Harmonic Oscillator

This lecture covers the concept of the harmonic oscillator, focusing on the electromagnetic field and the collection of harmonic oscillations. It delves into the Hamiltonian, kinetic energy, potential energy, and equations of motion related to the oscillator. The instructor explains the energy function of the classical harmonic oscillator and its various components, such as kinetic and potential energy. The lecture also discusses the Hamiltonian in terms of momentum and central energy, providing insights into the oscillations and excitations of this mode. Additionally, it explores the construction of operators, state vectors, and the application of the Hamiltonian to the system.