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Student difficulties with representations of quantum operators corresponding to observables
written by Emily Marshman and Chandralekha Singh
Dirac notation is used commonly in quantum mechanics. However, many upper-level undergraduate and graduate students in physics have difficulties with representations of quantum operators corresponding to observables especially when using Dirac notation. To investigate these difficulties, we administered free-response and multiple-choice questions and conducted individual interviews with students in advanced quantum mechanics courses. We discuss the analysis of data on the common difficulties found.
Physics Education Research Conference 2016
Part of the PER Conference series
Sacramento, CA: July 20-21, 2016
Pages 216-219
Subjects Levels Resource Types
Education Foundations
- Alternative Conceptions
Mathematical Tools
- Linear Algebra and Tensors
= Eigenvalues and Eigenvectors
Quantum Physics
- Foundations and Measurements
= Hilbert Space
- Upper Undergraduate
- Graduate/Professional
- Reference Material
= Research study
Intended Users Formats Ratings
- Researchers
- Educators
- application/pdf
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Mirror:
http://dx.doi.org/10.1119/perc.20…
Access Rights:
Free access
License:
This material is released under a Creative Commons Attribution 3.0 license. Further distribution of this work must maintain attribution to the published article's author(s), title, proceedings citation, and DOI.
Rights Holder:
American Association of Physics Teachers
DOI:
10.1119/perc.2016.pr.049
NSF Number:
1505460
Keyword:
PERC 2016
Record Creator:
Metadata instance created November 30, 2016 by Lyle Barbato
Record Updated:
December 30, 2016 by Bruce Mason
Last Update
when Cataloged:
December 29, 2016
Other Collections:

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Record Link
AIP Format
E. Marshman and C. Singh, presented at the Physics Education Research Conference 2016, Sacramento, CA, 2016, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14232&DocID=4586).
AJP/PRST-PER
E. Marshman and C. Singh, Student difficulties with representations of quantum operators corresponding to observables, presented at the Physics Education Research Conference 2016, Sacramento, CA, 2016, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14232&DocID=4586>.
APA Format
Marshman, E., & Singh, C. (2016, July 20-21). Student difficulties with representations of quantum operators corresponding to observables. Paper presented at Physics Education Research Conference 2016, Sacramento, CA. Retrieved December 14, 2017, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14232&DocID=4586
Chicago Format
Marshman, Emily, and Chandralekha Singh. "Student difficulties with representations of quantum operators corresponding to observables." Paper presented at the Physics Education Research Conference 2016, Sacramento, CA, July 20-21, 2016. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14232&DocID=4586 (accessed 14 December 2017).
MLA Format
Marshman, Emily, and Chandralekha Singh. "Student difficulties with representations of quantum operators corresponding to observables." Physics Education Research Conference 2016. Sacramento, CA: 2016. 216-219 of PER Conference. 14 Dec. 2017 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14232&DocID=4586>.
BibTeX Export Format
@inproceedings{ Author = "Emily Marshman and Chandralekha Singh", Title = {Student difficulties with representations of quantum operators corresponding to observables}, BookTitle = {Physics Education Research Conference 2016}, Pages = {216-219}, Address = {Sacramento, CA}, Series = {PER Conference}, Month = {July 20-21}, Year = {2016} }
Refer Export Format

%A Emily Marshman
%A Chandralekha Singh
%T Student difficulties with representations of quantum operators corresponding to observables
%S PER Conference
%D July 20-21 2016
%P 216-219
%C Sacramento, CA
%U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14232&DocID=4586
%O Physics Education Research Conference 2016
%O July 20-21
%O application/pdf

EndNote Export Format

%0 Conference Proceedings
%A Marshman, Emily
%A Singh, Chandralekha
%D July 20-21 2016
%T Student difficulties with representations of quantum operators corresponding to observables
%B Physics Education Research Conference 2016
%C Sacramento, CA
%P 216-219
%S PER Conference
%8 July 20-21
%U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14232&DocID=4586


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