Relativistic world:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Berlin ; Boston
De Gruyter
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Schriftenreihe: | De Gruyter Graduate
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Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Internformat
MARC
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Datensatz im Suchindex
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adam_text | CONTENTS
INTRODUCTION * IX
1 THE LORENTZ TRANSFORMATIONS * 1
1.1 STATIONARY OBSERVERS * 2
1.2 THE PROPERTIES OF SPACE * 6
1.3 INERTIAL FRAMES OF REFERENCE * 8
1.4 THE LORENTZ TRANSFORMATIONS * 12
1.5 UNITS * 16
1.6 VELOCITY ADDITION * 18
1.7 THE INTERVAL * 22
1.8 EINSTEIN*S AXIOMATICS * 24
2 A BIT OF PHILOSOPHY AND HISTORY * 29
2.1 THE AXIOMATIC DEVELOPMENT OF THEORIES * 30
2.2 THE PARAMETRIC INCOMPLETENESS PRINCIPLE * 32
2.3 OUTSIDE OF THE KNOWN* * 35
2.4 A BIT OF HISTORY * 38
2.5 THEORY AND EXPERIMENT* 41
2.6 NEWTONIAN SPACE AND TIME* * 46
3 KINEMATICS * 51
3.1 TIME * 52
3.2 THE TWIN PARADOX * 55
3.3 THE DOPPLER EFFECT * 59
3.4 THE DOPPLER EFFECT AND THE TWIN *PARADOX* * 63
3.5 LORENTZ CONTRACTION * 65
3.6 CONTRACTION AND ROTATION * * 67
3.7 PHOTOGRAPHING OBJECTS * * 71
3.8 ABERRATION * 75
3.9 PARALLAX * * 77
3.10 STARRY SKY * 80
3.11 ACCELERATED MOTION * 84
4 DYNAMICS * 89
4.1 INERTIAL MASS * 90
4.2 CLASSICAL ENERGY AND MOMENTUM * 94
4.3 RELATIVISTIC ENERGY* 96
4.4 RELATIVISTIC MOMENTUM * 100
4.5 SOME EXAMPLES * 102
4.6
4.7
4.8
4.9
4.10
5
5.1
5.2
5.3
5.4
5.5
5.6
5.7
6
6.1
6.2
6.3
6.4
6.5
6.6
6.7
6.8
7
7.1
7.2
7.3
7.4
7.5
7.6
7.7
7.8
8
8.1
8.2
8.3
8.4
8.5
KINETIC ENERGY * 104
DECAYS AND INELASTIC COLLISIONS * 106
ELASTIC COLLISIONS * 108
JET PROPULSION * 112
SPACE FLIGHTS * 113
FORCE AND EQUATIONS OF MOTION * 117
DEFINITION OF FORCE * 118
FORCE IN DIFFERENT REFERENCE FRAMES * 119
MOTION IN ELECTRIC FIELDS * 121
MOTION IN MAGNETIC FIELDS * 123
GENERAL EXPRESSION FOR THE FORCE * 125
MOTION IN A FIELD
V(R)
-- - O / R * 127
VELOCITY-DEPENDENT GRAVITY * * 131
NON-INERTLAL FRAMES * 137
UNIFORMLY ACCELERATING FRAMES * 138
TIMES AND DISTANCES * 141
COORDINATE TRANSFORMATIONS * 145
ACCELERATION FROM A NON-ZERO VELOCITY * * 149
ROTATING FRAMES * 151
ROTATIONS WITH DIFFERENT RADII * 157
NON-RIGID UNIFORMLY ACCELERATING FRAMES * * 159
THE STOPPING PARADOX AND THE TWIN PARADOX * 163
COVARIANT FORMALISM * 167
FOUR-DIMENSIONAL SPACE-TIME * 168
SPACE-TIME ON PAPER * 170
FOUR-VECTORS * 174
THE METRIC TENSOR AND BASES * 175
EXAMPLES OF FOUR-VECTORS * 177
MATRIX TRANSFORMATIONS * 179
PROPERTIES OF THE LORENTZ MATRIX * 181
FOUR-TENSORS * 185
DYNAMICS IN COVARIANT NOTATION * 189
MOMENTUM AND FORCE * 190
CONSERVATION LAWS * 192
THE INVARIANTS S,
T,
AND
U
* 194
DALITZ PLOTS * * 198
MANDELSTAM DIAGRAMS * * 200
8.6
8.7
8.8
9
9.1
9.2
9.3
9.4
9.5
9.6
9.7
9.8
9.9
9.10
10
10.1
10.2
10.3
10.4
10.5
10.6
10.7
11
11.1
11.2
11.3
11.4
11.5
11.6
11.7
11.8
12
12.1
12.2
12.3
12.4
12.5
ANTISYMMETRIC TENSORS * 202
ANGULAR MOMENTUM * 205
SPIN * 209
CURVILINEAR COORDINATES * * 213
ARBITRARY REFERENCE FRAMES * 214
LINEARLY ACCELERATING FRAMES * * 218
CURVILINEAR BASES * 219
PHYSICAL LENGTH AND TIME * 223
INVARIANCE OF PHYSICAL QUANTITIES * * 229
RIGID REFERENCE FRAMES * 231
BORN RIGIDITY * * 236
MOTION OF PARTICLES AND LIGHT * 238
DYNAMICS IN NON-INERTIAL FRAMES * 242
BELL*S PARADOX AND THE EHRENFEST PARADOX * 246
THE MOTION OF RODS AND GYROSCOPES * * 251
RIGID BODIES IN THE THEORY OF RELATIVITY * 252
THE BEHAVIOUR OF ACCELERATED RODS * 254
