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

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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.

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Editorial Reviews

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"The main intention of the present book is to familiarise the reader with the algebra and calculus within the Clifford bundle formalism … . The text is written in a very readable manner and is complemented with plenty of worked-out exercises which are in the style of extended examples. ... From my personal point of view, the authors elegantly succeed in their ambitions and, in my opinion, their book could also serve as a textbook for graduate students in physics or mathematics." (Alberto Molgado, Mathematical Reviews, Issue 2008 k)

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Product Details

  • ISBN-13: 9783642090387
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 11/24/2010
  • Series: Lecture Notes in Physics Series , #722
  • Edition description: Softcover reprint of hardcover 1st ed. 2007
  • Edition number: 1
  • Pages: 446
  • Product dimensions: 6.14 (w) x 9.21 (h) x 0.93 (d)

Table of Contents

Multiform and Extensor Calculus.- 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 RCST 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.

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