Mathematical Theory of Feynman Path Integrals: An Introduction

ISBN-10
8354076954
ISBN-13
9788354076957
Series
Mathematical Theory of Feynman Path Integrals
Category
Functional analysis
Language
English
Published
2008
Authors
Sonia Mazzucchi, Sergio A. Albeverio, Raphael J. Høegh-Krohn

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.

Other editions

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