دانلود کتاب Classical Electrodynamics : From Image Charges to the Photon Mass and Magnetic Monopoles

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Preface to the Second Edition
Preface to the First Edition
Contents
1 Classical Electrodynamics: A Short Review
1.1 Coulomb\'s Law and the First Maxwell Equation
1.2 Charge Conservation and Continuity Equation
1.3 Absence of Magnetic Charges in Nature and the Second Maxwell Equation
1.4 Laplace\'s Laws, Biot and Savart Law and the Steady Fourth Maxwell Equation
1.5 Faraday\'s Law and the Third Maxwell Equation
1.6 Displacement Current and the Fourth Maxwell Equation
1.7 Maxwell Equations in Vacuum
1.8 Maxwell Equations in Matter
1.9 Electrodynamic Potentials and Gauge Transformations
1.10 Electromagnetic Waves
References
2 Multipole Expansion of the Electrostatic Potential
2.1 The Potential of the Electric Dipole
2.2 Interaction of the Dipole with an Electric Field
2.3 Multipole Expansion for the Potential of a Distribution of Point Charges
2.4 Properties of the Electric Dipole Moment
2.5 The Quadrupole Tensor
2.6 A Bidimensional Quadrupole
Problems
Solutions
References
3 The Method of Image Charges
3.1 The Method of Image Charges
3.2 Point Charge and Conductive Plane
3.3 Point Charge and Conducting Sphere
3.3.1 Force on a Point Charge Near a Charged Conducting Sphere
3.4 Conducting Sphere in a Uniform Electric Field
3.5 A Charged Wire Near a Cylindrical Conductor
Problems
Solutions
References
4 Image Charges in Dielectrics
4.1 Electrostatics in Dielectric Media
4.2 Point Charge Near the Plane Separating Two Dielectric Media
4.3 Dielectric Sphere in an External Uniform Electric Field
Problems
Solutions
References
5 Series of Image Charges
5.1 Point Charge Between Two Grounded Plates
5.2 Two Separated Charged Conductive Spheres
5.3 Force Between Two Charged Spherical Conductors
5.4 A Charged Conductive Sphere and a Conductive Plate at Ground
5.5 Dielectric Sphere and Point Charge
Problems
Solutions
References
6 Functions of Complex Variables and Electrostatics
6.1 Analytic Functions of Complex Variable
6.2 Electrostatics and Analytic Functions
6.3 The Function f left parenthesis z right parenthesis equals z Superscript muf(z)=zµ
6.3.1 The Quadrupole: f left parenthesis z right parenthesis equals z squaredf(z)=z2
6.3.2 The Conductive Wedge at Fixed Potential
6.3.3 Edge of a Thin Plate
6.4 The Charged Wire: f left parenthesis z right parenthesis equals log zf(z)= logz
Problems
Solutions
References
7 Conformal Mapping in Electrostatics
7.1 Conformal Mapping
7.2 Conformal Mapping and Harmonic Functions
7.3 Conformal Mapping and Bilinear Electrostatic Problems
7.3.1 Charged Wire Between Two Grounded Plates
7.4 The Linear-Fractional Function
7.4.1 The Split Cylinder: Two Opposite Half Cylinders at Different Potentials
7.5 The Schwarz-Christoffel Transformation
7.5.1 Conformal Transformation for a Single Corner
7.5.2 The Field Near the Edge of a Parallel-Plate Capacitor
Problems
Solutions
References
8 Separation of Variables in Laplace Equation
8.1 The Method of Separation of Variables
8.2 Orthogonal and Complete Sets of Functions
8.3 Separation of Variables in the Laplace Equation
8.4 Separation of Variables in Cartesian Coordinates
8.4.1 Box with a Side at Given Potential and Five Conductive Grounded Sides
8.5 Separation of Variables in Spherical Coordinates with Azimuthal Symmetry
8.5.1 A Dielectric Sphere in a Uniform Electric Field
8.5.2 Potential for a Charged Ring
8.5.3 Conducting/Dielectric Sphere and Point Charge
8.6 Separation of Variables in Spherical Coordinates
8.7 Separation of Variables in Polar (Cylindrical) Coordinates
8.7.1 Wire and Cylindrical Capacitor
8.7.2 Conducting Wedge (Corner)
8.7.3 Split Cylinder
8.7.4 Cylinder in a Uniform Electric Field
Problems
Solutions
References
9 Relativistic Transformation of E and B Fields
9.1 From Charge Invariance to the 4-Current Density
