Asymptotic States and S-matrixCovers the concept of asymptotic states and S-matrix in quantum field theory, focusing on the evolution of wave packets and the scattering states.
QED: Gauge TheoriesCovers Quantum Electrodynamics (QED), instantons, Feynman rules, and gauge theories in modern particle physics.
Scattering Theory OverviewExplores scattering theory, S-matrix, T-product, perturbation theory, and Schrödinger equation solutions.
Gauss RepresentationExplores the Gauss representation of complex numbers, focusing on addition, multiplication, bases, and vector space dimensions.
Scattering in Quantum MechanicsDiscusses the scattering problem, differential cross-section, total cross-section, and Moller operators in quantum mechanics.
Fourier Transform: Concepts and ApplicationsCovers the Fourier transform, its properties, applications in signal processing, and differential equations, emphasizing the concept of derivatives becoming multiplications in the frequency domain.
The DFT as a change of basisExplores the Discrete Fourier Transform as a change of basis and the implications of having orthogonal vectors as a basis for complex numbers.