ENGLISH

Mathematical Theory of Feynman Path Integrals: An Introduction

By Sergio A. Albeverio , Raphael J. Høegh-Krohn , Sonia Mazzucchi (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2008
ISBN
3540769544, 9783540769545
DOI
10.1007/978-3-540-76956-9
LCC
QA3 .L28 no. 523,QA331 .L28 no. 523
Open Library ID
OL23235012M
Language
english
Format
PDF
Filesize
2 MB (2302570 bytes)
Series
Lecture Notes in Mathematics 523
Edition
2
Pages
182\185
Time added
2011-06-04 13:46:07
Measure and Integration;Functional Analysis;Operat

Description

Feynman path 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 since then, 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.

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