.

0 (hodnocen0 x )

BK

2nd ed.

Singapore : World Scientific, c2004

xxii, 757 s. ; 23 cm

ISBN 981-238-219-4 (brož.)

Bibliografie na s. 571-572, rejstřík

000002532

Foreword xv // Preface to the Second Edition xvii // Preface to the First Edition xix // Chapter 1 Mathematical Introduction 1 // 1.1 Vector Notation 1 // 1.2 Fields 4 // 1.3 Vector Differential Operator 5 // 1.4 Gauss’s Theorem and Related Theorems 7 // 1.4.1 The Gradient Theorem 8 // 1.4.2 The Divergence Theorem 9 // 1.4.3 The Curl Theorem 9 // 1.4.4 Green’s Theorem 10 // 1.4.5 Stokes’s Theorem 11 // Exercises 14 // Chapter 2 Charges and Electrostatics 19 // 2.1 Basic Phenomena 19 // 2.1.1 The Superposition Principle 20 // 2.1.2 The Symmetry Principle 21 // 2.2 Units 22 // 2.2.1 The Electrostatic System of Units (ESU) 22 // 2.2.2 The International System of Units (SI) 23 // 2.3 The Gauss Flux Theorem and the // First Maxwell Equation 25 // vii // viii Classical Theory of Electromagnetism // 2.4 Singular and General Charge Distributions 27 // 2.5 Some Potential Theory 32 // 2.6 Properties of Spherical Harmonics 35 // 2.6.1 Normalization 35 // 2.6.2 Orthogonality 35 // 2.6.3 Symmetry 36 // 2.6.4 Examples 36 // 2.6.5 Legendre Polynomials, P/(cos ?) 36 // 2.7 The Mean Value Theorem 41 // 2.8 Conductors and Insulators 42 // 2.9 General Electrostatic Problems 45 // 2.9.1 Dirichlet Boundary Value Problem 48 // 2.9.2 Neumann Boundary Value Problem 49 // 2.10 Forces and the Stress Tensor 56 // 2.11 The Field Energy 60 // 2.12 Earnshaw’s Theorem 64 // 2.13 Thompson’s Theorem 66 // 2.14 Polarization 73 // 2.15 Field Energy in a Dielectric with Constant ? 83 // 2.16 Field Energy in a Dielectric for Which ? = K(x) 85 // 2.17 Forces on a Dielectric 87 // 2.18 The Stress Tensor 91 // 2.19 Capacitance 94 // Exercises 98 // Chapter 3 Stationary Currents and Magnetostatics 109 // 3.1 Lorentz Force and the Biot and Savart Law 109 // 3.1.1 The Force Law 109 // 3.1.2 The Biot and Savart Law 113 // 3.2 Forces between Current Loops 116 // 3.3 Units 117 //

3.3.1 The Electromagnetic System of Units (EMU) 117 // 3.3.2 The SI System of Units 119 // 3.3.3 The Gaussian System of Units 120 // Contents ix // 3.4 The Vector Potential 124 // 3.5 Forces and the Magnetic Stress Tensor 127 // 3.6 Magnetic Media 129 // 3.6.1 Paramagnetic Materials 137 // 3.6.2 Diamagnetic Materials 142 // 3.7 B and H 144 // Exercises 146 // Chapter 4 Induction and Quasi-Stationary Phenomena 157 // 4.1 Effect of Time Variations on V x ? and V x H 157 // 4.2 Induction Phenomena 160 // 4.3 Temporal Variation of a Flux through a Moving Surface Element 162 // 4.4 Differential Formulation of the Law of Induction 165 // 4.5 Quasi-Stationary Phenomena 170 // 4.6 Self-Inductance and Mutual Inductance 171 // 4.7 About Units 177 // Exercises 179 // Chapter 5 General Discussion of Maxwell // Equations 187 // 5.1 Introduction 187 // 5.2 Field Equations, Forces Acting on Charged Matter, and // Conservation Laws 187 // 5.3 Conservation Laws for the Macroscopic Case 194 // 5.4 Energy and Momentum Conservation in General 198 // 5.5 Complex Field 199 // 5.6 Electromagnetic Waves in Vacuum and in Continuous Media 201 // 5.7 Radiation Pressure 208 // 5.8 Reflection of Waves 211 // 5.9 Electromagnetic Waves in a Conducting Medium 223 // 5.10 Electromagnetic Potentials and Gauge Transformations 230 // Exercises 241 // Chapter 6 Theory of Relativity: I 249 // 6.1 Principle of Relativity in Mechanics and Electrodynamics 249 // 6.1.1 Galileian Transformation 249 // 6.2 The Search for an Absolute Frame Tied to the Ether 251 // 6.3 Einstein’s Postulates 256 // 6.4 Lorentz Transformation 256 // 6.5 Lorentz Contraction, Time Dilation, and Addition of Velocities 261 // 6.6 Minkowski Notation 265 // 6.7 General Lorentz Transformation 267 // 6.8 Scalars, Vectors, and Tensors in Four Dimensions 275 // 6.9 Four-Velocity, Four-Acceleration, and Proper Time 282 //

