MATHEMATICAL FEYNMAN PATH INTEGRALS AND THEIR APPLICATIONS

理论物理学

原   价:
406.00
售   价:
304.00
发货周期:预计3-5周发货
作      者
出  版 社
出版时间
2009年05月26日
装      帧
ISBN
9789812836908
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页      码
224
语      种
英文
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图书简介
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. Key Features ? The first complete treatment of one of the most powerful approaches in the mathematical definition of Feynman path integrals: the infinite dimensional oscillatory integrals ? Includes classical results as well as the most modern developments in the field, to which the author has made important contributions ? The coexistence of mathematical rigor and physical intuition makes it interesting for both physicists and mathematicians alike
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