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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.
Subjects Levels Resource Types
Classical Mechanics
- Motion in Two Dimensions
= Central Forces
Mathematical Tools
- Series and Functions
= Spherical Harmonics
Quantum Physics
- Symmetries in Quantum Mechanics
= Angular Momentum
- Upper Undergraduate
- Instructional Material
= Activity
= Instructor Guide/Manual
- Tool
= Code
Intended Users Formats Ratings
- Educators
- text/html
- application/maple
- application/mathematica
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Access Rights:
Free access
License:
This material is released under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 license.
Rights Holder:
Paradigms in Physics Team
Merlot:
pending
NSF Numbers:
9653250
0231194
0618877
1023120
Paradigm ID:
cfylmcombo
Keywords:
Computer Visualization, Quantum Mechanics, Spherical Harmonics
Record Creator:
Metadata instance created June 22, 2015 by Lyle Barbato
Record Updated:
August 19, 2020 by Lyle Barbato
Last Update
when Cataloged:
August 21, 2013
Other Collections:

ComPADRE is beta testing Citation Styles!

Record Link
AIP Format
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).
AJP/PRST-PER
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>.
APA Format
Manogue, C., & Browne, K. (2013, August 21). Paradigms in Physics: Linear Combinations of Spherical Harmonics. Retrieved April 27, 2024, from Paradigms in Physics Program: http://sites.science.oregonstate.edu/physics/portfolioswiki/doku59e9.html?id=activities:main&file=cfylmcombo
Chicago Format
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 27 April 2024).
MLA Format
Manogue, Corinne, and Kerry Browne. Paradigms in Physics: Linear Combinations of Spherical Harmonics. Corvallis: Paradigms in Physics Program, 2008. 21 Aug. 2013. 27 Apr. 2024 <http://sites.science.oregonstate.edu/physics/portfolioswiki/doku59e9.html?id=activities:main&file=cfylmcombo>.
BibTeX Export Format
@misc{ Author = "Corinne Manogue and Kerry Browne", Title = {Paradigms in Physics: Linear Combinations of Spherical Harmonics}, Publisher = {Paradigms in Physics Program}, Volume = {2024}, Number = {27 April 2024}, Month = {August 21, 2013}, Year = {2008} }
Refer Export Format

%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

EndNote Export Format

%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 2024 %N 27 April 2024 %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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