6.10 Lorentz-Covariant Form of the Potential Equations 284 // 6.11 Plane Waves 287 // 6.12 The Twin Paradox 296 // Exercises 301 // Chapter 7 Theory of Relativity: II 313 // 7.1 Lorentz Transformation and E and ? Fields 313 // 7.2 Charged Mass Point in Electromagnetic Field. Minkowski Force 325 // 7.3 Gauss’s Theorem in Four Dimensions 331 // 7.4 Electromagnetic Energy-Momentum Tensor 337 // 7.5 Green’s Functions for the Potential Equations 346 // 7.6 Retarded, Advanced, and Symmetrical Potentials 353 // Exercises 357 // Chapter 8 Radiation from a Moving Point Charge 367 // 8.1 Liénard-Wiechert Potentials of a Moving Point Charge 367 // 8.2 Fields of a Moving Point Charge 373 // 8.3 Fields of a Slow-Moving Point Charge 388 // 8.3.1 General Case 388 // 8.3.2 Small Periodic Oscillations in One Dimension 390 // 8.4 Radiation from a Moving Charged Particle 395 // 8.4.1 Parallel Velocity and Acceleration 399 // 8.4.2 Perpendicular Velocity and Acceleration 405 // 8.5 Synchrotron Radiation 408 // Exercises 416 // Chapter 9 Radiation Damping and // Electromagnetic Mass 423 // 9.1 Introduction 423 // 9.2 Evaluation of the Self-Force and Radiation Damping 425 // 9.3 Energy Loss by Radiation. Application to Periodic Motion 438 // 9.4 Forced Vibrations 439 // 9.5 Scattering of Radiation 442 // 9.5.1 Rayleigh Scattering 445 // 9.5.2 Thomson Scattering 446 // 9.5.3 Resonance Scattering 447 // Exercises 450 // Chapter 10 Radiation from Periodic Charge and // Current Distributions 453 // 10.1 Multipole Expansion 453 // 10.2 Electric and Magnetic Multipoles 465 // 10.3 Multipole Expansion Using Spherical Harmonics 468 // 10.4 Angular Distribution of Multipole Radiation 472 // Exercises 479 // Chapter 11 Lagrangian and Hamiltonian Formulations of Electrodynamics 483 // 11.1 Outline of Classical Mechanics 483 //

11.2 Lagrangian Formulation of the Motion of a Charged Particle in Given Fields 486 // 11.3 Hamiltonian Formulation of the Motion of a Charged Particle in Given Fields 488 // 11.4 Lagrangian Formulation of the Maxwell Equations 492 // 11.5 Hamiltonian Formulation of the Maxwell Equations 504 // 11.6 Poisson Bracket Method 508 // 11.7 Hamiltonian of a Closed System 518 // Exercises 525 // Chapter 12 Electromagnetic Properties of Matter 527 // 12.1 Normal and Anomalous Dispersion 527 // 12.2 Multiple Scattering Theory of the Index // of Refraction 536 // 12.3 Kramers- Kronig Relations 548 // 12.4 General Observations on the Kramers-Kronig // Relations 555 // 12.5 Relaxation 559 // 12.6 Plasma Frequency 562 // Exercises 564 // Appendix A. How to Convert a Given Amount of a Quantity from SI Units to Gaussian Units 567 // Appendix B. How to Convert an Equation from SI Units to Gaussian Units 569 // Bibliography 571 // Author Index 573 // Subject Index 574