To check out the physics courses that I mentioned (many of which are free!) and to support this channel, go to https://brilliant.org/Sabine/ and create your Brilliant account. The first 200 will get 20% off the annual premium subscription. Correction to what I say at 7 mins 20 seconds: These are the figures for m plus/minus 2, not (as I say) for m plus/minus 1. What's in the figure legend is correct. The reference I mention at 6 mins 23 seconds is here: https://arxiv.org/abs/1504.05580 https://journals.aps.org/prd/abstract/10.1103/PhysRevD.91.125028 In this video I explain how one calculates energy levels of electrons in orbits around atomic nuclei and why it doesn't really make sense to call them orbits. The images shown are actual solutions of the Schrödinger equation with a Coulomb potential. The periodic table in the background at 0 mins 55 secs into the video is a free wallpaper you can download here: https://sciencenotes.org/neon-rainbow-periodic-table-wallpaper/ Support me on Patreon: https://www.patreon.com/Sabine #physics #education #science 0:00 Intro and Motivation 1:02 How the Calculation Works 3:05 Properties of the Solutions 7:39 Current Research 10:31 Sponsor Message