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Functional Analysis and the Feynman Operator Calculus

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Functional Analysis and the Feynman Operator Calculus - Gill, Tepper, and Zachary, Woodford
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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 ...

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Functional Analysis and the Feynman Operator Calculus 2018, Springer, Cham

ISBN-13: 9783319801803

Trade paperback

Functional Analysis and the Feynman Operator Calculus 2016, Springer, Cham

ISBN-13: 9783319275932

Hardcover