The Many Faces of Maxwell, Dirac and Einstein Equations: A Clifford Bundle Approach
Gespeichert in:
| Hauptverfasser: | , |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham
Springer
[2016]
|
| Ausgabe: | Second edition |
| Schriftenreihe: | Lecture Notes in Physics
volume 922 |
| Schlagworte: | |
| Online-Zugang: | TUM01 UBM01 UBT01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (XVI, 587 p. 14 illus) |
| ISBN: | 9783319276373 9783319276366 |
| DOI: | 10.1007/978-3-319-27637-3 |
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Datensatz im Suchindex
| _version_ | 1804176206656962560 |
|---|---|
| adam_text | THE MANY FACES OF MAXWELL, DIRAC AND EINSTEIN EQUATIONS
/ RODRIGUES, JR, WALDYR A.
: 2016
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE
INTRODUCTION
MULTIVECTOR AND EXTENSOR CALCULUS
THE HIDDEN GEOMETRICAL NATURE OF SPINORS
SOME DIFFERENTIAL GEOMETRY
CLIFFORD BUNDLE APPROACH TO THE DIFFERENTIAL GEOMETRY OF BRANES
SOME ISSUES IN RELATIVISTIC SPACETIME THEORIES
CLIFFORD AND DIRAC-HESTENES SPINOR FIELDS
A CLIFFORD ALGEBRA 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
ON THE NATURE OF THE GRAVITATIONAL FIELD
ON THE MANY FACES OF EINSTEIN EQUATIONS
MAXWELL, DIRAC AND SEIBERG-WITTEN EQUATIONS
SUPERPARTICLES AND SUPERFIELDS
MAXWELL, EINSTEIN, DIRAC AND NAVIER-STOKES EQUATIONS
MAGNETIC LIKE PARTICLES AND ELKO SPINOR FIELDS.-APPENDICES A1-5
ACRONYMS AND ABBREVIATIONS
LIST OF SYMBOLS
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
THE MANY FACES OF MAXWELL, DIRAC AND EINSTEIN EQUATIONS
/ RODRIGUES, JR, WALDYR A.
: 2016
ABSTRACT / INHALTSTEXT
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. FROM THE REVIEWS OF THE FIRST EDITION: “THE TEXT IS WRITTEN
IN A VERY READABLE MANNER AND IS COMPLEMENTED WITH PLENTY OF WORKED-OUT
EXERCISES WHICH ARE IN THE STYLE OF EXTENDED EXAMPLES. ... THEIR BOOK
COULD ALSO SERVE AS A TEXTBOOK FOR GRADUATE STUDENTS IN PHYSICS OR
MATHEMATICS. (ALBERTO MOLGADO, MATHEMATICAL REVIEWS, 2008 K)
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| edition | Second edition |
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| spelling | Rodrigues, Waldyr Alves 1946- Verfasser (DE-588)142588253 aut The Many Faces of Maxwell, Dirac and Einstein Equations A Clifford Bundle Approach Waldyr A. Rodrigues Jr, Edmundo Capelas de Oliveira Second edition Cham Springer [2016] © 2016 1 Online-Ressource (XVI, 587 p. 14 illus) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Physics volume 922 Physics Mathematical physics Differential geometry Gravitation Classical and Quantum Gravitation, Relativity Theory Mathematical Applications in the Physical Sciences Differential Geometry Mathematische Physik Maxwellsche Gleichungen (DE-588)4221398-8 gnd rswk-swf Dirac-Gleichung (DE-588)4150116-0 gnd rswk-swf Einstein-Feldgleichungen (DE-588)4013941-4 gnd rswk-swf Maxwellsche Gleichungen (DE-588)4221398-8 s DE-604 Dirac-Gleichung (DE-588)4150116-0 s Einstein-Feldgleichungen (DE-588)4013941-4 s Oliveira, Edmundo Capelas de Verfasser aut Lecture Notes in Physics volume 922 (DE-604)BV013615055 922 https://doi.org/10.1007/978-3-319-27637-3 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028961581&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028961581&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Rodrigues, Waldyr Alves 1946- Oliveira, Edmundo Capelas de The Many Faces of Maxwell, Dirac and Einstein Equations A Clifford Bundle Approach Lecture Notes in Physics Physics Mathematical physics Differential geometry Gravitation Classical and Quantum Gravitation, Relativity Theory Mathematical Applications in the Physical Sciences Differential Geometry Mathematische Physik Maxwellsche Gleichungen (DE-588)4221398-8 gnd Dirac-Gleichung (DE-588)4150116-0 gnd Einstein-Feldgleichungen (DE-588)4013941-4 gnd |
| subject_GND | (DE-588)4221398-8 (DE-588)4150116-0 (DE-588)4013941-4 |
| title | The Many Faces of Maxwell, Dirac and Einstein Equations A Clifford Bundle Approach |
| title_auth | The Many Faces of Maxwell, Dirac and Einstein Equations A Clifford Bundle Approach |
| title_exact_search | The Many Faces of Maxwell, Dirac and Einstein Equations A Clifford Bundle Approach |
| title_full | The Many Faces of Maxwell, Dirac and Einstein Equations A Clifford Bundle Approach Waldyr A. Rodrigues Jr, Edmundo Capelas de Oliveira |
| title_fullStr | The Many Faces of Maxwell, Dirac and Einstein Equations A Clifford Bundle Approach Waldyr A. Rodrigues Jr, Edmundo Capelas de Oliveira |
| title_full_unstemmed | The Many Faces of Maxwell, Dirac and Einstein Equations A Clifford Bundle Approach Waldyr A. Rodrigues Jr, Edmundo Capelas de Oliveira |
| title_short | The Many Faces of Maxwell, Dirac and Einstein Equations |
| title_sort | the many faces of maxwell dirac and einstein equations a clifford bundle approach |
| title_sub | A Clifford Bundle Approach |
| topic | Physics Mathematical physics Differential geometry Gravitation Classical and Quantum Gravitation, Relativity Theory Mathematical Applications in the Physical Sciences Differential Geometry Mathematische Physik Maxwellsche Gleichungen (DE-588)4221398-8 gnd Dirac-Gleichung (DE-588)4150116-0 gnd Einstein-Feldgleichungen (DE-588)4013941-4 gnd |
| topic_facet | Physics Mathematical physics Differential geometry Gravitation Classical and Quantum Gravitation, Relativity Theory Mathematical Applications in the Physical Sciences Differential Geometry Mathematische Physik Maxwellsche Gleichungen Dirac-Gleichung Einstein-Feldgleichungen |
| url | https://doi.org/10.1007/978-3-319-27637-3 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028961581&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028961581&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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