Covers the Gupta-Bleuler quantization method in Quantum Field Theory, focusing on redundancy in the electromagnetic field and the recovery of Maxwell equations.
Explores the spectral properties of unbounded and bounded systems using Fourier methods and emphasizes the importance of choosing the correct representation for different boundary conditions.
Explores Maxwell equations, Faraday's law, charge conservation, and electromagnetic waves, including their computation and analysis using Fourier transforms.
Discusses the magnetic field induced by a moving charge and the vector potential of a magnetic field, along with Maxwell's equations and the Poisson equations.
Covers the Fourier transform, its properties, applications in signal processing, and differential equations, emphasizing the concept of derivatives becoming multiplications in the frequency domain.