The Many Faces of Maxwell, Dirac and Einstein Equations

A Clifford Bundle Approach
1. Auflage. Softcover version of original hardcover Auflage 2007
ISBN: 978-3-642-09038-7
Verlag: Springer

Buch, Englisch, 445 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 692 g

Reihe: Lecture Notes in Physics

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.

Zielgruppe

Research

Autoren/Hrsg.

Rodrigues, Waldyr A.

Oliveira, Edmundo C.

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Physik Quantenphysik Relativität, Gravitation
• Mathematik | Informatik Mathematik Geometrie

Inhaltsverzeichnis

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.