The many faces of Maxwell, Dirac and Einstein equations : a Clifford bundle approach
 Responsibility
 Waldyr Alves Rodrigues Jr., Edmundo Capelas de Oliveira.
 Language
 English.
 Imprint
 Berlin ; New York : Springer, c2007
 Physical description
 xiv, 445 p. : ill. ; 24 cm.
 Series
 Lecture notes in physics 722.
Access
Available online
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Call number  Status 

QC173.59 .S65 R63 2007  Available 
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Creators/Contributors
 Author/Creator
 Rodrigues, W. A.
 Contributor
 Oliveira, Edmundo Capelas de.
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 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 DiracHestenes Spinor Fields. Lagrangian Formalism in Minkowski Spacetime. Conservation Laws on RiemannCartan 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 SeibergWitten Equations. Superparticles and Superfields. Principal Bundles, Vector Bundles and Connections.
 (source: Nielsen Book Data)9783540712923 20160528
 Publisher's Summary
 This book is a thoughtful exposition of the algebra and calculus of differential forms, the Clifford and SpinClifford 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 spacetime physics. The formalism discloses the hidden geometrical nature of spinor fields. Maxwell, Dirac and Einstein fields, which were originally considered objects of a very different mathematical nature, are shown to have representatives as objects of the same mathematical nature, i.e. as sections of an appropriate Clifford bundle. This approach reveals unity in the diversity and also the many faces of the equations satisfied by those fields. Moreover, it suggests relationships which are hidden in the standard formalisms and new paths for research. Some foundational issues of relativistic field theories, in particular the one concerning the conditions for the existence of the conservation laws of energymomentum and angular momentum in spacetime theories and many misconceptions concerning this issue is analyzed in details.
(source: Nielsen Book Data)9783540712923 20160528
Subjects
Bibliographic information
 Publication date
 2007
 Series
 Lecture notes in physics, 00758450 ; 722
 Note
 Also available on the World Wide Web.
 ISBN
 3540712925
 9783540712923
 3642090389
 9783642090387