Four-tensors, the mother tongue of classical physics:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Zürich/Singen
vdf, Hochschulverl. AG an der ETH
2006
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 300 S. graph. Darst. |
| ISBN: | 9783728130693 3728130699 |
Internformat
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Datensatz im Suchindex
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| adam_text | REINHART FROSCH FOUR-TENSORS, THE MOTHER TONGUE OF CLASSICAL PHYSICS
V/DLF VDF HOCHSCHULVERLAG AG AN DER ETH ZURICH CONTENTS PART ONE:
SPECIAL RELATIVITY 15 1 EVENTS 17 2 TIME MEASUREMENTS 18 3 MEASUREMENTS
OF SPATIAL COORDINATES 19 4 LAWS OF NATURE 24 5 THE ELECTROMAGNETIC
FIELD 26 6 THE MICROSCOPIC MAXWELL EQUATIONS 29 7 ELECTROMAGNETIC WAVES
34 8 WAVE GROUPS 39 9 THE ELECTROMAGNETIC WAVE EQUATION 45 10 THE
MICHELSON-MORLEY EXPERIMENT 51 11 THE RELATIVITY PRINCIPLE 58 12 THE
LORENTZ TRANSFORMATION 64 13 THE LORENTZ TRANSFORMATION (CONTINUED) 72
14 TEST OF THE STANDARD LORENTZ TRANSFORMATION 74 15 CONVENTIONAL
FORMULATION OF THE STANDARD LORENTZ TRANSFORMATION 77 16 LORENTZ OR
FITZGERALD CONTRACTION 79 17 TIME DILATATION 81 18 THE TWIN PARADOX 86
19 THE INVARIANT LINE ELEMENT 92 20 MODIFIED DEFINITION OF THE LORENTZ
TRANSFORMATION 95 21 REPRESENTATION OF HOMOGENEOUS LORENTZ
TRANSFORMATIONS BY MATRICES 99 22 LORENTZ BOOST IN AN ARBITRARY
DIRECTION 106 PART TWO: MATHEMATICS OF FOUR-TENSORS 113 23 THE
FOUR-NABLA OPERATOR 115 24 REPRESENTATION OF LORENTZ TRANSFORMATIONS BY
MEANS OF THE FOUR-NABLA-OPERATOR 117 25 THE DISTANCE FOUR-VECTOR 120 11
26 DEFINITION OF THE CONTRAVARIANT FOUR-VECTOR 122 27 SCALAR FUNCTIONS
OF EVENT COORDINATES 124 28 THE FOUR-GRADIENT 126 29 DEFINITION OF THE
COVARIANT FOUR-VECTOR 128 30 THE SCALAR PRODUCT OF A CONTRAVARIANT
FOUR-VECTOR AND A COVARIANT FOUR-VECTOR 130 31 THE DIRECT PRODUCT OF
FOUR-VECTORS 133 32 TRANSFORMATION OF THE FOUR-NABLA OPERATOR 135 33
FOUR-TENSORS OF HIGHER RANK 138 34 THE METRIC TENSOR 143 35 THE FREE
PARAMETERS OF THE LORENTZ TRANSFORMATION 147 36 THE KRONECKER TENSOR 151
37 THE SCALAR PRODUCT OF TWO CONTRAVARIANT FOUR-VECTORS ... 154 38 THE
CONTRAVARIANT ANALOG OF THE METRIC TENSOR 157 39 THE RAISING AND
LOWERING OF TENSOR INDICES 160 40 THE CONTRACTION OF MIXED TENSORS 164
PART THREE: PSEUDOTENSORS 167 41 THE AREA DEFINED BY TWO TWO-VECTORS 169
42 DEFINITION OF PSEUDOSCALARS 174 43 DEFINITION OF PSEUDOTENSORS 182 44
PSEUDOTENSORS IN THREE-DIMENSIONAL SPACE 188 45 PSEUDOTENSORS IN
FOUR-DIMENSIONAL SPACETIME 191 PART FOUR: FOUR-TENSORS AND LAWS OF
NATURE . . 195 46 FOUR-VELOCITY 197 47 RELATION OF FOUR-VELOCITY TO
THREE-VELOCITY 201 48 RELATION OF FOUR-VELOCITY TO THREE-VELOCITY
(CONTINUED) . . 204 49 FOUR-ACCELERATION 206 50 RELATION OF
FOUR-ACCELERATION TO THREE-ACCELERATION 207 51 RELATION OF
