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written by Corinne A. Manogue, Elizabeth Gire, David McIntyre, and Janet Tate
In the Paradigms in Physics Curriculum at Oregon State University, we take a spins-first approach to quantum mechanics using a java simulation of successive Stern-Gerlach experiments to explore the postulates. The experimental schematic is a diagrammatic representation that we use throughout our discussion of quantum measurements. With a spins-first approach, it is natural to start with Dirac bra-ket language for states, observables, and projection operators. We also use explicit matrix representations of operators and ask students to translate between the Dirac and matrix languages. The projection of the state onto a basis is represented with a histogram. When we subsequently introduce wave functions, the wave function attains a natural interpretation as the continuous limit of these discrete histograms or a projection of a Dirac ket onto position or momentum eigenstates. We are able to test the students' facility with moving between these representations in later modules.
Physics Education Research Conference 2011
Part of the PER Conference Invited Paper series
Omaha, Nebraska: August 3-4, 2011
Volume 1413, Pages 55-58
Subjects ADS Supplements Resource Types
Education - Applied Research
- Curriculum Development
= Course
Education - Basic Research
- Problem Solving
= Representational Use
Quantum Physics
- Probability, Waves, and Interference
- Spin and Finite Dimensional Systems
- Reference Material
= Article
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Formats:
application/pdf
non-digital
Mirror:
http://dx.doi.org/10.1063/1.3679992
Access Rights:
Free access and
Available for purchase
A preprint of the work is available. A hard copy of the PERC 2011 proceedings is available for purchase from the AIP.
Restriction:
© 2011 American Institute of Physics
DOI:
10.1063/1.3679992
NSF Number:
0618877
PACSs:
01.40.Fk
03.65.Xp
Keywords:
Dirac Bra-Ket Notation, Multiple Representations, PERC 2011, Quantum Mechanics, Stern-Gerlach, Upper-Division
Record Cloner:
Metadata instance created April 23, 2012 by Lyle Barbato
Record Updated:
May 15, 2012 by Vince Kuo
Last Update
when Cataloged:
February 6, 2012
ComPADRE is beta testing Citation Styles!

Record Link
AIP Format
C. Manogue, E. Gire, D. McIntyre, and J. Tate, presented at the Physics Education Research Conference 2011, Omaha, Nebraska, 2011, WWW Document, (http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11811&DocID=2661).
AJP/PRST-PER
C. Manogue, E. Gire, D. McIntyre, and J. Tate, Representations for a spins-first approach to quantum mechanics, presented at the Physics Education Research Conference 2011, Omaha, Nebraska, 2011, <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11811&DocID=2661>.
APA Format
Manogue, C., Gire, E., McIntyre, D., & Tate, J. (2011, August 3-4). Representations for a spins-first approach to quantum mechanics. Paper presented at Physics Education Research Conference 2011, Omaha, Nebraska. Retrieved December 18, 2014, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11811&DocID=2661
Chicago Format
Manogue, C, E. Gire, D. McIntyre, and J. Tate. "Representations for a spins-first approach to quantum mechanics." Paper presented at the Physics Education Research Conference 2011, Omaha, Nebraska, August 3-4, 2011. http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11811&DocID=2661 (accessed 18 December 2014).
MLA Format
Manogue, Corinne, Elizabeth Gire, David McIntyre, and Janet Tate. "Representations for a spins-first approach to quantum mechanics." Physics Education Research Conference 2011. Omaha, Nebraska: 2011. 55-58 Vol. 1413 of PER Conference Invited Paper. 18 Dec. 2014 <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11811&DocID=2661>.
BibTeX Export Format
@inproceedings{ Author = "Corinne Manogue and Elizabeth Gire and David McIntyre and Janet Tate", Title = {Representations for a spins-first approach to quantum mechanics}, BookTitle = {Physics Education Research Conference 2011}, Pages = {55-58}, Address = {Omaha, Nebraska}, Series = {PER Conference Invited Paper}, Volume = {1413}, Month = {August 3-4}, Year = {2011} }
Refer Export Format

%A Corinne Manogue
%A Elizabeth Gire
%A David McIntyre
%A Janet Tate
%T Representations for a spins-first approach to quantum mechanics
%S PER Conference Invited Paper
%V 1413
%D August 3-4 2011
%P 55-58
%C Omaha, Nebraska
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11811&DocID=2661
%O Physics Education Research Conference 2011
%O August 3-4
%O application/pdf

EndNote Export Format

%0 Conference Proceedings
%A Manogue, Corinne
%A Gire, Elizabeth
%A McIntyre, David
%A Tate, Janet
%D August 3-4 2011
%T Representations for a spins-first approach to quantum mechanics
%B Physics Education Research Conference 2011
%C Omaha, Nebraska
%V 1413
%P 55-58
%S PER Conference Invited Paper
%8 August 3-4
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11811&DocID=2661


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