written by
Corinne A. Manogue and Kerry P. Browne
published by
the Paradigms in Physics Program
This computer visualization activity is designed to help upper division undergraduate students visualize linear combinations of spherical harmonics. Students use a Maple worksheet or Mathematica notebook to visualize various representations of probability densities of linear combinations of spherical harmonics. The entire class wrap-up discussion addresses how to represent linear combinations of spherical harmonics in a variety of ways.
This material is part of the Paradigms in Physics project at Oregon State University. This work promotes the use of active student learning in upper division physics courses. Both learning materials and learning strategies are provided to help both students and instructors.
<a href="https://www.compadre.org/quantum/items/detail.cfm?ID=13597">Manogue, Corinne, and Kerry Browne. Paradigms in Physics: Linear Combinations of Spherical Harmonics. Corvallis: Paradigms in Physics Program, August 21, 2013.</a>
C. Manogue and K. Browne, (Paradigms in Physics Program, Corvallis, 2008), WWW Document, (http://sites.science.oregonstate.edu/physics/portfolioswiki/doku59e9.html?id=activities:main&file=cfylmcombo).
C. Manogue and K. Browne, Paradigms in Physics: Linear Combinations of Spherical Harmonics (Paradigms in Physics Program, Corvallis, 2008), <http://sites.science.oregonstate.edu/physics/portfolioswiki/doku59e9.html?id=activities:main&file=cfylmcombo>.
Manogue, C., & Browne, K. (2013, August 21). Paradigms in Physics: Linear Combinations of Spherical Harmonics. Retrieved March 26, 2025, from Paradigms in Physics Program: http://sites.science.oregonstate.edu/physics/portfolioswiki/doku59e9.html?id=activities:main&file=cfylmcombo
Manogue, Corinne, and Kerry Browne. Paradigms in Physics: Linear Combinations of Spherical Harmonics. Corvallis: Paradigms in Physics Program, August 21, 2013. http://sites.science.oregonstate.edu/physics/portfolioswiki/doku59e9.html?id=activities:main&file=cfylmcombo (accessed 26 March 2025).
Manogue, Corinne, and Kerry Browne. Paradigms in Physics: Linear Combinations of Spherical Harmonics. Corvallis: Paradigms in Physics Program, 2008. 21 Aug. 2013. 26 Mar. 2025 <http://sites.science.oregonstate.edu/physics/portfolioswiki/doku59e9.html?id=activities:main&file=cfylmcombo>.
@misc{
Author = "Corinne Manogue and Kerry Browne",
Title = {Paradigms in Physics: Linear Combinations of Spherical Harmonics},
Publisher = {Paradigms in Physics Program},
Volume = {2025},
Number = {26 March 2025},
Month = {August 21, 2013},
Year = {2008}
}
%A Corinne Manogue %A Kerry Browne %T Paradigms in Physics: Linear Combinations of Spherical Harmonics %D August 21, 2013 %I Paradigms in Physics Program %C Corvallis %U http://sites.science.oregonstate.edu/physics/portfolioswiki/doku59e9.html?id=activities:main&file=cfylmcombo %O text/html
%0 Electronic Source %A Manogue, Corinne %A Browne, Kerry %D August 21, 2013 %T Paradigms in Physics: Linear Combinations of Spherical Harmonics %I Paradigms in Physics Program %V 2025 %N 26 March 2025 %8 August 21, 2013 %9 text/html %U http://sites.science.oregonstate.edu/physics/portfolioswiki/doku59e9.html?id=activities:main&file=cfylmcombo
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