The genesis of Feynman diagrams:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht [u.a.]
Springer
2010
|
| Series: | Archimedes
26 |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XVII, 208 S. Ill., graph. Darst. |
| ISBN: | 9789048192274 |
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MARC
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| 245 | 1 | 0 | |a The genesis of Feynman diagrams |c Adrian Wüthrich |
| 264 | 1 | |a Dordrecht [u.a.] |b Springer |c 2010 | |
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Record in the Search Index
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IMAGE 1
CONTENTS
SLUB
1 INTRODUCTION: ORIGIN, USE AND INTERPRETATION OF FEYNMAN DIAGRAMS . 1
1.1 A TOOL FOR ORGANIZING CALCULATIONS 1
1.2 TEMPTING BUT INCORRECT INTERPRETATIONS : 2
1.3 THE ORIGIN OF FEYNMAN DIAGRAMS 5
1.4 THE REASONS FOR THE DIAGRAMS' SUCCESS 7
1.4.1 INTUITION AND VISUALIZABILITY 7
1.4.2 SIMILARITY 9
1.5 THE INGREDIENTS OF MODERN QED 10
1.5.1 CALCULATION METHODS 11
1.5.2 CORRECT AND JUSTIFIED PREDICTIONS 12
1.6 REPRESENTING AND CALCULATING 13
1.6.1 DEVELOPING APPROPRIATE MEANS OF REPRESENTATION 14 1.6.2 FEATURES
OF APPROPRIATENESS 16
1.7 INCONSPICUOUS CONCEPTUAL INNOVATIONS 17
1.8 A COMPARISON WITH TRADITIONAL MEANS OF REPRESENTATIONS 19
2 QUANTUM ELECTRODYNAMICS WITHOUT FEYNMAN DIAGRAMS 23 2.1 SCATTERING:
THE TRANSITION BETWEEN ENERGY LEVELS 23
2.2 CLASSIFYING POSSIBLE TRANSITIONS 33
2.3 AN ATTEMPT TO IMPROVE THE REPRESENTATION 36
2.4 CANCELLATION OF THE INFINITIES 43
2.4.1 MASS-TYPE DIVERGENCES 43
2.4.2 POLARIZATION-TYPE DIVERGENCES 45
2.4.3 BOOKKEEPING VERSUS ISOLATING THE INFINITIES 49
3 QUANTUM MECHANICS WITHOUT A HAMILTONIAN OPERATOR 51 3.1 THE MAIN
DIFFICULTIES OF QED 51
3.2 HOW THE CLASSICAL ACTION CONSTRUCTS THE QUANTUM THEORY 52 3.2.1
USING THE LAGRANGIAN TO REPRESENT THE WAVE FUNCTION . . 52 3.2.2
APPLICATION TO SYSTEMS WITHOUT A LAGRANGIAN FUNCTION . . 55 3.3
INTERPRETATION: MICROSCOPIC PATHS 57
3.4 THE ADVANTAGES OF THE ALTERNATIVE FORMULATION 60
3.5 THE UNSATISFACTORY INTEGRATION OF SPIN AND RELATIVITY 63
IMAGE 2
THE DIRAC EQUATION: FEYNMAN'S GREAT STRUGGLE 65
4.1 A BROWNIAN MODEL OF THE ELECTRON 65
4.1.1 THE DIRAC EQUATION IN ONE DIMENSION 66
4.1.2 HOW DIRAC'S EQUATION DESCRIBES ZIGZAG PATHS 68
4.1.3 PATH COUNTING 71
4.1.4 EXPLAINING THE WAVE FUNCTION'S TIME EVOLUTION 75 4.2 WELTON'S
INPUT: THREE DIMENSIONS? 77
4.3 THE NEED FOR AN APPROPRIATE SYMBOL SYSTEM 82
4.3.1 TWO SPATIAL DIMENSIONS 84
4.3.2 THREE SPATIAL DIMENSIONS 84
4.4 FEYNMAN'S PROGRAMME 92
4.5 THE IMPOSSIBLE "PICTURE" 93
4.6 POSITRONS: A THREAT TO PATH COUNTING 95
4.6.1 CLOSED LOOPS 96
4.6.2 DIAGRAMMATIC INDUCTION 96
4.7 DIRECT INTERACTION 102
4.7.1 AN ATTEMPT TO CONSTRUCT A HAMILTONIAN 104
4.7.2 AN UNSATISFACTORY INTERPRETATION 108
FREE PROPAGATION AND SUCCESSIVE SCATTERING 113
5.1 BASIC SOLUTIONS NOT BASIC EQUATIONS 113
5.2 INTERPRETING THE SCHRODINGER AND DIRAC EQUATIONS 115
5.3 THE SCATTERING OF PROBABILITY WAVES 117
5.4 WAVES PROPAGATING FORWARDS AND BACKWARDS IN TIME 120 5.4.1 PAIRS IN
INTERMEDIATE STATES 121
5.4.2 THE PRODUCTION AND ANNIHILATION OF REAL PAIRS 123
5.5 GENERALIZATION TO TWO PARTICLES 124
5.5.1 AUTOMATIC INCLUSION OF THE EXCLUSION PRINCIPLE 124 5.5.2 THE
IRRELEVANCY OF CLOSED LOOPS 126
5.6 INTERACTION: REINTERPRETING THE CLASSICAL REPRESENTATION 130 5.6.1
SCATTERING SITUATIONS ONLY 130
5.6.2 ADAPTING THE CLASSICAL EXPRESSION FOR ELECTROSTATIC INTERACTION
131
5.6.3 INTERPRETING THE POTENTIAL AS THE PROPAGATION OF PHOTONS . . . 133
5.7 THE RIGHT "PICTURE" 136
THE FIELD THEORETICAL SYSTEMATIZATION OF FEYNMAN'S THEORY 141 6.1
WIDESPREAD MISUNDERSTANDING: THE NEED FOR SYSTEMATIZATION . . 141 6.2
