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

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...

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Egile Nagusiak: Rodrigues, W. A., Oliveira, Edmundo Capelas de, 19..-...., auteur en mathématiques (Egilea), Oliveira, Edmundo C. (Egilea)
Formatua: Livre numérique
Hizkuntza:Anglais
Argitaratua: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edizioa:1st ed. 2007.
Saila:Lecture Notes in Physics 722
Gaiak:
Sarrera elektronikoa:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Oharra: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• The many faces of Maxwell, Dirac and Einstein equations, a Clifford bundle approach, Waldyr Alves Rodrigues Jr., Edmundo Capelas de Oliveira, Berlin, Springer, 2007, 1 vol. (XIV- 445 p.), Lecture notes in physics, 3-540-71292-5
• The Many Faces of Maxwell, Dirac and Einstein Equations, Texte imprimé, 9783540836209
• The Many Faces of Maxwell, Dirac and Einstein Equations, Texte imprimé, 9783642090387
• The many faces of Maxwell, Dirac and Einstein equations, a Clifford bundle approach, Waldyr Alves Rodrigues Jr., Edmundo Capelas de Oliveira, Berlin, Springer, 2007, 1 vol. (XIV- 445 p.), Lecture notes in physics, 3-540-71292-5
• The Many Faces of Maxwell, Dirac and Einstein Equations, Texte imprimé, 9783540836209
• The Many Faces of Maxwell, Dirac and Einstein Equations, Texte imprimé, 9783642090387
• The many faces of Maxwell, Dirac and Einstein equations, a Clifford bundle approach, Waldyr Alves Rodrigues Jr., Edmundo Capelas de Oliveira, Berlin, Springer, 2007, 1 vol. (XIV- 445 p.), Lecture notes in physics, 3-540-71292-5
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100 1 |a Rodrigues, W. A. 
245 1 0 |a The Many Faces of Maxwell, Dirac and Einstein Equations :  |b A Clifford Bundle Approach   |c edited by Waldyr A. Jr Rodrigues, Edmundo C. de Oliveira. 
250 |a 1st ed. 2007. 
260 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg. 
260 |a Cham :  |b Springer Nature,  |c [20..]. 
490 0 |a Lecture Notes in Physics  |v 722  |x 1616-6361 
500 |a Archives Springer e-books (Licence nationale) 
500 |a Archives Springer e-books (Licence nationale) 
505 1 |a 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 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a 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 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 energy-momentum and angular momentum in spacetime theories and many misconceptions concerning this issue is analyzed in details. The book will be useful as reference book for researchers and advanced students of theoretical physics and mathematics. Calculation procedures are illustrated by many exercises solved in detail, using the "tricks of the trade". Furthermore the readers will appreciate the comprehensive list of mathematical symbols as well as a list of acronyms and abbreviations 
650 |a Géométrie différentielle 
650 |a Cosmologie 
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650 |a Équations du champ d'Einstein 
650 |a Relativité restreinte (physique) 
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650 |a Physique mathématique 
650 |a Équation de Dirac 
700 1 |a Oliveira, Edmundo Capelas de,  |d 19..-....,  |c auteur en mathématiques.  |4 aut 
700 1 |a Oliveira, Edmundo C.  |4 aut 
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