Eletrodinâmica Relativística

Professora

• Sandra Padula

Duração

• 16 semanas

Audiência

• Estudantes de Pós-Graduação em Física Teórica e Experimental

Matrícula

• Os documentos podem ser encontrados aqui

Pré-requisitos Recomendados

• Introdução à quadrivetores, cinemática relativística e espaços de fase:
  • Cinemática Relativística, S. F. Novaes.

Formato do Curso

• Aulas, Exercícios e Provas

Livro Texto

• The Classical Theory of Fields, L. D. Landau e E. M. Lifshitz (Butterworth-Heinemann, 4th Ed., 1987)

Bibliografia Suplementar

• Classical Electrodynamics: A Modern Perspective Kurt Lechner (Springer, 2018)
• Classical Electrodynamics John David Jackson (Wiley, John & Sons, 3rd Edition)
• Introduction To Electrodynamics David J. Griffiths (Cambridge University Press, 2018)

Programa do Curso

Chapter 1. The Principle of Relativity

• 1 Velocity of propagation of interaction
• 2 Intervals
• 3 Proper time
• 4 The Lorentz transformation
• 5 Transformation of velocities
• 6 Four-vectors
• 7 Four-dimensional velocity

Chapter 2. Relativistic Mechanics

• 8 The principle of least action
• 9 Energy and momentum
• 10 Transformation of distribution functions
• 11 Decay of particles
• 12 Invariant cross-section
• 13 Elastic collisions of particles
• 14 Angular momentum

Chapter 3. Charges in Electromagnetic Fields

• 15 Elementary particles in the theory of relativity
• 16 Four-potential of a field
• 17 Equations of motion of a charge in a field
• 18 Gauge invariance
• 19 Constant electromagnetic field
• 20 Motion in a constant uniform electric field
• 21 Motion in a constant uniform magnetic field
• 22 Motion of a charge in constant uniform electric and magnetic fields
• 23 The electromagnetic field tensor
• 24 Lorentz transformation of the field
• 25 Invariants of the field

Chapter 4. The Electromagnetic Field Equations

• 26 The first pair of Maxwell's equations
• 27 The action function of the electromagnetic field
• 28 The four-dimensional current vector
• 29 The equation of continuity
• 30 The second pair of Maxwell equations
• 31 Energy density and energy flux
• 32 The energy-momentum tensor
• 33 Energy-momentum tensor of the electromagnetic field
• 34 The virial theorem
• 35 The energy-momentum tensor for macroscopic bodies

Chapter 5. Constant Electromagnetic Fields

• 36 Coulomb's law 
• 37 Electrostatic energy of charges 
• 38 The field of a uniformly moving charge
• 39 Motion in the Coulomb field 
• 40 The dipole moment
• 41 Multipole moments
• 42 System of charges in an external field 
• 43 Constant magnetic field 
• 44 Magnetic moments 
• 45 Larmor's theorem

Chapter 6. Electromagnetic Waves

• 46 The wave equation 
• 47 Plane waves
• 48 Monochromatic plane waves 
• 49 Spectral resolution 
• 50 Partially polarized light
• 51 The Fourier resolution of the electrostatic field 
• 52 Characteristic vibrations of the field 

Chapter 8. The Field of Moving Charges

• 62 The retarded potentials 
• 63 The Lienard-Wiechert potentials 
• 64 Spectral resolution of the retarded potentials 
• 65 The Lagrangian to terms of second order

Chapter 9. Radiation of Electromagnetic Waves

• 66 The field of a system of charges at large distances
• 67 Dipole radiation 
• 68 Dipole radiation during collisions 
• 69 Radiation of low frequency in collisions 
• 70 Radiation in the case of Coulomb interaction 
• 71 Quadrupole and magnetic dipole radiation 
• 72 The field of the radiation at near distances
• 73 Radiation from a rapidly moving charge 
• 74 Synchrotron radiation (magnetic bremsstrahlung) 
• 75 Radiation damping
• 76 Radiation damping in the relativistic case 
• 77 Spectral resolution of the radiation in the ultrarelativistic case 
• 78 Scattering by free charges
• 79 Scattering of low-frequency waves
• 80 Scattering of high-frequency waves