DYSON INTERVENES 143
6.2.1. THE MOST APPROPRIATE STATE VECTOR 144
6.2.2 GREEN'S FUNCTIONS INTERPRETED AS VACUUM EXPECTATION VALUES 149
6.3 AN ALGORITHM FOR PAIRING OPERATORS 154
IMAGE 3
6.4 THE DIAGRAMS REDUCED TO THEIR ESSENTIALS 156
6.4.1 DISCONNECTED PARTS 157
6.4.2 SELF-ENERGY PARTS 158
6.5 INTERPRETING THE REDUCED SYMBOLS 160
6.5.1 MASS RENORMALIZATION 161
6.5.2 INTRODUCING A NEW TYPE OF VACUUM POLARIZATION 161 6.5.3 CHARGE
RENORMALIZATION 164
6.6 THE REMOVAL OF THE INFINITIES 165
6.6.1 THE FURTHER REMOVAL OF REDUNDANT SYMBOLS 167
6.6.2 ISOLATING THE INFINITIES 170
7 THE DEVELOPMENT OF A NEW MEANS OF REPRESENTATION: GOALS AND MILESTONES
177
7.1 THE SEARCH FOR SOLUTIONS TO THEORETICAL PROBLEMS 177
7.2 ELABORATION OF A WELL-KNOWN INTERPRETATION 178
7.3 PROBLEMATIC ATTEMPTS TO GENERALIZE FIRST RESULTS 178
7.4 ABANDONING THE SEARCH FOR A MICROSCOPIC JUSTIFICATION 182 7.5 THE
SUCCESSFUL MODIFICATION OF THE THEORY 184
7.5.1 FEYNMAN'S PROPOSAL 184
7.5.2 CRITIQUE 185
7.5.3 THE SYSTEMATIZATION OF FEYNMAN'S METHOD 186
7.6 THE EXPLANATORY POWER OF THE NEW MEANS OF REPRESENTATION . . . 188
APPENDIX A DIAGRAMMATIC INDUCTION 191
A P P E N D IX B S Y N O P S IS OF M A N U S C R I P TS A ND P R I N C I
P AL P U B L I C A T I O NS . . . 1 93
REFERENCES 195
INDEX 203 |
| any_adam_object | 1 |
| author | Wüthrich, Adrian |
| author_GND | (DE-588)142722774 |
| author_facet | Wüthrich, Adrian |
| author_role | aut |
| author_sort | Wüthrich, Adrian |
| author_variant | a w aw |
| building | Verbundindex |
| bvnumber | BV036757593 |
| classification_rvk | UB 2420 UB 2455 |
| ctrlnum | (OCoLC)695943771 (DE-599)DNB1000912078 |
| dewey-full | 530.14/3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.14/3 |
| dewey-search | 530.14/3 |
| dewey-sort | 3530.14 13 |
| dewey-tens | 530 - Physics |
| discipline | Physik Geographie |
| format | Book |
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| language | English |
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| physical | XVII, 208 S. Ill., graph. Darst. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Springer |
| record_format | marc |
| series | Archimedes |
| series2 | Archimedes |
| spelling | Wüthrich, Adrian Verfasser (DE-588)142722774 aut The genesis of Feynman diagrams Adrian Wüthrich Dordrecht [u.a.] Springer 2010 XVII, 208 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Archimedes 26 Entwicklung (DE-588)4113450-3 gnd rswk-swf Feynman-Graph (DE-588)4154291-5 gnd rswk-swf Feynman-Graph (DE-588)4154291-5 s Entwicklung (DE-588)4113450-3 s DE-604 Erscheint auch als Online-Ausgabe 978-90-481-9228-1 Archimedes 26 (DE-604)BV021292753 26 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3442371&prov=M&dok_var=1&dok_ext=htm Inhaltstext SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020674730&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wüthrich, Adrian The genesis of Feynman diagrams Archimedes Entwicklung (DE-588)4113450-3 gnd Feynman-Graph (DE-588)4154291-5 gnd |
| subject_GND | (DE-588)4113450-3 (DE-588)4154291-5 |
| title | The genesis of Feynman diagrams |
| title_auth | The genesis of Feynman diagrams |
| title_exact_search | The genesis of Feynman diagrams |
| title_full | The genesis of Feynman diagrams Adrian Wüthrich |
| title_fullStr | The genesis of Feynman diagrams Adrian Wüthrich |
| title_full_unstemmed | The genesis of Feynman diagrams Adrian Wüthrich |
| title_short | The genesis of Feynman diagrams |
| title_sort | the genesis of feynman diagrams |
| topic | Entwicklung (DE-588)4113450-3 gnd Feynman-Graph (DE-588)4154291-5 gnd |
| topic_facet | Entwicklung Feynman-Graph |
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