Topological foundations of electromagnetism:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Jersey [u.a.]
World Scientific
2009
|
| Ausgabe: | 1. publ., reprinted |
| Schriftenreihe: | World Scientific series in contemporary chemical physics
26 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | IX, 185 S. graph. Darst. |
| ISBN: | 9812779965 9789812779960 |
Internformat
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| 100 | 1 | |a Barrett, Terence W. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Topological foundations of electromagnetism |c Terence W. Barrett |
| 250 | |a 1. publ., reprinted | ||
| 264 | 1 | |a New Jersey [u.a.] |b World Scientific |c 2009 | |
| 300 | |a IX, 185 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a World Scientific series in contemporary chemical physics |v 26 | |
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Electromagnetism | |
| 650 | 4 | |a Elektromagnetismus ; IND: s | |
| 650 | 4 | |a Electromagnetism | |
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Datensatz im Suchindex
| _version_ | 1804140734199103488 |
|---|---|
| adam_text | Contents
Preface
..............................
v
Chapter
1:
Electromagnetic Phenomena Not Explained
by Maxwell s Equations
1
Overview
............................. 1
Prolegomena A: Physical Effects Challenging a Maxwell
Interpretation
........................ 3
Prolegomena B: Interpretation of Maxwell s Original
Formulation
......................... 6
B.I. The Faraday-Maxwell formulation
......... 6
B.2. The British Maxwellians and the Maxwell-
Heaviside formulation
................ 7
B.3. The Hertzian and current classical formulation
... 9
1.
Introduction
......................... 12
2.
What is a Gauge?
...................... 16
3.
Empirical Reasons for Questioning the Completeness
of Maxwell s Theory
.................... 18
3.1. Aharonov-Bohm (AB)
and Altshuler-Aronov-
Spivak
(AAS)
effects
................. 18
3.2.
Topological phases: Berry, Aharonov-
Anandan, Pancharatnam and Chiao-Wu phase
rotation effects
.................... 27
3.3.
Stokes theorem re-examined
............. 36
3.4.
Properties of bulk condensed matter
—
Ehrenberg
and Siday s observation
.......... 38
3.5.
The
Josephson
effect
................. 39
viii Topologicul
Foundations
to
Electromagnetism
3.6.
The quantized Hall effect
............... 42
3.7.
The
de Haas-van Alphen
effect
........... 45
3.8.
The Sagnac effect
................... 46
3.9.
Summary
....................... 49
4.
Theoretical Reasons for Questioning the Completeness of
Maxwell s Theory
...................... 50
5.
Pragmatic Reasons for Questioning the Completeness of
Maxwell s Theory
...................... 56
5.1
Harmuth s ansatz
................... 56
5.2
Conditioning the electromagnetic field into altered
symmetry: Stokes interferometers and Lie algebras
60
5.3
Non-Abelian Maxwell equations
........... 70
6.
Discussion
.......................... 74
References
............................. 76
Chapter
2:
The Sagnac Effect: A Consequence
of Conservation of Action Due to Gauge Field Global
Conformai Invariance
in a Multiply Joined Topology
of Coherent Fields
95
Overview
............................. 95
1.
Sagnac Effect Phenomenology
............... 96
1.1.
The kinematic description
.............. 98
1.2.
The physical-optical description
........... 101
1.3.
The dielectric metaphor description
......... 105
1.4.
The gauge field explanation
............. 106
2.
The
Lorentz
Group and the
Lorenz
Gauge Condition
. . . 115
3.
The Phase Factor Concept
................. 116
3.1.
SU(2) group algebra
.................. 118
3.2.
A short primer on topological concepts
....... 122
4.
Minkowski Space-Time Versus Cartan-Weyl Form
.... 129
5.
Discussion
.......................... 134
References
............................. 137
Contents ix
Chapter
3: Topological
Approaches to
Electromagnetism
141
Overview
............................. 141
1. Solitons............................ 149
2.
Instantons..........................
154
3.
Polarization Modulation Over a Set Sampling Interval
. . 156
4.
The Aharonov-Bohm Effect
................ 168
5.
Discussion
.......................... 181
|
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| id | DE-604.BV035792555 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:04:41Z |
| institution | BVB |
| isbn | 9812779965 9789812779960 |
| language | English |
| lccn | 2008299831 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018651864 |
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| physical | IX, 185 S. graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | World Scientific |
| record_format | marc |
| series | World Scientific series in contemporary chemical physics |
| series2 | World Scientific series in contemporary chemical physics |
| spelling | Barrett, Terence W. Verfasser aut Topological foundations of electromagnetism Terence W. Barrett 1. publ., reprinted New Jersey [u.a.] World Scientific 2009 IX, 185 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier World Scientific series in contemporary chemical physics 26 Includes bibliographical references and index Electromagnetism Elektromagnetismus ; IND: s Elektromagnetismus (DE-588)4014306-5 gnd rswk-swf Elektromagnetismus (DE-588)4014306-5 s DE-604 World Scientific series in contemporary chemical physics 26 (DE-604)BV009659296 26 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018651864&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Barrett, Terence W. Topological foundations of electromagnetism World Scientific series in contemporary chemical physics Electromagnetism Elektromagnetismus ; IND: s Elektromagnetismus (DE-588)4014306-5 gnd |
| subject_GND | (DE-588)4014306-5 |
| title | Topological foundations of electromagnetism |
| title_auth | Topological foundations of electromagnetism |
| title_exact_search | Topological foundations of electromagnetism |
| title_full | Topological foundations of electromagnetism Terence W. Barrett |
| title_fullStr | Topological foundations of electromagnetism Terence W. Barrett |
| title_full_unstemmed | Topological foundations of electromagnetism Terence W. Barrett |
| title_short | Topological foundations of electromagnetism |
| title_sort | topological foundations of electromagnetism |
| topic | Electromagnetism Elektromagnetismus ; IND: s Elektromagnetismus (DE-588)4014306-5 gnd |
| topic_facet | Electromagnetism Elektromagnetismus ; IND: s Elektromagnetismus |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018651864&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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