The geometry of Minkowski spacetime: an introduction to the mathematics of the special theory of relativity
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
2012
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Applied mathematical sciences
92 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVI, 324 S. Ill., graph. Darst. |
| ISBN: | 9781441978370 |
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Datensatz im Suchindex
| _version_ | 1804148930983755776 |
|---|---|
| adam_text | Titel: The geometry of Minkowski spacetime
Autor: Naber, Gregory L.
Jahr: 2012
Contents
Preface....................................................... vii
Acknowledgments ............................................ xiii
Introduction.................................................. 1
1 Geometrical Structure of /A.............................. 7
1.1 Preliminaries........................................... 7
1.2 Minkowski Spacetime................................... 9
1.3 The Lorentz Group..................................... 15
1.4 Timelike Vectors and Curves............................. 42
1.5 Spacelike Vectors....................................... 55
1.6 Causality Relations..................................... 58
1.7 Spin Transformations and the Lorentz Group.............. 68
1.8 Particles and Interactions................................ 81
2 Skew-Symmetric Linear Transformations
and Electromagnetic Fields............................... 93
2.1 Motivation via the Lorentz Law.......................... 93
2.2 Elementary Properties.................................. 95
2.3 Invariant Subspaces..................................... 99
2.4 Canonical Forms.......................................105
2.5 The Energy-Momentum Transformation...................109
2.6 Motion in Constant Fields...............................113
2.7 Variable Electromagnetic Fields..........................117
3 The Theory of Spinors....................................135
3.1 Representations of the Lorentz Group.....................135
3.2 Spin Space ............................................153
3.3 Spinor Algebra.........................................160
3.4 Spinors and World Vectors...............................169
3.5 Bivectors and Null Flags................................179
3.6 The Electromagnetic Field (Revisited) ....................186
4 Prologue and Epilogue: The de Sitter Universe...........199
4.1 Introduction...........................................199
4.2 Gravitation............................................199
4.3 Mathematical Machinery................................202
4.4 The de Sitter Universe dS...............................249
4.5 Infinity in Minkowski and de Sitter Space-times.............255
Appendix A Topologies For Ai.............................279
A.l The Euclidean Topology.................................279
A.2 E-Continuous Timelike Curves...........................280
A.3 The Path Topology.....................................284
Appendix B Spinorial Objects..............................293
B.l Introduction...........................................293
B.2 The Spinning Electron and Dirac s Demonstration..........294
B.3 Homotopy in the Rotation and Lorentz Groups.............296
References....................................................307
Symbols......................................................311
Index.........................................................317
|
| any_adam_object | 1 |
| author | Naber, Gregory L. 1948- |
| author_GND | (DE-588)113221207 |
| author_facet | Naber, Gregory L. 1948- |
| author_role | aut |
| author_sort | Naber, Gregory L. 1948- |
| author_variant | g l n gl gln |
| building | Verbundindex |
| bvnumber | BV039957442 |
| classification_rvk | SK 950 |
| classification_tum | MAT 537f PHY 014f PHY 041f |
| ctrlnum | (OCoLC)785850579 (DE-599)BVBBV039957442 |
| discipline | Physik Mathematik |
| edition | 2. ed. |
| format | Book |
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| institution | BVB |
| isbn | 9781441978370 |
| language | English |
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| physical | XVI, 324 S. Ill., graph. Darst. |
| publishDate | 2012 |
| publishDateSearch | 2012 |
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| publisher | Springer |
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| series | Applied mathematical sciences |
| series2 | Applied mathematical sciences |
| spelling | Naber, Gregory L. 1948- Verfasser (DE-588)113221207 aut The geometry of Minkowski spacetime an introduction to the mathematics of the special theory of relativity Gregory L. Naber 2. ed. New York [u.a.] Springer 2012 XVI, 324 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Applied mathematical sciences 92 Spezielle Relativitätstheorie (DE-588)4182215-8 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Raum-Zeit (DE-588)4302626-6 gnd rswk-swf Raum Mathematik (DE-588)4124030-3 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Minkowski-Raum (DE-588)4293944-6 gnd rswk-swf Raum-Zeit (DE-588)4302626-6 s Minkowski-Raum (DE-588)4293944-6 s Spezielle Relativitätstheorie (DE-588)4182215-8 s DE-604 Mathematik (DE-588)4037944-9 s 1\p DE-604 Mathematische Physik (DE-588)4037952-8 s 2\p DE-604 Raum Mathematik (DE-588)4124030-3 s 3\p DE-604 Erscheint auch als Online-Ausgabe 978-1-4419-7838-7 Applied mathematical sciences 92 (DE-604)BV000005274 92 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024815242&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Naber, Gregory L. 1948- The geometry of Minkowski spacetime an introduction to the mathematics of the special theory of relativity Applied mathematical sciences Spezielle Relativitätstheorie (DE-588)4182215-8 gnd Mathematik (DE-588)4037944-9 gnd Raum-Zeit (DE-588)4302626-6 gnd Raum Mathematik (DE-588)4124030-3 gnd Mathematische Physik (DE-588)4037952-8 gnd Minkowski-Raum (DE-588)4293944-6 gnd |
| subject_GND | (DE-588)4182215-8 (DE-588)4037944-9 (DE-588)4302626-6 (DE-588)4124030-3 (DE-588)4037952-8 (DE-588)4293944-6 |
| title | The geometry of Minkowski spacetime an introduction to the mathematics of the special theory of relativity |
| title_auth | The geometry of Minkowski spacetime an introduction to the mathematics of the special theory of relativity |
| title_exact_search | The geometry of Minkowski spacetime an introduction to the mathematics of the special theory of relativity |
| title_full | The geometry of Minkowski spacetime an introduction to the mathematics of the special theory of relativity Gregory L. Naber |
| title_fullStr | The geometry of Minkowski spacetime an introduction to the mathematics of the special theory of relativity Gregory L. Naber |
| title_full_unstemmed | The geometry of Minkowski spacetime an introduction to the mathematics of the special theory of relativity Gregory L. Naber |
| title_short | The geometry of Minkowski spacetime |
| title_sort | the geometry of minkowski spacetime an introduction to the mathematics of the special theory of relativity |
| title_sub | an introduction to the mathematics of the special theory of relativity |
| topic | Spezielle Relativitätstheorie (DE-588)4182215-8 gnd Mathematik (DE-588)4037944-9 gnd Raum-Zeit (DE-588)4302626-6 gnd Raum Mathematik (DE-588)4124030-3 gnd Mathematische Physik (DE-588)4037952-8 gnd Minkowski-Raum (DE-588)4293944-6 gnd |
| topic_facet | Spezielle Relativitätstheorie Mathematik Raum-Zeit Raum Mathematik Mathematische Physik Minkowski-Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024815242&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000005274 |
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