Time-dependent quantum mechanics: semiclassical atom-radiation interactions

This lecture delves into the semiclassical treatment of atom-radiation interactions, exploring various recipes to calculate transition probabilities for different perturbations. It covers monochromatic and close to resonance cases, Rabi oscillations, Fermi Golden Rule, and the exact Rabi formalism. The instructor discusses the potential formulation of electromagnetism, the coupled Maxwell equations, and the semiclassical atom-radiation Hamiltonian. The lecture also touches upon the magnitude comparison between electric and magnetic dipoles, matrix elements, and transition probabilities in perturbation theory. Furthermore, it explains the concepts of spontaneous emission, vacuum field, line strength, and the exact Rabi solutions with and without damping.