Uploaded April 2026 | Updated September 2026, 3 weeks ago
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: 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: 3speak.tv/watch?v=mes/a058e2ca
- Summary: inleo.io/threads/view/mes/re-leothreads-exowfp4p
- Notes: peakd.com/hive-128780/@mes/220d6572
- Sections playlist: youtube.com/playlist?list=PLai3U8-WIK0FHh2kZzebadnPFwO6Yi5qu .
------------------------------------------------------
Become a MES Super Fan! 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: peakd.com/@mes
Email me: contact@mes.fm
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
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: 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: 3speak.tv/watch?v=mes/a058e2ca
- Summary: inleo.io/threads/view/mes/re-leothreads-exowfp4p
- Notes: peakd.com/hive-128780/@mes/220d6572
- Sections playlist: youtube.com/playlist?list=PLai3U8-WIK0FHh2kZzebadnPFwO6Yi5qu .
------------------------------------------------------
Become a MES Super Fan! 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: peakd.com/@mes
Email me: contact@mes.fm
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
