Electricity and Magnetism: New Formulation by Introduction of Superconductivity

Description

Preface to the Second Edition Preface to the First Edition Contents Explanation of the Figures Part I Static Electric Phenomena 1 Electrostatic Field Abstract 1.1 Electric Charge in Vacuum 1.2 Coulomb’s Law 1.3 Electric Field 1.4 Gauss’ Law 1.5 Electric Potential 1.6 Electric Dipole 2 Conductors Abstract 2.1 Electric Properties of Conductors 2.2 Special Solution Method for Electrostatic Field 2.3 Electrostatic Induction 3 Conductor Systems in Vacuum Abstract 3.1 Coefficients in Conductor System 3.2 Capacitor 3.3 Electrostatic Energy 3.4 Electrostatic Force 4 Dielectric Materials Abstract 4.1 Electric Polarization 4.2 Electric Flux Density 4.3 Boundary Conditions 4.4 Electrostatic Energy in Dielectric Materials 5 Steady Current Abstract 5.1 Current 5.2 Ohm’s Law 5.3 Microscopic Investigation of Electric Resistance 5.4 Fundamental Equations for Steady Electric Current 5.5 Electromotive Force 5.6 Kirchhoff’s Law Part II Static Magnetic Phenomena 6 Current and Magnetic Flux Density Abstract 6.1 Magnetic Flux Density by Current 6.2 The Biot–Savart Law 6.3 Force on Current 6.4 Magnetic Flux Lines 6.5 Ampere’s Law 6.6 Vector Potential 6.7 Small Closed Current 6.8 Magnetic Charge 6.9 Equivector Potential Surface 7 Superconductors Abstract 7.1 Magnetic Properties of Superconductors 7.2 Special Solution Method for Magnetic Flux Density 7.3 Meissner State 7.4 Prediction of Superconductivity 8 Current Systems Abstract 8.1 Inductance 8.2 Coils 8.3 Magnetic Energy 8.4 Magnetic Force 9 Magnetic Materials Abstract 9.1 Magnetization 9.2 Magnetic Field 9.3 Boundary Conditions 9.4 Magnetic Energy in Magnetic Material 9.5 Analogy Between Electric and Magnetic Phenomena Part III Time-Dependent Electromagnetic Phenomena 10 Electromagnetic Induction Abstract 10.1 Induction Law 10.2 Potential 10.3 Boundary Conditions 10.4 Magnetic Energy 10.5 Skin Effect 11 Displacement Current and Maxwell’s Equations Abstract 11.1 Displacement Current 11.2 Maxwell’s Equations 11.3 Boundary Conditions 11.4 Electromagnetic Potential 11.5 The Poynting Vector 12 Electromagnetic Wave Abstract 12.1 Planar Electromagnetic Wave 12.2 Reflection and Refraction of the Planar Electromagnetic Wave 12.3 Energy of the Electromagnetic Wave 12.4 Wave Guide 12.5 Spherical Wave 12.6 Retarded Potential Appendix A A1 Vector Analysis A1.1 Scalars and Vectors A1.2 Addition of Vectors A1.3 Products of Vectors and Scalars A1.4 Analytic Expression of a Vector A1.5 Products of Vectors A1.6 Differentiation of Vectors A1.7 Gradient of a Scalar A1.8 Divergence of a Vector A1.9 Curl of a Vector A1.10 Differentiation of Products of Vectors A1.11 Second Differentiation A1.12 Curvilinear Integral of a Vector A1.13 Surface Integral of a Vector A1.14 Gauss’ Theorem A1.15 Stokes’ Theorem A1.16 Green’s Theorem A1.17 Cylindrical Coordinates A1.18 Polar Coordinates A2 Proofs Outline placeholder A2.1 Proof of Eq. (1.37) A2.2 Proof of Eq. (6.21) A2.3 Proof of Eq. (6.27) A2.4 Proof of Eq. (6.33) A2.5 Proof of Eq. (6.46) A2.6 Proof of Eq. (9.5) A3 Superconductivity Outline placeholder A3.1 Phenomenological Electromagnetism A3.2 Mixed State A3.3 Motion of Quantized Magnetic Flux A3.4 Electromagnetism and Superconductivity Answers to Exercises Literature Index