Classical Electrodynamics

Classical Electrodynamics studies the behavior of electric and magnetic fields and their interactions with charged particles, using principles from Hamiltonian mechanics to describe the dynamics of these systems. In this framework, physical systems are represented by mathematical functions that describe energy and motion. Quantum Electrodynamics (QED) extends this understanding by incorporating quantum mechanics, explaining how light and matter interact at the smallest scales, where particles can behave as both waves and particles. Together, these theories provide a comprehensive understanding of electromagnetic phenomena, from everyday electricity to advanced technologies like lasers and semiconductors.