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Conceptual Challenges of Discretizing Wave Functions: A Case Study
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
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![]() <a href="https://www.per-central.org/items/detail.cfm?ID=16604">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.</a>
![]() 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).
![]() 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>.
![]() 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
![]() 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).
![]() 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>.
![]() @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}
}
![]() %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 ![]() %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 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.
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