Mathematical Theory of Feynman Path Integrals

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Release : 2006-11-14
Genre : Mathematics
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Book Rating : 50X/5 ( reviews)

Mathematical Theory of Feynman Path Integrals - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Theory of Feynman Path Integrals write by Sergio A. Albeverio. This book was released on 2006-11-14. Mathematical Theory of Feynman Path Integrals available in PDF, EPUB and Kindle. Feynman path integrals integrals, suggested heuristically by Feynman in the 40s, have become the basis of much of contemporary physics, from non relativistic quantum mechanics to quantum fields, including gauge fields, gravitation, cosmology. Recently ideas based on Feynman path integrals have also played an important role in areas of mathematics like low dimensional topology and differential geometry, algebraic geometry, infinite dimensional analysis and geometry, and number theory. The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. To take care of the many developments which have occurred since then, an entire new chapter about the current forefront of research has been added. Except for this new chapter, the basic material and presentation of the first edition was mantained, a few misprints have been corrected. At the end of each chapter the reader will also find notes with further bibliographical information.

Mathematical Theory of Feynman Path Integrals

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Release : 2008-05-06
Genre : Mathematics
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Book Rating : 560/5 ( reviews)

Mathematical Theory of Feynman Path Integrals - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Theory of Feynman Path Integrals write by Sergio Albeverio. This book was released on 2008-05-06. Mathematical Theory of Feynman Path Integrals available in PDF, EPUB and Kindle. The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. An entire new chapter on the current forefront of research has been added. Except for this new chapter and the correction of a few misprints, the basic material and presentation of the first edition has been maintained. At the end of each chapter the reader will also find notes with further bibliographical information.

Mathematical Feynman Path Integrals And Their Applications

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Release : 2009-05-22
Genre : Science
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Book Rating : 270/5 ( reviews)

Mathematical Feynman Path Integrals And Their Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Feynman Path Integrals And Their Applications write by Sonia Mazzucchi. This book was released on 2009-05-22. Mathematical Feynman Path Integrals And Their Applications available in PDF, EPUB and Kindle. 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.

Mathematical Feynman Path Integrals And Their Applications (Second Edition)

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Release : 2021-11-16
Genre : Science
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Book Rating : 808/5 ( reviews)

Mathematical Feynman Path Integrals And Their Applications (Second Edition) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Feynman Path Integrals And Their Applications (Second Edition) write by Sonia Mazzucchi. This book was released on 2021-11-16. Mathematical Feynman Path Integrals And Their Applications (Second Edition) available in PDF, EPUB and Kindle. Feynman path integrals are ubiquitous in quantum physics, even if a large part of the scientific community still considers them as a heuristic tool that lacks a sound mathematical definition. Our book aims to refute this prejudice, providing an extensive and self-contained description of the mathematical theory of Feynman path integration, from the earlier attempts to the latest developments, as well as its applications to quantum mechanics.This second edition presents a detailed discussion of the general theory of complex integration on infinite dimensional spaces, providing on one hand a unified view of the various existing approaches to the mathematical construction of Feynman path integrals and on the other hand a connection with the classical theory of stochastic processes. Moreover, new chapters containing recent applications to several dynamical systems have been added.This book bridges between the realms of stochastic analysis and the theory of Feynman path integration. It is accessible to both mathematicians and physicists.

Mathematical Theory of Feynman Path Integrals

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Release : 2014-09-01
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Book Rating : 631/5 ( reviews)

Mathematical Theory of Feynman Path Integrals - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Theory of Feynman Path Integrals write by Sergio A. Albeverio. This book was released on 2014-09-01. Mathematical Theory of Feynman Path Integrals available in PDF, EPUB and Kindle.