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BL
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| Record Number
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890584
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| Main Entry
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Barrett, Terence W.
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| Title & Author
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Advanced Electromagnetism : : Foundations.
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| Publication Statement
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Singapore :: World Scientific Publishing Company,, 1995.
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| Page. NO
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1 online resource (807 pages)
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| ISBN
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9789812831323
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: 9812831320
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| Notes
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10. The geometrical optics approximation and the monopole in an electric central field.
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| Contents
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PREFACE; CONTENTS; FOREWORD; Foundations; GAUGE THEORIES, AND BEYOND; 0. Introduction; 1. The Gauge Makeup; 1.1 Pure electromagnetism; 1.2 The non-abelian case; 2. Some Differential Geometry; 2.1 Manifolds; 2.2 A prototype -- the tangent bundle; 2.3 The language of forms; 2.4 Transformations; 3. Fiber Bundles; 3.1 Vector and principal bundles; 3.2 Connections; 3.3 Orthogonal bundles; 4. The Bundle Tangent Structure; 4.1 Gauge theories in a nutshell; 4.2 Linear frames; 5. Gauge and Gravitation; 6. Beyond; 6.1 Lie algebra extensions; 6.2 A cohomological interlude; 6.3 Field algebras on manifolds.
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10. Coulomb Potential-Induced Archimedian Lift -- or Rest11. Relativistic Far-Action-Reaction in the Wheeler-Feynman Electrodynamics; 12. Angular Action-Reaction Opposition, a Feynman Lectures Conundrum, and de Broglie's Photon Spin Density; 13. De Broglie's Photon Energy-Momentum and Spin Tensors; 14. Constant-Potential-Dependent Forces as Source Reactions; 15. On the Akjl Energy-Momentum and Almjk Spin Tensors; 16. Lorentz Condition Revisited; 17. Lorentz Condition in the Dirac Electron Theory; 18. Conclusion: Electro-graviflc Interaction.
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19. Appendix: Euclidean-Galilean Rigid Bodies and WrenchesReferences; THE SYMMETRY BETWEEN ELECTRICITY AND MAGNETISM AND THE PROBLEM OF THE EXISTENCE OF A MAGNETIC MONOPOLE; 1. Introduction; 2. At the beginning was symmetry; 3. The Birkeland-Poincare effect; 4. Forces and potentials for a magnetic pole; 5. Dirac strings; 6. A spinor wave equation for a magnetic monopole; a) Scalar gauge and chiral gauge in the Dirac equation; b) The wave equation; 7. Symmetries of the wave equation; a) Gauge invariance; b) CPT; 8. Weyl's representation. Two-component theory; 9. Chiral currents.
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6.4 Extended gauge theories7. Conclusion; HELICITY AND ELECTROMAGNETIC FIELD TOPOLOGY; 1.0 Magnetic Surfaces; 1.1. Topology of Non-Constant a Solutions to the Force-Free Field Equations; 1.2. Topology of Constant a Solutions to the Force-Free Field Equations; 2.0 Magnetic Field Helicity; 2.1. Twist, Kink and Link Helicity; 2.2. Helicity and Locality; 2.3. The Classical and Asymptotic Hopf Invariant; 2.3.1 The Classical Hopf Invariant; 2.3.2 The Asymptotic Hopf Invariant; References.
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ELECTROMAGNETIC GAUGE AS INTEGRATION CONDITION: EINSTEIN'S MASS-ENERGY EQUIVALENCE LAW AND ACTION-REACTION OPPOSITION1. Introduction; 2. Electromagnetic Hidden Linear Momentum; 3. Electromagnetic Hidden Angular Momentum; 4. Summary of Three 1967-68 Papers; Penfield-Haus Extra-Linear and Sommerfeld Extra-Angular Momentum; 5. Interlaced Toroidal Magnet and Current Loop; 6. Ampere Stress Tension T = IA along a Current Loop; 7. Self-Energy and Ampere Stress Tension; 8. Graneau's and Saumont's Experiments Evidencing the Vector Potential; 9. From Weber 1848 to Darwin 1920.
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| Abstract
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Advanced Electromagnetism: Foundations, Theory and Applications treats what is conventionally called electromagnetism or Maxwell's theory within the context of gauge theory or Yang-Mills theory. A major theme of this book is that fields are not stand-alone entities but are defined by their boundary conditions. The book has practical relevance to efficient antenna design, the understanding of forces and stresses in high energy pulses, ring laser gyros, high speed computer logic elements, efficient transfer of power, parametric conversion, and many other devices and systems. Conventional electro.
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| Subject
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Electromagnetism.
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| Dewey Classification
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537
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| LC Classification
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QC760 .A28 1995
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| Added Entry
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Grimes, Dale M.
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