Introducing special relativity:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London
Taylor & Francis
2002
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 249 S. Ill., graph. Darst. |
| ISBN: | 0415277612 |
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| adam_text | INTRODUCING SPECIAL RELATIVITY W. S. C. WILLIAMS ODED CONTENTS PREFACE
XI ACKNOWLEDGEMENTS XII 1 INTRODUCTION 1 2 MOMENTUM AND ENERGY IN
SPECIAL RELATIVITY 4 **2.I INTRODUCTION 4 **2.2 MOMENTUM AND ENERGY 4
**2.3 MORE USEFUL FORMULAE 6 **2.4 UNITS 8 **2.5 REST MASS ENERGY 9
**2.6 NUCLEAR BINDING ENERGY 10 **2.7 NUCLEAR DECAYS AND REACTIONS 11
**2.8 GRAVITATION AND E = ME 2 13 **2.9 SUMMARY 14 PROBLEMS 15 3
RELATIVISTIC KINEMATICS I 17 **3.1 INTRODUCTION 17 **3.2 ELEMENTARY
PARTICLE PHYSICS 18 **3.3 TWO-BODY DECAY OF A PARTICLE AT REST 20 *3.4
THREE-BODY DECAYS 24 *3.5 TWO-STAGE THREE-BODY DECAY 26 **3.6 THE DECAY
OF A MOVING PARTICLE 28 3.7 KINEMATICS OF FORMATION 30 3.8 EXAMPLES OF
FORMATION 33 **3.9 PHOTONS 35 **3.10 COMPTON SCATTERING 35 **3.11 THE
CENTRE-OF-MASS 37 VIII CONTENTS **3.12 THE CENTRE-OF-MASS IN TWO-BODY
COLLISIONS 41 *3.13 REACTION THRESHOLDS IN THE LABORATORY 42 *3.14
SUMMARY 43 PROBLEMS 43 4 ELECTRODYNAMICS 46 **4.1 INTRODUCTION 46 **4.2
MAKING CONTACT WITH ELECTROMAGNETISM 46 **4.3 RELATIVISTIC MASS 49 **4.4
HISTORICAL INTERLUDE 50 *4.5 BUCHERER 51 *4.6 ACCELERATORS 54 *4.7 THE
CYCLOTRON FREQUENCY 55 *4.8 THE CYCLOTRON 56 *4.9 THE LIMITATIONS OF THE
CYCLOTRON 57 4.10 THE SYNCHROCYCLOTRON 58 4.11 THE SYNCHROTRON 59 4.12
ELECTRON ACCELERATORS 60 4.13 CENTRE-OF-MASS ENERGY AT COLLIDERS 60
*4.14 SUMMARY 61 PROBLEMS 62 5 THE FOUNDATIONS OF SPECIAL RELATIVITY 64
**5.1 INTRODUCTION 64 **5.2 SOME DEFINITIONS 65 **5.3 GALILEAN
TRANSFORMATIONS 68 **5.4 ELECTROMAGNETISM AND GALILEAN RELATIVITY 70
**5.5 EINSTEIN S RELATIVITY 72 **5.6 THE RISE AND FALL OF SIMULTANEITY
72 **5.7 TIME 74 **5.8 EINSTEIN S ELECTRODYNAMICS 76 **5.9 COMMENTS ON
EINSTEIN S RESULTS 78 **5.10 CHARGE INVARIANCE 80 **5.11 SUMMARY 80
PROBLEMS 81 6 RELATIVISTIC KINEMATICS II 82 **6.1 INTRODUCTION 82 **6.2
THE LORENTZ TRANSFORMATION OF ENERGY AND MOMENTUM 82 *6.3 THE LORENTZ
BOOST FOR OPTICS: ABERRATION 87 CONTENTS IX *6.4 *6.5 6.6 +6.7 *6.8
**6.9 *6.10 THE RELATIVISTIC DOPPLER EFFECT 90 ABERRATION AND THE
DOPPLER EFFECT IN ASTROPHYSICS LORENTZ BOOSTS AND NEW VARIABLES 93
GRAPHICAL REPRESENTATION OF THE LORENTZ BOOST 96 LORENTZ BOOSTS AT WORK
IN PARTICLE DECAYS * 99 COLLISION KINEMATICS 100 SUMMARY 102 PROBLEMS
102 91 7 THE LORENTZ TRANSFORMATION OF TIME-SPACE COORDINATES 109 **7.1
INTRODUCTION 109 **7.2 THE LORENTZ TRANSFORMATION OF TIME-SPACE
COORDINATES 109 **7.3 CONFORMITY WITH THE POSTULATES HI **7.4 A
SIMPLIFICATION IN NOTATION 112 *7.5 A WORLD LINE 113 *7.6 THE INTERVAL
115 **7.7 THE ABSENCE OF SIMULTANEITY IN SPECIAL RELATIVITY 117 **7.8
THE LORENTZ-FITZGERALD CONTRACTION 119 7.9 A DIVERSION 122 **7.10 TIME
DILATION 122 **7.11 THE EXPERIMENTAL TESTS OF TIME DILATION 125 **7.12
THE TRAVELLING TWIN 128 *7.13 PROPER TIME 131 *7.14 TIME DILATION AND
THE LORENTZ-FITZGERALD CONTRACTION 132 7.15 THE TRANSFORMATION OF
VELOCITIES 132 7.16 THE COMPOSITION OF VELOCITIES 134 + 7.17 MINKOWSKI
