| Titre : |
The many faces of Maxwell, Dirac and Einstein equations : a Clifford bundle approach |
| Type de document : |
texte imprimé |
| Auteurs : |
Waldyr Alves Rodrigues, Auteur ; Edmundo Capelas de Oliveira, Auteur |
| Editeur : |
Berlin ; Heidelberg ; Dordrecht ; New York ; London ; Paris ; Wien : Springer Verlag |
| Année de publication : |
2007, cop. 2007 |
| Collection : |
Lecture notes in physics, ISSN 0075-8450 num. 722 |
| Importance : |
1 vol. (XIV- 445 p.) |
| Présentation : |
ill. |
| Format : |
24 cm |
| ISBN/ISSN/EAN : |
978-3-540-71292-3 |
| Note générale : |
ISBN : 3-540-71292-5.- PPN 11961927X
|
| Langues : |
Anglais (eng) |
| Tags : |
Maxwell, Équations de -- Solutions numériques Dirac, Équation de Einstein, Équations du champ d' Relativité restreinte (physique) Space and time Maxwell equations Dirac equation Einstein field equations Relativity (Physics) Geometry, Differential Mathematical physics |
| Index. décimale : |
515.3 Calcul différentiel et équations différentielles |
| Résumé : |
This book is an exposition of the algebra and calculus of differential forms, of the Clifford and Spin-Clifford bundle formalisms, and of vistas to a formulation of important concepts of differential geometry indispensable for an in-depth understanding of space-time physics. The formalism discloses the hidden geometrical nature of spinor fields. Maxwell, Dirac and Einstein fields are shown to have representatives by objects of the same mathematical nature, namely sections of an appropriate Clifford bundle. This approach reveals unity in diversity and suggests relationships that are hidden in the standard formalisms and opens new paths for research.This thoroughly revised second edition also adds three new chapters: on the Clifford bundle approach to the Riemannian or semi-Riemannian differential geometry of branes; on Komar currents in the context of the General Relativity theory; and an analysis of the similarities and main differences between Dirac, Majorana and ELKO spinor fields.The exercises with solutions, the comprehensive list of mathematical symbols, and the list of acronyms and abbreviations are provided for self-study for students as well as for classes.(source : site web de l'éditeur) |
| Note de contenu : |
Bibliogr. en fin de chapitre. Index p.[441]-445 |
The many faces of Maxwell, Dirac and Einstein equations : a Clifford bundle approach [texte imprimé] / Waldyr Alves Rodrigues, Auteur ; Edmundo Capelas de Oliveira, Auteur . - Berlin ; Heidelberg ; Dordrecht ; New York ; London ; Paris ; Wien : Springer Verlag, 2007, cop. 2007 . - 1 vol. (XIV- 445 p.) : ill. ; 24 cm. - ( Lecture notes in physics, ISSN 0075-8450; 722) . ISBN : 978-3-540-71292-3 ISBN : 3-540-71292-5.- PPN 11961927X
Langues : Anglais ( eng)
| Tags : |
Maxwell, Équations de -- Solutions numériques Dirac, Équation de Einstein, Équations du champ d' Relativité restreinte (physique) Space and time Maxwell equations Dirac equation Einstein field equations Relativity (Physics) Geometry, Differential Mathematical physics |
| Index. décimale : |
515.3 Calcul différentiel et équations différentielles |
| Résumé : |
This book is an exposition of the algebra and calculus of differential forms, of the Clifford and Spin-Clifford bundle formalisms, and of vistas to a formulation of important concepts of differential geometry indispensable for an in-depth understanding of space-time physics. The formalism discloses the hidden geometrical nature of spinor fields. Maxwell, Dirac and Einstein fields are shown to have representatives by objects of the same mathematical nature, namely sections of an appropriate Clifford bundle. This approach reveals unity in diversity and suggests relationships that are hidden in the standard formalisms and opens new paths for research.This thoroughly revised second edition also adds three new chapters: on the Clifford bundle approach to the Riemannian or semi-Riemannian differential geometry of branes; on Komar currents in the context of the General Relativity theory; and an analysis of the similarities and main differences between Dirac, Majorana and ELKO spinor fields.The exercises with solutions, the comprehensive list of mathematical symbols, and the list of acronyms and abbreviations are provided for self-study for students as well as for classes.(source : site web de l'éditeur) |
| Note de contenu : |
Bibliogr. en fin de chapitre. Index p.[441]-445 |
|
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