tepper Gill, Woodford Zachary
Cover of the book Food Bioactives by Tepper Gill, Woodford Zachary
Cover of the book Planning and Analyzing Clinical Trials with Composite Endpoints by Tepper Gill, Woodford Zachary
Cover of the book Perturbative Algebraic Quantum Field Theory by Tepper Gill, Woodford Zachary
Cover of the book The Visual Language of Technique by Tepper Gill, Woodford Zachary
Cover of the book Musculoskeletal Ultrasound in Rheumatology Review by Tepper Gill, Woodford Zachary
Cover of the book Virtual and Remote Control Tower by Tepper Gill, Woodford Zachary
Cover of the book The Management of Global Careers by Tepper Gill, Woodford Zachary
Cover of the book Nonlinear Dynamics, Volume 2 by Tepper Gill, Woodford Zachary
Cover of the book Biotechnologies of Crop Improvement, Volume 1 by Tepper Gill, Woodford Zachary
Cover of the book PRedictive Intelligence in MEdicine 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