Graphing Real Spherical Harmonics in Desmos Calculator

https://3speak.tv/watch?v=mes/a058e2ca 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 quantum number – 5:30 Graphs of real spherical harmonics for various quantum numbers – 7:14 Graphing in Desmos – 8:19 Notes and playlists: Hive: Summary: https://inleo.io/threads/view/mes/re-leothreads-exowfp4p Notes: https://peakd.com/hive-128780/@mes/220d6572 Sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FHh2kZzebadnPFwO6Yi5qu . Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: [email protected] Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps