Topological Foundations of Electromagnetism: Topological Foundations of Electromagnetism.rar

Topological Foundations of Electrodynamics (World Scientific Series in Contemporary Chemical Physics)
By Terence W. Barrett




Publisher: World Scientific Publishing Company
Number Of Pages: 196
Publication Date: 2008-03-13
ISBN-10 / ASIN: 9812779965
ISBN-13 / EAN: 9789812779960
Binding: Hardcover



Topological Foundations of Electromagnetism seeks a fundamental understanding of the dynamics of electromagnetism; and marshals the evidence that in certain precisely defined topological conditions, electromagnetic theory (Maxwell’s theory) must be extended or generalized in order to provide an explanation and understanding of, until now, unusual electromagnetic phenomena. Key to this generalization is an understanding of the circumstances under which the so-called A potential fields have physical effects. Basic to the approach taken is that the topological composition of electromagnetic fields is the fundamental conditioner of the dynamics of these fields. The treatment of electromagnetism from, first, a topological perspective, continuing through group theory and gauge theory, to a differential calculus description is a major thread of the book. Suggestions for potential new technologies based on this new understanding and approach to conditional electromagnetism are also given.

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.1. 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
vii
viii Topological 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
Conformal 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

This is a new book,thank you for the job

Topological Foundations of Electromagnetism

�������ص�����

Topological Foundations of Electromagnetism:11bb

many many thanks!

谢谢楼主 我有本经典的电动力学书 什么时候也发上来

多谢楼主了。。。
:30bb :30bb :30bb

很好的书籍，大家一起欣赏吧 ........................................

感谢楼主分享
:11bb :11bb :11bb :11bb

:27bb :27bb :27bb :27bb

很好的书籍，我一直寻找的那本，太感谢楼主了；

thanks !!!:31bb :29bb :30bb

很好的书籍，大家一起欣赏吧 ........................................

新书不放过:11bb :11bb :11bb

thank you for the job

谢谢分享！！！！！！！！！！！！！！！！！！！！！！！！！！

感觉楼主无私分享:11bb :11bb

谢谢斑竹，下下来好好学学，谢谢啊!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

很好的书籍，我一直寻找的那本，太感谢楼主了；

thank you very much!

:29bb :29bb :29bb :29bb

:11bb :27bb :29bb :30bb
不错 谢谢楼主

thank you for your sharing:27bb

谢谢。。。。。。。。。。。。。。。。。。。。。。。。。。

:30bb :29bb :27bb :11bb 感谢。

:12bb :12bb :12bb

:11bb :11bb :11bb

This is a new book,thank you for the job

:11bb :11bb :11bb
:31bb :31bb :31bb

很不错的一本书，赞一个！！！:11bb

:27bb 4# drjiachen

希望大家一起学习讨论。
信息来源：微网社区-微波技术门户网站 http://bbs.mwtee.com
原文链接：http://bbs.mwtee.com/thread-16804-1-1.html

：18de：17de：15de

斑斑的书籍真多啊!

很好的书籍，我一直寻找的那本，太感谢楼主了；:49bb

来学习一下！！

谢谢斑竹，好东西，顶！！

唉，我可是之前花了10元买了一本啊

{:7_1234:}

好书，谢谢楼主

xie xie lou zhu le

Thank you for the job

THX U for ur sharing of Topological Foundations of Electromagnetism

thank u

thank u

比较新颖的论题哦

电磁学方面的拓扑基础值得学习，谢谢楼主

thanks for sharing the classic book

好书!  感谢楼主提供分享!!!!

谢谢分享好书

题目很新颖可以一阅：正是：奇文共欣尝，疑义相与析！！

好书顶起来！

对这个话题非常感兴趣，谢谢

thanks for share

多谢楼主分享

太感谢楼主了；

这个学习一下。

谢谢分享谢谢分享

HMC442LC3B

thanks for sharing

谢谢                                 

很有意思的书