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written by Corinne A. Manogue and Kerry P. Browne
published by the Paradigms in Physics Program
This small group activity is designed to help upper division undergraduate students learn how to expand functions in terms of spherical harmonics. Students work in small groups to find the coefficients of a given function expanded in spherical harmonics. The whole class wrap-up discussion includes group presentations focusing on the notion that any function on the unit sphere can be expanded in terms of the orthonormal set of spherical harmonics.

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
- Bound State Systems
= Hydrogen Atom
- Symmetries in Quantum Mechanics
= Angular Momentum
- Upper Undergraduate
- Instructional Material
= Activity
= Instructor Guide/Manual
Intended Users Formats Ratings
- Educators
- text/html
- application/pdf
- application/tex
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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:
cfylmseries
Keywords:
Quantum Mechanics, Rigid Rotor, Small Group Activity, Spherical Harmonics
Record Creator:
Metadata instance created June 22, 2015 by Lyle Barbato
Record Updated:
June 22, 2015 by Bruce Mason
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://www.physics.oregonstate.edu/portfolioswiki/acts:cfylmseries).
AJP/PRST-PER
C. Manogue and K. Browne, Paradigms in Physics: Finding the Coefficients of a Spherical Harmonic Series, (Paradigms in Physics Program, Corvallis, 2008), <http://www.physics.oregonstate.edu/portfolioswiki/acts:cfylmseries>.
APA Format
Manogue, C., & Browne, K. (2013, August 21). Paradigms in Physics: Finding the Coefficients of a Spherical Harmonic Series. Retrieved December 13, 2017, from Paradigms in Physics Program: http://www.physics.oregonstate.edu/portfolioswiki/acts:cfylmseries
Chicago Format
Manogue, Corinne, and Kerry Browne. Paradigms in Physics: Finding the Coefficients of a Spherical Harmonic Series. Corvallis: Paradigms in Physics Program, August 21, 2013. http://www.physics.oregonstate.edu/portfolioswiki/acts:cfylmseries (accessed 13 December 2017).
MLA Format
Manogue, Corinne, and Kerry Browne. Paradigms in Physics: Finding the Coefficients of a Spherical Harmonic Series. Corvallis: Paradigms in Physics Program, 2008. 21 Aug. 2013. 13 Dec. 2017 <http://www.physics.oregonstate.edu/portfolioswiki/acts:cfylmseries>.
BibTeX Export Format
@misc{ Author = "Corinne Manogue and Kerry Browne", Title = {Paradigms in Physics: Finding the Coefficients of a Spherical Harmonic Series}, Publisher = {Paradigms in Physics Program}, Volume = {2017}, Number = {13 December 2017}, Month = {August 21, 2013}, Year = {2008} }
Refer Export Format

%A Corinne Manogue
%A Kerry Browne
%T Paradigms in Physics: Finding the Coefficients of a Spherical Harmonic Series
%D August 21, 2013
%I Paradigms in Physics Program
%C Corvallis
%U http://www.physics.oregonstate.edu/portfolioswiki/acts:cfylmseries
%O text/html

EndNote Export Format

%0 Electronic Source
%A Manogue, Corinne
%A Browne, Kerry
%D August 21, 2013
%T Paradigms in Physics: Finding the Coefficients of a Spherical Harmonic Series
%I Paradigms in Physics Program
%V 2017
%N 13 December 2017
%8 August 21, 2013
%9 text/html
%U http://www.physics.oregonstate.edu/portfolioswiki/acts:cfylmseries


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The AIP Style presented is based on information from the AIP Style Manual.

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