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Investigating Student Difficulties with Dirac Notation
written by Chandralekha Singh and Emily Marshman
Quantum mechanics is challenging even for advanced undergraduate and graduate students. Dirac notation is a convenient notation used extensively in quantum mechanics. We have been investigating the difficulties that the advanced undergraduate and graduate students have with Dirac notation. We administered written free response and multiple-choice questions to students and also conducted semi-structured individual interviews with 23 students using a think-aloud protocol to obtain a better understanding of the rationale behind their responses. We find that many students struggle with Dirac notation and they are not consistent in using this notation across various questions in a given test. In particular, whether they answer questions involving Dirac notation correctly or not is context dependent.
Physics Education Research Conference 2013
Part of the PER Conference series
Portland, OR: July 17-18, 2013
Pages 345-348
Subjects Levels Resource Types
Education Foundations
- Alternative Conceptions
- Assessment
= Conceptual Assessment
- Student Characteristics
= Skills
Mathematical Tools
- Linear Algebra and Tensors
= Eigenvalues and Eigenvectors
Quantum Physics
- Foundations and Measurements
= Hilbert Space
- Graduate/Professional
- Reference Material
= Research study
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Mirror:
https://doi.org/10.1119/perc.2013…
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.2013.pr.074
NSF Numbers:
0968891
1202909
PACSs:
01.40Fk
01.40.gb
01.40.G-
Keywords:
Dirac notation, PERC 2013, quantum mechanics
Record Cloner:
Metadata instance created January 31, 2014 by Lyle Barbato
Record Updated:
November 21, 2015 by Bruce Mason
Last Update
when Cataloged:
December 16, 2013
Other Collections:

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Record Link
AIP Format
C. Singh and E. Marshman, , presented at the Physics Education Research Conference 2013, Portland, OR, 2013, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13149&DocID=3696).
AJP/PRST-PER
C. Singh and E. Marshman, Investigating Student Difficulties with Dirac Notation, presented at the Physics Education Research Conference 2013, Portland, OR, 2013, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13149&DocID=3696>.
APA Format
Singh, C., & Marshman, E. (2013, July 17-18). Investigating Student Difficulties with Dirac Notation. Paper presented at Physics Education Research Conference 2013, Portland, OR. Retrieved April 24, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13149&DocID=3696
Chicago Format
Singh, Chandralekha, and Emily Marshman. "Investigating Student Difficulties with Dirac Notation." Paper presented at the Physics Education Research Conference 2013, Portland, OR, July 17-18, 2013. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13149&DocID=3696 (accessed 24 April 2024).
MLA Format
Singh, Chandralekha, and Emily Marshman. "Investigating Student Difficulties with Dirac Notation." Physics Education Research Conference 2013. Portland, OR: 2013. 345-348 of PER Conference. 24 Apr. 2024 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13149&DocID=3696>.
BibTeX Export Format
@inproceedings{ Author = "Chandralekha Singh and Emily Marshman", Title = {Investigating Student Difficulties with Dirac Notation}, BookTitle = {Physics Education Research Conference 2013}, Pages = {345-348}, Address = {Portland, OR}, Series = {PER Conference}, Month = {July 17-18}, Year = {2013} }
Refer Export Format

%A Chandralekha Singh %A Emily Marshman %T Investigating Student Difficulties with Dirac Notation %S PER Conference %D July 17-18 2013 %P 345-348 %C Portland, OR %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13149&DocID=3696 %O Physics Education Research Conference 2013 %O July 17-18 %O application/pdf

EndNote Export Format

%0 Conference Proceedings %A Singh, Chandralekha %A Marshman, Emily %D July 17-18 2013 %T Investigating Student Difficulties with Dirac Notation %B Physics Education Research Conference 2013 %C Portland, OR %P 345-348 %S PER Conference %8 July 17-18 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13149&DocID=3696


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