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Mathematical Feynman path integrals ...
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Mazzucchi, Sonia.
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Mathematical Feynman path integrals and their applications
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Mathematical Feynman path integrals and their applications/ Sonia Mazzucchi.
作者:
Mazzucchi, Sonia.
出版者:
Singapore ;World Scientific Pub. Co., : c2009.,
面頁冊數:
1 online resource (viii, 216 p.)
標題:
Feynman integrals. -
電子資源:
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:
661786
Feynman integrals.
Index Terms--Genre/Form:
542853
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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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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http://www.worldscientific.com/worldscibooks/10.1142/7104#t=toc
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