MAP 136 + 7.18 THE LORENTZ-FITZGERALD CONTRACTION AND TIME DILATION ON
THE MINKOWSKI MAP 139 * *7.19 SUMMARY 140 PROBLEMS 140 8 THE
FORMALITIES OF SPECIAL RELATIVITY 145 **8.1 **8.2 8.3 **8.4 **8.5 *8.6
8.7 INTRODUCTION 145 THE DERIVATION OF THE LORENTZ TRANSFORMATION 145
DERIVATION USING THE K-CALCULUS 147 DERIVATION USING A CONVENTIONAL
METHOD 152 DERIVATION OF THE TRANSFORMATION OF THE TRANSVERSE
COORDINATES 155 SUMMARISING THE LORENTZ TRANSFORMATIONS 157 THE GENERAL
LORENTZ BOOST 158 X CONTENTS + 8.8 TWO SUCCESSIVE LORENTZ BOOSTS I 159 +
8.9 TWO SUCCESSIVE LORENTZ BOOSTS II 160 *8.10 FOUR-VECTORS 164 *8.11 A
CLASSIFICATION OF FOUR-VECTORS 169 + 8.12 RELATIVISTIC ENERGY AND
MOMENTUM CONSERVATION VALIDATED 169 + 8.13 THE THOMAS PRECESSION 175
PROBLEMS 178 9 SOME DEVELOPMENTS IN SPECIAL RELATIVITY 182 *9.1
INTRODUCTION 182 *9.2 RELATIVISTIC KINEMATICS WITH FOUR-VECTORS 182 *9.3
MORE ON WAVES 188 *9.4 EINSTEIN TO DE BROGLIE 190 + 9.5 SCHRODINGER S
WAVE EQUATION 192 + 9.6 THE DIRAC EQUATION 195 9.7 MAXWELL S EQUATIONS
198 9.8 THE LORENTZ TRANSFORMATION OFE AND B 200 + 9.9 THE COVARIANCE OF
MAXWELL S EQUATIONS 204 + 9.10 THE ELECTROMAGNETIC FOUR-VECTOR POTENTIAL
206 +9.11 TENSORLAND 208 + 9.12 ELECTROMAGNETISM WITH TENSORS 215 *9.13
WHAT TO REMEMBER 219 *9.14 WHAT WE HAVE NOT DISCUSSED 219 PROBLEMS 220
10 A POSTPONED PRELUDE 226 **10.1 INTRODUCTION 226 **10.2 MAXWELL AND
THE ETHER 226 **10.3 THE HUNT FOR THE ETHER: MICHELSON AND MORLEY 227
**10.4 THE HUNT FOR THE ETHER: TROUTON AND NOBLE, RAYLEIGH, AND BRACE
230 **10.5 SAVING THE ETHER WITH LORENTZ! 230 **10.6 DRAGGING THE ETHER
232 **10.7 1905 AND AFTER 234 PROBLEM ANSWERS 237 BIBLIOGRAPHY 239 INDEX
243
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| dewey-ones | 530 - Physics |
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| dewey-tens | 530 - Physics |
| discipline | Physik |
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| spelling | Williams, William S. C. Verfasser (DE-588)12396153X aut Introducing special relativity W. S. C. Williams London Taylor & Francis 2002 XIII, 249 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Spezielle Relativitätstheorie (DE-588)4182215-8 gnd rswk-swf Spezielle Relativitätstheorie (DE-588)4182215-8 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017431102&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Williams, William S. C. Introducing special relativity Spezielle Relativitätstheorie (DE-588)4182215-8 gnd |
| subject_GND | (DE-588)4182215-8 |
| title | Introducing special relativity |
| title_auth | Introducing special relativity |
| title_exact_search | Introducing special relativity |
| title_full | Introducing special relativity W. S. C. Williams |
| title_fullStr | Introducing special relativity W. S. C. Williams |
| title_full_unstemmed | Introducing special relativity W. S. C. Williams |
| title_short | Introducing special relativity |
| title_sort | introducing special relativity |
| topic | Spezielle Relativitätstheorie (DE-588)4182215-8 gnd |
| topic_facet | Spezielle Relativitätstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017431102&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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