FOUR-ACCELERATION TO THREE-ACCELERATION (CONTINUED) 210 52 REST MASSES
212 53 FOUR-MOMENTUM 217 54 RELATION OF FOUR-MOMENTUM TO THREE-MOMENTUM
219 55 ENERGY 222 12 56 RELATION OF FOUR-MOMENTUM TO ENERGY AND THREE-
MOMENTUM 227 57 RULES FOR LAWS OF NATURE 230 58 THE FOUR-MOMENTUM
CONSERVATION LAW 233 59 MASS DEFECTS 239 60 THE ELECTRIC CHARGE 245 61
THE FOUR-VECTOR OF ELECTRIC CURRENT DENSITY 248 62 RELATION OF
FOUR-VECTOR OF ELECTRIC CURRENT DENSITY TO CORRESPONDING THREE-VECTOR
250 63 THE CONTINUITY EQUATION 252 64 THE ELECTROMAGNETIC FOUR-POTENTIAL
254 65 RELATION OF FOUR-POTENTIAL TO THREE-VECTOR AND COULOMB POTENTIALS
257 66 THE ELECTROMAGNETIC FIELD-STRENGTH FOUR-TENSOR 259 67 GAUGE
INVARIANCE OF THE FIELD-STRENGTH FOUR-TENSOR 260 68 THE LORENTZ
CONDITION 263 69 RELATION OF THE FIELD-STRENGTH FOUR-TENSOR TO THE
FIELD- STRENGTH THREE-VECTORS 267 70 THE NEW MAXWELL EQUATIONS 269 71
THE NUMBER OF MAXWELL EQUATIONS 271 72 CONSISTENCY OF NEW AND OLD
MAXWELL EQUATIONS 273 73 THE WAVE EQUATION FOR THE FOUR-POTENTIAL 276 74
THE DUAL FIELD-STRENGTH PSEUDOTENSOR 278 75 ALTERNATIVE FORM OF NEW
MAXWELL EQUATIONS 280 76 THE MAXWELL EQUATIONS AND THE CONTINUITY
EQUATION 282 77 THE ELECTROMAGNETIC FOUR-FORCE ON AN ELECTRICALLY
CHARGED PARTICLE 284 78 RELATION OF THE FOUR-FORCE TO THE THREE-FORCE
285 79 NEWTON S SECOND LAW FOR PARTICLES OF CONSTANT REST MASS 287 80
OLD AND NEW FORMS OF NEWTON S SECOND LAW 288 81 ALTERNATIVE NEW
FORM OF NEWTON S SECOND LAW 290 82 OLD AND NEW FORMS OF NEWTON S
SECOND LAW (CONTINUED) 292 REFERENCES 295 INDEX 297 13
|
| adam_txt |
REINHART FROSCH FOUR-TENSORS, THE MOTHER TONGUE OF CLASSICAL PHYSICS
V/DLF VDF HOCHSCHULVERLAG AG AN DER ETH ZURICH CONTENTS PART ONE:
SPECIAL RELATIVITY 15 1 EVENTS 17 2 TIME MEASUREMENTS 18 3 MEASUREMENTS
OF SPATIAL COORDINATES 19 4 LAWS OF NATURE 24 5 THE ELECTROMAGNETIC
FIELD 26 6 THE MICROSCOPIC MAXWELL EQUATIONS 29 7 ELECTROMAGNETIC WAVES
34 8 WAVE GROUPS 39 9 THE ELECTROMAGNETIC WAVE EQUATION 45 10 THE
MICHELSON-MORLEY EXPERIMENT 51 11 THE RELATIVITY PRINCIPLE 58 12 THE
LORENTZ TRANSFORMATION 64 13 THE LORENTZ TRANSFORMATION (CONTINUED) 72
14 TEST OF THE STANDARD LORENTZ TRANSFORMATION 74 15 CONVENTIONAL
FORMULATION OF THE STANDARD LORENTZ TRANSFORMATION 77 16 LORENTZ OR
FITZGERALD CONTRACTION 79 17 TIME DILATATION 81 18 THE TWIN "PARADOX" 86
19 THE INVARIANT LINE ELEMENT 92 20 MODIFIED DEFINITION OF THE LORENTZ
TRANSFORMATION 95 21 REPRESENTATION OF HOMOGENEOUS LORENTZ
TRANSFORMATIONS BY MATRICES 99 22 LORENTZ BOOST IN AN ARBITRARY
DIRECTION 106 PART TWO: MATHEMATICS OF FOUR-TENSORS 113 23 THE
FOUR-NABLA OPERATOR 115 24 REPRESENTATION OF LORENTZ TRANSFORMATIONS BY
MEANS OF THE FOUR-NABLA-OPERATOR 117 25 THE DISTANCE FOUR-VECTOR 120 11
26 DEFINITION OF THE CONTRAVARIANT FOUR-VECTOR 122 27 SCALAR FUNCTIONS
