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Representations for a spins-first approach to quantum mechanics
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
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Record Link
<a href="https://www.per-central.org/items/detail.cfm?ID=11811">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.</a>
AIP Format
C. Manogue, E. Gire, D. McIntyre, and J. Tate, , presented at the Physics Education Research Conference 2011, Omaha, Nebraska, 2011, WWW Document, (https://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, <https://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 October 4, 2024, from https://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. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11811&DocID=2661 (accessed 4 October 2024).
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. 4 Oct. 2024 <https://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 https://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 https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11811&DocID=2661 Disclaimer: ComPADRE offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure. Please refer to the style manuals in the Citation Source Information area for clarifications.
Citation Source Information
The AIP Style presented is based on information from the AIP Style Manual. The AJP/PRST-PER presented is based on the AIP Style with the addition of journal article titles and conference proceeding article titles. The APA Style presented is based on information from APA Style.org: Electronic References. The Chicago Style presented is based on information from Examples of Chicago-Style Documentation. The MLA Style presented is based on information from the MLA FAQ. Representations for a spins-first approach to quantum mechanics:Know of another related resource? Login to relate this resource to it. |
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