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.
2016 | ISBN 978-3-319-27593-2 | ISBN 978-3-319-27595-6 | ID: SC - 1079
SC - 1079 | Functional Analysis and the Feynman Operator Calculus
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