CIRCULAR MOTION OF RODS * * 257
ACCELERATED GYROSCOPES * 259
WIGNER ROTATION AND THOMAS PRECESSION * 2
THE NONLOCAL NATURE OF CONSERVATION LAWS *
WHAT DOES A ROTATING DISC LOOK LIKE? * 271
QUATERNIONS * 275
QUATERNIONS * 276
THE ALGEBRAIC APPROACH * * 280
ROTATIONS IN THREE-SPACE * 282
ROTATIONS AND QUATERNIONS * 284
LORENTZ TRANSFORMATIONS AND QUATERNIONS * 288
QUATERNIONS AND FOUR-VECTORS * 292
EQUATIONS OF MOTION * 296
COVARIANT NOTATION * * 300
VELOCITY SPACE * 303
FIATLAND * 304
COORDINATES ON THE SPHERE * 308
A THREE-DIMENSIONAL SPHERICAL WORLD * 312
HYPERBOLIC GEOMETRY * 314
PSEUDO-EUCLIDEAN SPACE * 316
B ? S
12.6 PSEUDOSPHERES IN MINKOWSKI SPACE * 320
12.7 COORDINATES IN LOBACHEVSKY SPACE * 322
12.8 VELOCITY SPACE * 326
M. MATHEMATICAL APPENDIX * 331
M.L VECTORS
-----
332
M.2 MATRICES * 335
M.3 THE DETERMINANT* 339
M.4 LEVI-CIVITA SYMBOL * 341
M.5 CURVILINEAR COORDINATES * 343
M.6 THE RECIPROCAL BASIS * 347
M.7 COORDINATE TRANSFORMS * 349
M.8 COMPLEX NUMBERS * 353
M.9 HYPERBOLIC FUNCTIONS * 355
C. COMMENTS * 359
H. HELP * 363
BIBLIOGRAPHY * 387
INDEX * 389
|
any_adam_object | 1 |
author | Stepanov, Sergey 1980- |
author_GND | (DE-588)14272193X |
author_facet | Stepanov, Sergey 1980- |
author_role | aut |
author_sort | Stepanov, Sergey 1980- |
author_variant | s s ss |
building | Verbundindex |
bvnumber | BV044896251 |
classification_rvk | UH 8200 |
ctrlnum | (DE-599)DNB1150715502 |
discipline | Physik |
format | Book |
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id | DE-604.BV044896251 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T08:04:07Z |
institution | BVB |
institution_GND | (DE-588)10095502-2 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030290198 |
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publishDateSearch | 2018 |
publishDateSort | 2018 |
publisher | De Gruyter |
record_format | marc |
series2 | De Gruyter Graduate |
spelling | Stepanov, Sergey 1980- Verfasser (DE-588)14272193X aut Relativistic world Sergey Stepanov Berlin ; Boston De Gruyter txt rdacontent n rdamedia nc rdacarrier De Gruyter Graduate Relativistische Quantenmechanik (DE-588)4177687-2 gnd rswk-swf Relativistische Mechanik (DE-588)4177685-9 gnd rswk-swf Fachhochschul-/Hochschulausbildung Spezielle Relativitätstheorie Kinematik Dynamik Relativistische Mechanik (DE-588)4177685-9 s Relativistische Quantenmechanik (DE-588)4177687-2 s DE-604 Walter de Gruyter GmbH & Co. KG (DE-588)10095502-2 pbl DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030290198&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Stepanov, Sergey 1980- Relativistic world Relativistische Quantenmechanik (DE-588)4177687-2 gnd Relativistische Mechanik (DE-588)4177685-9 gnd |
subject_GND | (DE-588)4177687-2 (DE-588)4177685-9 |
title | Relativistic world |
title_auth | Relativistic world |
title_exact_search | Relativistic world |
title_full | Relativistic world Sergey Stepanov |
title_fullStr | Relativistic world Sergey Stepanov |
title_full_unstemmed | Relativistic world Sergey Stepanov |
title_short | Relativistic world |
title_sort | relativistic world |
topic | Relativistische Quantenmechanik (DE-588)4177687-2 gnd Relativistische Mechanik (DE-588)4177685-9 gnd |
topic_facet | Relativistische Quantenmechanik Relativistische Mechanik |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030290198&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT stepanovsergey relativisticworld AT walterdegruytergmbhcokg relativisticworld |