000			01584nam a2200193 4500
001			15967140
010			_a 2009279492
020			_a9789812836908
020			_a981283690X
082	0	0	_a530.12 _bSON/M
100	1		_aSonia Mazzucchi
245	1	0	_aMathematical Feynman path integrals and their applications
260			_aHackensack, NJ : _bWorld Scientific, _cc2009.
300			_aviii, 216 p.
520			_aAlthough 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.
650		0	_aFeynman integrals
650		0	_aFeynman diagrams
942			_cBK
999			_c66532 _d66532