The Hydrogen Atom, Part 2 of 3: Solving the Schrodinger Equation

In this video, we explore the solutions of the Schrodinger equation for the hydrogen atom. Thank you to everyone who is continuing on this thrilling adventure into the smallest atom in the universe! For those of you who want to see even more of the mathematical details, here's a wonderful paper on the topic, which I highly recommend: https://faculty.washington.edu/seattle/physics227/reading/reading-26-27.pdf More info on the spherical harmonics: https://mathworld.wolfram.com/SphericalHarmonic.html Table of spherical harmonics: https://en.wikipedia.org/wiki/Table_of_spherical_harmonics Chapters: 0:00 Intro 1:01 Spherical Harmonics 15:01 Radial Functions 20:04 Energy Eigenstates and Eigenvalues 22:02 Absorption/Emission Spectrum 26:49 Solving the S.E. 44:15 Concluding Remarks #physics #quantum #math