Angular Schrödinger Equation: Spherical Harmonics and Legendre Functions

This lecture covers the angular Schrödinger equation for the hydrogen atom, focusing on the solutions along the z-axis and the associated Legendre functions. It delves into the angular momentum of the electron, spherical harmonics, and the determination of the projection quantum number. The lecture also explores the radial and angular parts of the wave functions, emphasizing the importance of the quantum numbers in defining the electron's state and energy levels.