Electronic Structure of Atoms: Wave Functions and Quantum Numbers

This lecture delves into the mathematical details of the electronic structure of atoms, focusing on the wave functions of the hydrogen atom, separation of variables, and relations between Cartesian and spherical coordinates. It explores the radial wave functions, probability distributions, and energy levels, shedding light on the quantum numbers and orbital shapes. The lecture also covers the angular wave functions, spherical harmonics, and the projection of angular momentum, providing insights into the behavior of electrons in different orbitals.