OF EVENT COORDINATES 124 28 THE FOUR-GRADIENT 126 29 DEFINITION OF THE
COVARIANT FOUR-VECTOR 128 30 THE SCALAR PRODUCT OF A CONTRAVARIANT
FOUR-VECTOR AND A COVARIANT FOUR-VECTOR 130 31 THE DIRECT PRODUCT OF
FOUR-VECTORS 133 32 TRANSFORMATION OF THE FOUR-NABLA OPERATOR 135 33
FOUR-TENSORS OF HIGHER RANK 138 34 THE METRIC TENSOR 143 35 THE FREE
PARAMETERS OF THE LORENTZ TRANSFORMATION 147 36 THE KRONECKER TENSOR 151
37 THE SCALAR PRODUCT OF TWO CONTRAVARIANT FOUR-VECTORS . 154 38 THE
CONTRAVARIANT ANALOG OF THE METRIC TENSOR 157 39 THE RAISING AND
LOWERING OF TENSOR INDICES 160 40 THE CONTRACTION OF MIXED TENSORS 164
PART THREE: PSEUDOTENSORS 167 41 THE AREA DEFINED BY TWO TWO-VECTORS 169
42 DEFINITION OF PSEUDOSCALARS 174 43 DEFINITION OF PSEUDOTENSORS 182 44
PSEUDOTENSORS IN THREE-DIMENSIONAL SPACE 188 45 PSEUDOTENSORS IN
FOUR-DIMENSIONAL SPACETIME 191 PART FOUR: FOUR-TENSORS AND LAWS OF
NATURE . . 195 46 FOUR-VELOCITY 197 47 RELATION OF FOUR-VELOCITY TO
THREE-VELOCITY 201 48 RELATION OF FOUR-VELOCITY TO THREE-VELOCITY
(CONTINUED) . . 204 49 FOUR-ACCELERATION 206 50 RELATION OF
FOUR-ACCELERATION TO THREE-ACCELERATION 207 51 RELATION OF
FOUR-ACCELERATION TO THREE-ACCELERATION (CONTINUED) 210 52 REST MASSES
212 53 FOUR-MOMENTUM 217 54 RELATION OF FOUR-MOMENTUM TO THREE-MOMENTUM
219 55 ENERGY 222 12 56 RELATION OF FOUR-MOMENTUM TO ENERGY AND THREE-
MOMENTUM 227 57 RULES FOR LAWS OF NATURE 230 58 THE FOUR-MOMENTUM
CONSERVATION LAW 233 59 MASS DEFECTS 239 60 THE ELECTRIC CHARGE 245 61
THE FOUR-VECTOR OF ELECTRIC CURRENT DENSITY 248 62 RELATION OF
FOUR-VECTOR OF ELECTRIC CURRENT DENSITY TO CORRESPONDING THREE-VECTOR
250 63 THE CONTINUITY EQUATION 252 64 THE ELECTROMAGNETIC FOUR-POTENTIAL
254 65 RELATION OF FOUR-POTENTIAL TO THREE-VECTOR AND COULOMB POTENTIALS
257 66 THE ELECTROMAGNETIC FIELD-STRENGTH FOUR-TENSOR 259 67 GAUGE
INVARIANCE OF THE FIELD-STRENGTH FOUR-TENSOR 260 68 THE LORENTZ
CONDITION 263 69 RELATION OF THE FIELD-STRENGTH FOUR-TENSOR TO THE
FIELD- STRENGTH THREE-VECTORS 267 70 THE "NEW" MAXWELL EQUATIONS 269 71
THE NUMBER OF MAXWELL EQUATIONS 271 72 CONSISTENCY OF "NEW" AND "OLD"
MAXWELL EQUATIONS 273 73 THE WAVE EQUATION FOR THE FOUR-POTENTIAL 276 74
THE DUAL FIELD-STRENGTH PSEUDOTENSOR 278 75 ALTERNATIVE FORM OF "NEW"
MAXWELL EQUATIONS 280 76 THE MAXWELL EQUATIONS AND THE CONTINUITY
EQUATION 282 77 THE ELECTROMAGNETIC FOUR-FORCE ON AN ELECTRICALLY
CHARGED PARTICLE 284 78 RELATION OF THE FOUR-FORCE TO THE THREE-FORCE
285 79 NEWTON'S SECOND LAW FOR PARTICLES OF CONSTANT REST MASS 287 80
"OLD" AND "NEW" FORMS OF NEWTON'S SECOND LAW 288 81 ALTERNATIVE "NEW"
FORM OF NEWTON'S SECOND LAW 290 82 "OLD" AND "NEW" FORMS OF NEWTON'S
SECOND LAW (CONTINUED) 292 REFERENCES 295 INDEX 297 13 |
