The Many Faces of Maxwell, Dirac and Einstein Equations: A Clifford Bundle Approach / Edition 1

The Many Faces of Maxwell, Dirac and Einstein Equations: A Clifford Bundle Approach / Edition 1

by Jr, Waldyr A Rodrigues Waldyr A., Edmundo Capelas de Oliveira
     
 

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ISBN-10: 3540712925

ISBN-13: 9783540712923

Pub. Date: 09/28/2007

Publisher: Springer Berlin Heidelberg

This book is a comprehensive reference on differential geometry. It shows that Maxwell, Dirac and Einstein fields, which were originally considered objects of a very different mathematical nature, have representatives as objects of the same mathematical nature. The book also analyzes some foundational issues of relativistic field theories. All calculation

Overview

This book is a comprehensive reference on differential geometry. It shows that Maxwell, Dirac and Einstein fields, which were originally considered objects of a very different mathematical nature, have representatives as objects of the same mathematical nature. The book also analyzes some foundational issues of relativistic field theories. All calculation procedures are illustrated by many exercises that are solved in detail.

Product Details

ISBN-13:
9783540712923
Publisher:
Springer Berlin Heidelberg
Publication date:
09/28/2007
Series:
Lecture Notes in Physics Series, #722
Edition description:
2007
Pages:
445
Product dimensions:
6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

Introduction.- Multiform and Extensor Calcula.- The Hidden Geometrical Nature of Spinors.- Some Differential Geometry.- The Hidden Geometrical Nature of Spinors.- Some Differential Geometry.- Some Issues in Relativistic Spacetime Theories.- Clifford and Dirac-Hestenes Spinor Fields.- Lagrangian Formalism in Minkowski Spacetime.- Conservation Laws on Riemann-Cartan and Lorentzian Spacetimes.- The DHE on a RCS and the Meaning of Active Local Lorentz Invariance.- Gravitational Theory in Minkowski Spacetime.- On the Many Faces of Einstein's Equations.- Maxwell, Dirac and Seiberg-Witten Equations.- Superparticles and Superfields.- Principal Bundles, Vector Bundles and Connections.

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