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Mathematical Feynman path integrals ...
~
Mazzucchi, Sonia.
Mathematical Feynman path integrals and their applications
Record Type:
Electronic resources : Monograph/item
Title/Author:
Mathematical Feynman path integrals and their applications/ Sonia Mazzucchi.
Author:
Mazzucchi, Sonia.
Published:
Singapore ;World Scientific Pub. Co., : c2009.,
Description:
1 online resource (viii, 216 p.)
Subject:
Feynman integrals. -
Online resource:
http://www.worldscientific.com/worldscibooks/10.1142/7104#t=toc
ISBN:
9789812836915 (electronic bk.)
Mathematical Feynman path integrals and their applications
Mazzucchi, Sonia.
Mathematical Feynman path integrals and their applications
[electronic resource] /Sonia Mazzucchi. - Singapore ;World Scientific Pub. Co.,c2009. - 1 online resource (viii, 216 p.)
Includes bibliographical references (p. 197-213) and index.
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.
ISBN: 9789812836915 (electronic bk.)Subjects--Topical Terms:
247317
Feynman integrals.
Index Terms--Genre/Form:
96803
Electronic books.
LC Class. No.: QC174.17.F45 / M39 2009eb
Dewey Class. No.: 515.43
Mathematical Feynman path integrals and their applications
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Includes bibliographical references (p. 197-213) and index.
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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.
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Feynman integrals.
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http://www.worldscientific.com/worldscibooks/10.1142/7104#t=toc
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