Lecture · MIT
Schrödinger equation for hydrogen
MIT OpenCourseWare · Barton Zwiebach
Barton Zwiebach sets up hydrogen's Schrödinger equation at the board in a 21-minute segment of MIT's 8.04. Keep section 1's picture in hand as he works: a radial part in r times an angular part in θ and φ, and look for where each quantum number will come from.