9.2 Electric Current in a Wire and a Charged Particle in Motion
9.3 Transformation of the E and B Fields
9.4 The Total Charge in Different Frames
9.5 Force Between Wires Carrying Currents
9.6 Electromagnetic Induction and Relative Motion of Circuits
Problems
Solutions
References
10 Relativistic Covariance of Electrodynamics
10.1 Electrodynamics and Special Theory of Relativity
10.2 4-Vectors, Covariant and Contravariant Components
10.3 Relativistic Covariance of the Electrodynamics
10.4 4-Vector Potential and the Equations of Electrodynamics
10.5 The Continuity Equation
10.6 The Electromagnetic Tensor
10.7 Lorentz Transformation for Electric and Magnetic Fields
10.8 Maxwell Equations
10.8.1 Inhomogeneous Equations
10.8.2 Homogeneous Equations
10.9 Potential Equations
10.10 Gauge Transformations
10.11 Phase of the Wave
10.12 The Equations of Motion for a Charged Particle in the Electromagnetic Field
References
11 Energy and Momentum of the Electromagnetic Field
11.1 Poynting\'s Theorem
11.2 Examples
11.2.1 Resistor
11.2.2 Solenoid
11.2.3 Capacitor
11.3 Energy Transfer in Electrical Circuits
11.4 Momentum Conservation in a System of Charges and Fields
11.5 The Maxwell Stress Tensor
11.6 Radiation Pressure on a Surface
11.7 Angular Momentum
11.8 The Covariant Maxwell Stress Tensor
Problems
Solutions
References
12 The Feynman Paradox
12.1 The Paradox
12.2 A Charge and a Small Magnet
12.3 Analysis of the Angular Momentum Present in the System
12.4 Two Cylindrical Shells with Opposite Charge in a Vanishing Magnetic Field
References
13 The Resonant Cavity
13.1 The Capacitor at High Frequency
13.2 The Resonant Cavity
Problems
Solutions
References
14 Fields and Radiation
14.1 Fields of a Point Charge in Uniform Motion
14.1.1 Fields from the Lorentz Transformed Potentials for a Point Charge in Uniform Motion
14.2 Potentials and Fields for a Point Charge in Arbitrary Motion
14.2.1 The Retarded Potentials
14.2.2 Liénard-Wiechert Potentials
14.2.3 Comment to the Liénard-Wiechert Potentials
14.2.4 Covariant Form of the Liénard-Wiechert Potentials
14.2.5 Electric and Magnetic Fields
14.2.6 Calculation of the Electric and Magnetic Fields
14.3 Radiation by an Accelerated Charge
14.3.1 Radiation by a Charged Particle with Velocity v llc
14.3.2 Radiation by a Charged Particle with the Acceleration Parallel to the Velocity
14.3.3 Power Radiated by a Charged Particle in Arbitrary Motion
14.3.4 Radiation by a Charged Particle with the Acceleration Normal to the Velocity
14.4 Radiation Reaction
14.5 Electric Dipole Radiation
Problems
Solutions
References
15 Test of the Coulomb\'s Law and Limits on the Mass of the Photon
15.1 Gauss\'s Law
15.2 First Tests of the Coulomb\'s Law
15.3 Proca Equations
15.4 The Williams, Faller and Hill Experiment
15.5 Limits from Measurements of the Magnetic Field of the Earth and of Jupiter
15.6 The Lakes Experiment
15.7 Other Measurements
15.8 Comments
References
16 Magnetic Monopoles
16.1 Generalized Maxwell Equations
16.2 Generalized Duality Transformation
16.3 Symmetry Properties for Electromagnetic Quantities
16.4 The Dirac Monopole
16.5 Magnetic Field and Potential of a Monopole
16.6 Quantization Relation
16.7 Quantization from Electric Charge-Magnetic Pole Scattering
16.8 Properties of the Magnetic Monopoles
16.8.1 Magnetic Charge and Coupling Constant
16.8.2 Energy Losses for Monopoles in Matter
16.8.3 Magnetic Monopoles in Magnetic Field
16.9 Searches for Magnetic Monopoles
16.9.1 Detection of Magnetic Monopoles
16.9.2 Searches for Dirac Monopoles at Accelerators
16.9.3 Search for Cosmic Monopoles
16.9.4 Bounds on the Flux of Cosmic Magnetic Monopoles
16.9.5 Direct Searches for Cosmic Massive Monopoles
References
Appendix A Orthogonal Curvilinear Coordinates
A.1 Orthogonal curvilinear coordinates
A.2 Gradient
A.3 Divergence
A.4 Curl
A.5 Laplacian
A.6 Systems of Orthogonal Curvilinear Coordinates
A.7 Spherical Coordinates
A.8 Cylindrical Coordinates
References
Index