Mathematical Feynman Path Integrals And Their Applications
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A01=Sonia Mazzucchi
Author_Sonia Mazzucchi
Category=PBW
Category=PHU
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Feynman Path Integrals
Infinite Dimensional Analysis
Mathematical Methods of Quantum Mechanics
Oscillatory Integrals
Schroedinger Equation
Stationary Phase Method
Product details
- ISBN 9789812836908
- Publication Date: 26 May 2009
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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Although more than 60 years have passed since their first appearance, Feynman path integrals have yet to lose their fascination and luster. They are not only a formidable instrument of theoretical physics, but also a mathematical challenge; in fact, several mathematicians in the last 40 years have devoted their efforts to the rigorous mathematical definition of Feynman's ideas.This volume provides a detailed, self-contained description of the mathematical difficulties as well as the possible techniques used to solve these difficulties. In particular, it gives a complete overview of the mathematical realization of Feynman path integrals in terms of well-defined functional integrals, that is, the infinite dimensional oscillatory integrals. It contains the traditional results on the topic as well as the more recent developments obtained by the author.Mathematical Feynman Path Integrals and Their Applications is devoted to both mathematicians and physicists, graduate students and researchers who are interested in the problem of mathematical foundations of Feynman path integrals.
