By mes on Skatehive
[](https://3speak.tv/watch?v=mes/a058e2ca) ▶️ Watch on 3Speak - Telegram - YouTube - Summary - Hive Notes - Sections playlist - MES Links In this video, I graph out the real spherical harmonics using the amazing Desmos graphing calculator via a project someone made. I do a quick breakdown of the formulas they used, noting the added normalization constants, and how it matches up with our derived formulas from solving Laplace's equation in spherical coordinates. I also show what effects tinkering with the principal, orbital angular momentum, and magnetic quantum numbers has on the resulting 3D figures! #math #sphericalharmonics #calculus #quantumphysics #desmos Timestamps Real Spherical Harmonics in Desmos graphing calculator: https://www.desmos.com/calculator/nsfrepxacm – 0:00 Radial distance is stretched proportionally to the magnitude of its value on the sphere – 3:53 Principle magnetic number sets the maximum orbital angular momentum, which then sets the +/- limits of the magnetic qu