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Mathematical theory of Feynman path integrals

Author: Sergio Albeverio; Raphael Höegh-Krohn
Publisher: Berlin ; New York : Springer-Verlag, 1976.
Series: Lecture notes in mathematics (Springer-Verlag), 523.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Albeverio, Sergio.
Mathematical theory of Feynman path integrals.
Berlin ; New York : Springer-Verlag, 1976
(DLC) 76018919
(OCoLC)2318183
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Sergio Albeverio; Raphael Höegh-Krohn
ISBN: 9783540382508 354038250X
OCLC Number: 297090077
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Description: 1 online resource (iv, 139 pages).
Details: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Series Title: Lecture notes in mathematics (Springer-Verlag), 523.
Responsibility: Sergio A. Albeverio, Raphael J. Høegh-Krohn.

Abstract:

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.

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