Quantum Harmonic Oscillator: Basics

This lecture covers the basics of the quantum harmonic oscillator, starting with the De Broglie wave function and the uncertainty principle. It then delves into the classical harmonic oscillator model, discussing potential energy, oscillations, and energy quantization. The quantum harmonic oscillator is introduced through the Schrödinger equation, exploring eigenfunctions and energy quantization. Excited states and hermit polynomials are also discussed, highlighting the quantization of energy levels. The lecture concludes with applications of the harmonic oscillator in quantum electrodynamics and open questions regarding multiple interacting particles and atomic structures.