Topological foundations of electromagnetism
Terence W. Barrett.
Bok Engelsk 2008 T. W. Barrett,· Electronic books.
| Utgitt | Hackensack, NJ : : World Scientific, , c2008.
|
|---|---|
| Omfang | 1 online resource (196 p.)
|
| Opplysninger | Description based upon print version of record.. - Preface; Chapter 1: Electromagnetic Phenomena Not Explained by Maxwell's Equations; Overview; Prolegomena A: Physical Effects Challenging a Maxwell Interpretation; Prolegomena B: Interpretation of Maxwell's Original Formulation; B.1. The Faraday-Maxwell formulation; B.2. The British Maxwellians and the Maxwell- Heaviside formulation; B.3. The Hertzian and current classical formulation; 1. Introduction; 2. What is a Gauge?; 3. Empirical Reasons for Questioning the Completeness of Maxwell's Theory; 3.1. Aharonov-Bohm (AB) and Altshuler-Aronov- Spivak (AAS) effects. - 3. The Phase Factor Concept3.1. SU(2) group algebra; 3.2. A short primer on topological concepts; 4. Minkowski Space-Time Versus Cartan-Weyl Form; 5. Discussion; References; Chapter 3: Topological Approaches to Electromagnetism; Overview; 1. Solitons; 2. Instantons; 3. Polarization Modulation Over a Set Sampling Interval; 4. The Aharonov-Bohm Effect; 5. Discussion; Index. - 3.2. Topological phases: Berry, Aharonov- Anandan, Pancharatnam and Chiao-Wu phase rotation effects3.3. Stokes' theorem re-examined; 3.4. Properties of bulk condensed matter - Ehrenberg and Siday's observation; 3.5. The Josephson effect; 3.6. The quantized Hall effect; 3.7. The de Haas-van Alphen effect; 3.8. The Sagnac effect; 3.9. Summary; 4. Theoretical Reasons for Questioning the Completeness of Maxwell's Theory; 5. Pragmatic Reasons for Questioning the Completeness of Maxwell's Theory; 5.1 Harmuth's ansatz. - 5.2 Conditioning the electromagnetic .eld into altered symmetry: Stokes' interferometers and Lie algebras5.3 Non-Abelian Maxwell equations; 6. Discussion; References; 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; Overview; 1. Sagnac Effect Phenomenology; 1.1. The kinematic description; 1.2. The physical-optical description; 1.3. The dielectric metaphor description; 1.4. The gauge field explanation; 2. The Lorentz Group and the Lorenz Gauge Condition. - <i>Topological Foundations of Electromagnetism</i> 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 <i>A</i> potential fields have physical effects. Basic to the approach taken is that the topological composition of electr
|
| Emner | |
| Sjanger | |
| Dewey | |
| ISBN | 9789812779960. - 9812779965
|
