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

• Main Authors: Rodrigues, Waldyr Alves (Author), Oliveira, Edmundo Capelas de (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Series: Lecture Notes in Physics, 722
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Differential geometry.; Physics.; Gravitation.; Analysis.; Mathematical Methods in Physics.; Classical and Quantum Gravitation, Relativity Theory.; Differential Geometry.

This book is a thoughtful exposition of the algebra and calculus of differential forms, the Clifford and Spin-Clifford bundles formalisms with emphasis in calculation procedures, and vistas to a formulation of some important concepts of differential geometry necessary for a deep understanding of spa...

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.