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written by
Benjamin P. Schermerhorn, Giaco Corsiglia, Homeyra R. Sadaghiani, Gina Passante, and Steven J. Pollock
We conducted a multiyear project across three institutions to develop an instructional tutorial that supports student understanding of change of basis in quantum mechanics. Building from our previous work, we identified learning goals to guide activity development. The tutorial makes an analogy between spin-1/2 states and a Cartesian coordinate system. This paper details the iterative development process including reports of observations from classroom implementations and the resulting modifications to the activity. Further, we report preliminary findings on the success of the activity in improving students' ability to correctly change basis and their articulation that change of basis is a choice of representation, not a change to the physical system.
Physical Review Physics Education Research: Volume 18, Issue 1, Pages 010145
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<a href="https://www.per-central.org/items/detail.cfm?ID=16090">Schermerhorn, B, G. Corsiglia, H. Sadaghiani, G. Passante, and S. Pollock. "From Cartesian coordinates to Hilbert space: Supporting student understanding of basis in quantum mechanics." Phys. Rev. Phys. Educ. Res. 18, no. 1, (June 8, 2022): 010145.</a>
AIP Format
B. Schermerhorn, G. Corsiglia, H. Sadaghiani, G. Passante, and S. Pollock, , Phys. Rev. Phys. Educ. Res. 18 (1), 010145 (2022), WWW Document, (https://doi.org/10.1103/PhysRevPhysEducRes.18.010145).
AJP/PRST-PER
B. Schermerhorn, G. Corsiglia, H. Sadaghiani, G. Passante, and S. Pollock, From Cartesian coordinates to Hilbert space: Supporting student understanding of basis in quantum mechanics, Phys. Rev. Phys. Educ. Res. 18 (1), 010145 (2022), <https://doi.org/10.1103/PhysRevPhysEducRes.18.010145>.
APA Format
Schermerhorn, B., Corsiglia, G., Sadaghiani, H., Passante, G., & Pollock, S. (2022, June 8). From Cartesian coordinates to Hilbert space: Supporting student understanding of basis in quantum mechanics. Phys. Rev. Phys. Educ. Res., 18(1), 010145. Retrieved December 5, 2024, from https://doi.org/10.1103/PhysRevPhysEducRes.18.010145
Chicago Format
Schermerhorn, B, G. Corsiglia, H. Sadaghiani, G. Passante, and S. Pollock. "From Cartesian coordinates to Hilbert space: Supporting student understanding of basis in quantum mechanics." Phys. Rev. Phys. Educ. Res. 18, no. 1, (June 8, 2022): 010145, https://doi.org/10.1103/PhysRevPhysEducRes.18.010145 (accessed 5 December 2024).
MLA Format
Schermerhorn, Benjamin P., Giaco Corsiglia, Homeyra Sadaghiani, Gina Passante, and Steven Pollock. "From Cartesian coordinates to Hilbert space: Supporting student understanding of basis in quantum mechanics." Phys. Rev. Phys. Educ. Res. 18.1 (2022): 010145. 5 Dec. 2024 <https://doi.org/10.1103/PhysRevPhysEducRes.18.010145>.
BibTeX Export Format
@article{
Author = "Benjamin P. Schermerhorn and Giaco Corsiglia and Homeyra Sadaghiani and Gina Passante and Steven Pollock",
Title = {From Cartesian coordinates to Hilbert space: Supporting student understanding of basis in quantum mechanics},
Journal = {Phys. Rev. Phys. Educ. Res.},
Volume = {18},
Number = {1},
Pages = {010145},
Month = {June},
Year = {2022}
}
Refer Export Format
%A Benjamin P. Schermerhorn %A Giaco Corsiglia %A Homeyra Sadaghiani %A Gina Passante %A Steven Pollock %T From Cartesian coordinates to Hilbert space: Supporting student understanding of basis in quantum mechanics %J Phys. Rev. Phys. Educ. Res. %V 18 %N 1 %D June 8, 2022 %P 010145 %U https://doi.org/10.1103/PhysRevPhysEducRes.18.010145 %O application/pdf
EndNote Export Format
%0 Journal Article %A Schermerhorn, Benjamin P. %A Corsiglia, Giaco %A Sadaghiani, Homeyra %A Passante, Gina %A Pollock, Steven %D June 8, 2022 %T From Cartesian coordinates to Hilbert space: Supporting student understanding of basis in quantum mechanics %J Phys. Rev. Phys. Educ. Res. %V 18 %N 1 %P 010145 %8 June 8, 2022 %U https://doi.org/10.1103/PhysRevPhysEducRes.18.010145 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.
Citation Source Information
The AIP Style presented is based on information from the AIP Style Manual. The AJP/PRST-PER presented is based on the AIP Style with the addition of journal article titles and conference proceeding article titles. The APA Style presented is based on information from APA Style.org: Electronic References. The Chicago Style presented is based on information from Examples of Chicago-Style Documentation. The MLA Style presented is based on information from the MLA FAQ. From Cartesian coordinates to Hilbert space: Supporting student understanding of basis in quantum mechanics:
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Exploring student ideas on change of basis in quantum mechanics
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