The first of a three-part adventure into the Hydrogen Atom. I'm uploading these in three parts, so that I can include your feedback in the videos as we go along. Sort of like in a lecture when they stop and ask "Does anyone have any questions?". So please let me know if you have questions! :)

Part 2 will solve the Schrodinger equation, deriving the energy eigenstates and eigenvalues. Then we'll look at the hydrogen spectrum and see how these ideas make contact with experiment.

Part 3 will go beyond Schrodinger, exploring how the Dirac equation relates to hydrogen and provides a natural explanation for spin (and a nice prediction of antimatter, too), and then we'll look at the Lamb shift and talk briefly about quantum electrodynamics.

Chapters:
0:00 Intro
1:34 Why doesn't the electron fall in?
3:20 Proton is Massive and Tiny
4:20 Spherical Coordinate System
5:24 Defining psi, rho, and hbar
6:53 But what do the electron do? (Schrodinger Eq.)
9:37 Eigenstuff
11:45 Constructing the Hamiltonian
16:18 Setting up the 3D P.D.E. for psi

#physics #quantum #math