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Investigating Student Understanding of Perturbation Theory and the Inner Products of Functions
written by
Gina Passante, Paul J. Emigh, Tong Wan, and Peter S. Shaffer
We have investigated the extent to which students can qualitatively determine the effect of perturbations to a Hamiltonian on the energies of the eigenfunctions. The results indicate that after lecture instruction many students cannot determine some important features of the first-order correction. We examine the possibility that this failure may stem from a lack of understanding of the inner product. Since perturbations are often represented graphically, the focus has been on student ability to determine the inner product of functions represented graphically. In the process, we have found that some students are unable to find inner products even in contexts outside of quantum mechanics.
Physics Education Research Conference 2015
Part of the PER Conference series College Park, MD: July 29-30, 2015 Pages 247-250
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Record Link
<a href="https://www.compadre.org/portal/items/detail.cfm?ID=13883">Passante, G, P. Emigh, T. Wan, and P. Shaffer. "Investigating Student Understanding of Perturbation Theory and the Inner Products of Functions." Paper presented at the Physics Education Research Conference 2015, College Park, MD, July 29-30, 2015.</a>
AIP Format
G. Passante, P. Emigh, T. Wan, and P. Shaffer, , presented at the Physics Education Research Conference 2015, College Park, MD, 2015, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13883&DocID=4301).
AJP/PRST-PER
G. Passante, P. Emigh, T. Wan, and P. Shaffer, Investigating Student Understanding of Perturbation Theory and the Inner Products of Functions, presented at the Physics Education Research Conference 2015, College Park, MD, 2015, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13883&DocID=4301>.
APA Format
Passante, G., Emigh, P., Wan, T., & Shaffer, P. (2015, July 29-30). Investigating Student Understanding of Perturbation Theory and the Inner Products of Functions. Paper presented at Physics Education Research Conference 2015, College Park, MD. Retrieved April 19, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13883&DocID=4301
Chicago Format
Passante, G, P. Emigh, T. Wan, and P. Shaffer. "Investigating Student Understanding of Perturbation Theory and the Inner Products of Functions." Paper presented at the Physics Education Research Conference 2015, College Park, MD, July 29-30, 2015. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13883&DocID=4301 (accessed 19 April 2024).
MLA Format
Passante, Gina, Paul Emigh, Tong Wan, and Peter Shaffer. "Investigating Student Understanding of Perturbation Theory and the Inner Products of Functions." Physics Education Research Conference 2015. College Park, MD: 2015. 247-250 of PER Conference. 19 Apr. 2024 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13883&DocID=4301>.
BibTeX Export Format
@inproceedings{
Author = "Gina Passante and Paul Emigh and Tong Wan and Peter Shaffer",
Title = {Investigating Student Understanding of Perturbation Theory and the Inner Products of Functions},
BookTitle = {Physics Education Research Conference 2015},
Pages = {247-250},
Address = {College Park, MD},
Series = {PER Conference},
Month = {July 29-30},
Year = {2015}
}
Refer Export Format
%A Gina Passante %A Paul Emigh %A Tong Wan %A Peter Shaffer %T Investigating Student Understanding of Perturbation Theory and the Inner Products of Functions %S PER Conference %D July 29-30 2015 %P 247-250 %C College Park, MD %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13883&DocID=4301 %O Physics Education Research Conference 2015 %O July 29-30 %O application/pdf
EndNote Export Format
%0 Conference Proceedings %A Passante, Gina %A Emigh, Paul %A Wan, Tong %A Shaffer, Peter %D July 29-30 2015 %T Investigating Student Understanding of Perturbation Theory and the Inner Products of Functions %B Physics Education Research Conference 2015 %C College Park, MD %P 247-250 %S PER Conference %8 July 29-30 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13883&DocID=4301 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 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. Investigating Student Understanding of Perturbation Theory and the Inner Products of Functions:Know of another related resource? Login to relate this resource to it. |
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