E10 · Relativistic electrodynamics
A 22-module path through e10 · relativistic electrodynamics, in study order from foundations to the frontier.
Modules
- Postulates of Special Relativity
- Lorentz Transformations
- Spacetime and Minkowski Geometry
- Four-Vectors and the Metric Tensor
- Proper Time and Four-Velocity
- Relativistic Energy and Four-Momentum
- Transformation of Electric and Magnetic Fields
- Magnetism as a Relativistic Effect
- The Four-Current Density
- The Four-Potential
- The Electromagnetic Field Tensor
- The Dual Field Tensor
- Lorentz Invariants of the Field
- Covariant Form of Maxwell's Equations
- Gauge Transformations and Covariant Gauge Conditions
- Relativistic Dynamics of a Charged Particle
- Relativistic Lagrangian and Action for Charged Particles
- The Electromagnetic Stress-Energy Tensor
- Conservation Laws and Energy-Momentum Flow
- Covariant Wave Equation and Retarded Solutions
- Relativistic Doppler Effect and Aberration
- Tensor Formulation of Fields in Media