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written by Gina Passante and Antje Kohnle
Time dependence is of fundamental importance for the description of quantum systems, but is particularly difficult for students to master. We describe the development and evaluation of a combined simulation-tutorial to support the development of visual understanding of time dependence in quantum mechanics. The associated interactive simulation shows the time dependence of an energy eigenstate and a superposition state, and how the time dependence of the probability density arises from that of the wave function. In order to assess transitions in student thinking, we developed a framework to characterize student responses in terms of real and complex mathematical reasoning and classical and quantum visual reasoning. The results of pre-, mid-, and post-tests indicate that the simulation-tutorial supports the development of visual understanding of time dependence, and that visual reasoning is correlated with improved student performance on a question relating to the time evolution of the wave function and the probability density. The results also indicate that the analogy of a classical standing wave for the infinite well energy eigenfunctions may be problematic in cueing incorrect ideas of time dependence.
Physical Review Physics Education Research: Volume 15, Issue 1, Pages 010110
Subjects ADS Supplements Resource Types
Education - Applied Research
- Instructional Material Design
= Simulation
= Tutorial
- Technology
= Multimedia
General Physics
- Physics Education Research
Quantum Physics
- Foundations and Measurements
= Time Dependence
= Wave Functions
- Reference Material
= Article
= Research study
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- PER Literature
- Educators
- Researchers
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This material is released under a Creative Commons Attribution 3.0 license.
Rights Holder:
American Physical Society
DOI:
10.1103/PhysRevPhysEducRes.15.010110
Record Creator:
Metadata instance created March 28, 2019 by Bruce Mason
Record Updated:
May 11, 2021 by Bruce Mason
Last Update
when Cataloged:
February 13, 2019
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Record Link
AIP Format
G. Passante and A. Kohnle, Phys. Rev. Phys. Educ. Res. 15 (1), 010110 (2019), WWW Document, (https://doi.org/10.1103/PhysRevPhysEducRes.15.010110).
AJP/PRST-PER
G. Passante and A. Kohnle, Enhancing student visual understanding of the time evolution of quantum systems, Phys. Rev. Phys. Educ. Res. 15 (1), 010110 (2019), <https://doi.org/10.1103/PhysRevPhysEducRes.15.010110>.
APA Format
Passante, G., & Kohnle, A. (2019, February 13). Enhancing student visual understanding of the time evolution of quantum systems. Phys. Rev. Phys. Educ. Res., 15(1), 010110. Retrieved September 19, 2021, from https://doi.org/10.1103/PhysRevPhysEducRes.15.010110
Chicago Format
Passante, Gina, and Antje Kohnle. "Enhancing student visual understanding of the time evolution of quantum systems." Phys. Rev. Phys. Educ. Res. 15, no. 1, (February 13, 2019): 010110, https://doi.org/10.1103/PhysRevPhysEducRes.15.010110 (accessed 19 September 2021).
MLA Format
Passante, Gina, and Antje Kohnle. "Enhancing student visual understanding of the time evolution of quantum systems." Phys. Rev. Phys. Educ. Res. 15.1 (2019): 010110. 19 Sep. 2021 <https://doi.org/10.1103/PhysRevPhysEducRes.15.010110>.
BibTeX Export Format
@article{ Author = "Gina Passante and Antje Kohnle", Title = {Enhancing student visual understanding of the time evolution of quantum systems}, Journal = {Phys. Rev. Phys. Educ. Res.}, Volume = {15}, Number = {1}, Pages = {010110}, Month = {February}, Year = {2019} }
Refer Export Format

%A Gina Passante %A Antje Kohnle %T Enhancing student visual understanding of the time evolution of quantum systems %J Phys. Rev. Phys. Educ. Res. %V 15 %N 1 %D February 13, 2019 %P 010110 %U https://doi.org/10.1103/PhysRevPhysEducRes.15.010110 %O application/pdf

EndNote Export Format

%0 Journal Article %A Passante, Gina %A Kohnle, Antje %D February 13, 2019 %T Enhancing student visual understanding of the time evolution of quantum systems %J Phys. Rev. Phys. Educ. Res. %V 15 %N 1 %P 010110 %8 February 13, 2019 %U https://doi.org/10.1103/PhysRevPhysEducRes.15.010110


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