Covariant Electrodynamics : A Concise Guide /
Autor principal: | |
---|---|
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Baltimore :
The Johns Hopkins University Press,
2011.
|
Colección: | Book collections on Project MUSE.
|
Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover
- Contents
- Preface
- 1 Introduction
- 2 Mathematical Preliminaries
- 2.1 A Reminder of Vector Calculus
- 2.2 Special Relativity
- 2.3 Four-Vectors
- 2.4 Covariant and Contravariant Vectors
- 2.5 Tensors
- 2.6 Time Dilation and the Lorentz-FitzGerald Contraction
- 2.7 The Four-Velocity
- 2.8 Energy and Momentum
- 2.9 Plane Waves
- 2.10 Exercises for Chapter 2
- 3 Maxwell's Equations
- 3.1 Our Starting Point
- 3.2 The Experimental Background
- 3.2.1 Coulomb's Law
- 3.2.2 Absence of Magnetic Monopoles
- 3.2.3 Orsted and Amp`ere
- 3.2.4 The Law of Biot and Savart
- 3.2.5 The Displacement Current
- 3.2.6 Faraday's Law of Induction
- 3.2.7 The Lorentz Force
- 3.3 Capacitors and Solenoids
- 3.3.1 Energy
- 3.4 Electromagnetic Waves
- 3.4.1 Polarization
- 3.4.2 Electromagnetism and Light
- 3.5 Exercises for Chapter 3
- 4 Behavior under Lorentz Transformations
- 4.1 The Charge-Current Density Four-Vector
- 4.2 The Lorentz Force
- 4.3 The Potential Four-Vector
- 4.4 Gauge Transformations
- 4.5 The Field-Strength Tensor
- 4.6 The Dual Field-Strength Tensor
- 4.7 Exercises for Chapter 4
- 5 Lagrangian and Hamiltonian
- 5.1 Lagrange's Equations
- 5.2 The Lagrangian for a Charged Particle
- 5.3 The Hamiltonian for a Charged Particle
- 5.4 The Lagrangian for the Electromagnetic Field
- 5.5 The Hamiltonian for the Electromagnetic Field
- 5.6 Noether's Theorem
- 5.7 Exercises for Chapter 5
- 6 Stress, Energy, and Momentum
- 6.1 The Canonical Stress Tensor
- 6.2 The Symmetrical Stress Tensor
- 6.3 The Conservation Laws with Sources
- 6.4 The Field as an Ensemble of Oscillators
- 6.5 Exercises for Chapter 6
- 7 Motion of a Charged Particle
- 7.1 Fields from an Unaccelerated Particle
- 7.2 Motion of a Particle in an External Field
- 7.2.1 Uniform Static Magnetic Field
- 7.2.2 Crossed E and B Fields
- 7.2.3 Nonuniform Static B-Field
- 7.2.4 Curved Magnetic Field Lines
- 7.3 Exercises for Chapter 7
- 8 Fields from Sources
- 8.1 Introducing the Green's Function
- 8.2 The Delta Function
- 8.3 The Green's Function
- 8.4 The Covariant Form for the Green's Function
- 8.5 Exercises for Chapter 8
- 9 Radiation
- 9.1 Potentials from a Moving Charged Particle
- 9.2 The Lienard-Wiechert Potentials
- 9.2.1 Fields from an Unaccelerated Particle
- 9.2.2 Fields from a Charged Oscillator
- 9.3 The General Case
- 9.4 The Multipole Expansion
- 9.4.1 Electric Dipole Radiation
- 9.4.2 Magnetic Dipole and Higher-Order Terms
- 9.5 Motion in a Circle
- 9.6 Radiation from Linear Accelerators
- 9.7 Radiation from an Antenna
- 9.8 Exercises for Chapter 9
- 10 Media
- 10.1 Dispersion
- 10.1.1 Newton on the "Phaenomena of Colours"
- 10.2 Refraction
- 10.2.1 The Boundary Conditions at the Interface
- 10.3 Čerenkov Radiation
- 10.4 Exercises for Chapter 10
- 11 Scattering
- 11.1 Scattering from a Small Scatterer
- 11.2 Many Scatterers
- 11.3 Scattering from the Sky
- 11.3.1 The Born Approximation