Calculating spherical harmonics without derivatives

• Published in: Condensed Matter Physics
• Date: 2018
• Main Authors: Weitzman, M., Freericks, J.K.
• Format: Article
• Language: English
• Published: Інститут фізики конденсованих систем НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157084
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Calculating spherical harmonics without derivatives / M. Weitzman, J.K. Freericks // Condensed Matter Physics. — 2018. — Т. 21, № 3. — С. 33002: 1–12. — Бібліогр.: 21 назв. — англ.

The derivation of spherical harmonics is the same in nearly every quantum mechanics textbook and classroom. It is found to be difficult to follow, hard to understand, and challenging to reproduce by most students. In this work, we show how one can determine spherical harmonics in a more natural...