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Conceptual Challenges of Discretizing Wave Functions: A Case Study
written by Christian D. Solorio and Elizabeth Gire
To understand the conceptual challenges of discretization that students face, we present an instrumental case study of one student. This student took a junior-level quantum mechanics course and the accompanying computational lab course in the Winter 2021 term. The following year, she became an undergraduate teaching assistant for the computational lab course. Using a video elicitation interview, the participant reviewed a video clip of herself and a partner working on a kinetic energy operator computational activity. During the interview, she reflected on her understanding of discretization and identified two challenges associated with it: recognizing functions as column vectors and interpreting δx. These challenges were productive for students in considering the nuances of discretization.
Physics Education Research Conference 2023
Part of the PER Conference series
Sacramento, CA: July 19-20, 2023
Pages 326-331
Subjects Levels Resource Types
Education - Basic Research
- Alternative Conceptions
- Assessment
= Conceptual Assessment
- Cognition
= Cognition Development
Quantum Physics
- Foundations and Measurements
= Wave Functions
- Upper Undergraduate
- Reference Material
= Research study
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Format:
application/pdf
Mirror:
https://doi.org/10.1119/perc.2023…
Access Rights:
Free access
License:
This material is released under a Creative Commons Attribution 4.0 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.2023.pr.Solorio
NSF Numbers:
1836604
1836603
Keyword:
PERC 2023
Record Creator:
Metadata instance created September 20, 2023 by Lyle Barbato
Record Updated:
October 8, 2023 by Lyle Barbato
Last Update
when Cataloged:
October 15, 2023
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AIP Format
C. Solorio and E. Gire, , presented at the Physics Education Research Conference 2023, Sacramento, CA, 2023, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16604&DocID=5784).
AJP/PRST-PER
C. Solorio and E. Gire, Conceptual Challenges of Discretizing Wave Functions: A Case Study, presented at the Physics Education Research Conference 2023, Sacramento, CA, 2023, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16604&DocID=5784>.
APA Format
Solorio, C., & Gire, E. (2023, July 19-20). Conceptual Challenges of Discretizing Wave Functions: A Case Study. Paper presented at Physics Education Research Conference 2023, Sacramento, CA. Retrieved June 16, 2025, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16604&DocID=5784
Chicago Format
Solorio, Christian D., and Elizabeth Gire. "Conceptual Challenges of Discretizing Wave Functions: A Case Study." Paper presented at the Physics Education Research Conference 2023, Sacramento, CA, July 19-20, 2023. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16604&DocID=5784 (accessed 16 June 2025).
MLA Format
Solorio, Christian D., and Elizabeth Gire. "Conceptual Challenges of Discretizing Wave Functions: A Case Study." Physics Education Research Conference 2023. Sacramento, CA: 2023. 326-331 of PER Conference. 16 June 2025 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16604&DocID=5784>.
BibTeX Export Format
@inproceedings{ Author = "Christian D. Solorio and Elizabeth Gire", Title = {Conceptual Challenges of Discretizing Wave Functions: A Case Study}, BookTitle = {Physics Education Research Conference 2023}, Pages = {326-331}, Address = {Sacramento, CA}, Series = {PER Conference}, Month = {July 19-20}, Year = {2023} }
Refer Export Format

%A Christian D. Solorio %A Elizabeth Gire %T Conceptual Challenges of Discretizing Wave Functions: A Case Study %S PER Conference %D July 19-20 2023 %P 326-331 %C Sacramento, CA %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16604&DocID=5784 %O Physics Education Research Conference 2023 %O July 19-20 %O application/pdf

EndNote Export Format

%0 Conference Proceedings %A Solorio, Christian D. %A Gire, Elizabeth %D July 19-20 2023 %T Conceptual Challenges of Discretizing Wave Functions: A Case Study %B Physics Education Research Conference 2023 %C Sacramento, CA %P 326-331 %S PER Conference %8 July 19-20 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16604&DocID=5784


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