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| author | Frosch, Reinhart 1935- |
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| classification_rvk | SK 370 SK 950 |
| classification_tum | PHY 012f |
| ctrlnum | (OCoLC)85842743 (DE-599)HBZHT014990031 |
| discipline | Physik Mathematik |
| discipline_str_mv | Physik Mathematik |
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| id | DE-604.BV023411926 |
| illustrated | Illustrated |
| index_date | 2024-07-02T21:27:54Z |
| indexdate | 2024-07-09T21:18:03Z |
| institution | BVB |
| isbn | 9783728130693 3728130699 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016594526 |
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| physical | 300 S. graph. Darst. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
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| publisher | vdf, Hochschulverl. AG an der ETH |
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| spelling | Frosch, Reinhart 1935- Verfasser (DE-588)105683701 aut Four-tensors, the mother tongue of classical physics Reinhart Frosch Zürich/Singen vdf, Hochschulverl. AG an der ETH 2006 300 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Dimension 4 (DE-588)4338676-3 gnd rswk-swf Tensorrechnung (DE-588)4192487-3 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 s Tensorrechnung (DE-588)4192487-3 s Dimension 4 (DE-588)4338676-3 s DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016594526&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Frosch, Reinhart 1935- Four-tensors, the mother tongue of classical physics Mathematische Physik (DE-588)4037952-8 gnd Dimension 4 (DE-588)4338676-3 gnd Tensorrechnung (DE-588)4192487-3 gnd |
| subject_GND | (DE-588)4037952-8 (DE-588)4338676-3 (DE-588)4192487-3 |
| title | Four-tensors, the mother tongue of classical physics |
| title_auth | Four-tensors, the mother tongue of classical physics |
| title_exact_search | Four-tensors, the mother tongue of classical physics |
| title_exact_search_txtP | Four-tensors, the mother tongue of classical physics |
| title_full | Four-tensors, the mother tongue of classical physics Reinhart Frosch |
| title_fullStr | Four-tensors, the mother tongue of classical physics Reinhart Frosch |
| title_full_unstemmed | Four-tensors, the mother tongue of classical physics Reinhart Frosch |
| title_short | Four-tensors, the mother tongue of classical physics |
| title_sort | four tensors the mother tongue of classical physics |
| topic | Mathematische Physik (DE-588)4037952-8 gnd Dimension 4 (DE-588)4338676-3 gnd Tensorrechnung (DE-588)4192487-3 gnd |
| topic_facet | Mathematische Physik Dimension 4 Tensorrechnung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016594526&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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