Functional Integration

Action and Symmetries

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Hardcover | 30 November 2006

At a Glance

Hardcover
478 Pages

Dimensions(cm)
17.7 x 25.1 x 3.5

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Functional integration successfully entered physics as path integrals in the 1942 PhD dissertation of Richard P. Feynman, but it made no sense at all as a mathematical definition. Cartier and DeWitt-Morette have created, in this book, a fresh approach to functional integration. The book is self-contained: mathematical ideas are introduced, developed, generalised and applied. In the authors' hands, functional integration is shown to be a robust, user-friendly and multi-purpose tool that can be applied to a great variety of situations, for example: systems of indistinguishable particles; Aharonovâ"Bohm systems; supersymmetry; non-gaussian integrals. Problems in quantum field theory are also considered. In the final part the authors outline topics that can be profitably pursued using material already presented.

Industry Reviews

'...will be helpful for those mathematicians who are interested in physical applications of the general theory of measure (theory of integrals) and for the physicists who are interested in mathematically rigorous formulations of complicated problems in quantum physics.' Zentralblatt MATH

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You Can Find This Book In

Non-Fiction Science Physics Statistical Physics Science in General Maths for Scientists Mathematics Calculus & Mathematical Analysis Functional Analysis & Transforms

The Physical and Mathematical Environment
The physical and mathematical environment
Quantum Mechanics
First lesson: Gaussian integrals
Selected examples
Semiclassical expansion WKB
Semiclassical expansion beyond WKB
Quantum dynamics: path integrals and operator formalism
Methods from Differential Geometry
Symmetries
Homotopy
Grassmann analysis: basics
Grassmann analysis: applications
Volume elements, divergences, gradients
Non-Gaussian Applications
Poisson processes in physics
A mathematical theory of Poisson processes
First exit time energy problems
Problems in Quantum Field Theory
Renormalization
an introduction
Renormalization
scaling
Renormalization
combinatorics Marcus Bery
Volume elements in quantum field theory Bryce DeWitt
Projects
Projects
Forward and backward integrals: spaces of pointed paths
Product integrals
A compendium of Gaussian integrals
Wick calculus Alexander Wurm;
Jacobi operator
Change of variables of integration
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

Functional Integration

Action and Symmetries

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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