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written by Emily Marshman and Chandralekha Singh
Quantum mechanics is challenging even for advanced undergraduate and graduate students. In the Schrödinger representation, the wave function evolves in time according to the time dependent Schrödinger equation. The time dependence of the wave function gives rise to time dependence of the expectation value of observables. We have been exploring the difficulties that advanced undergraduate and graduate students have with time dependence of expectation values in quantum mechanics. We have developed and administered conceptual free response and multiple-choice questions to students to investigate these difficulties. We also interviewed 23 students individually using a think-aloud protocol to obtain a better understanding of the rationale behind students' written responses. We find that many students struggle with time dependence of expectation values of observables. We discuss some findings.
Physics Education Research Conference 2013
Part of the PER Conference series
Portland, OR: July 17-18, 2013
Pages 245-248
Subjects Levels Resource Types
Education - Basic Research
- Alternative Conceptions
- Assessment
= Conceptual Assessment
Quantum Physics
- Foundations and Measurements
= Hermitian Operators
= Time Dependence
= Wave Functions
- Graduate/Professional
- Reference Material
= Research study
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Format:
application/pdf
Mirror:
http://dx.doi.org/10.1119/perc.20…
Access Rights:
Free access
License:
This material is released under a Creative Commons Attribution 3.0 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.2013.pr.049
NSF Numbers:
0968891
1202909
PACSs:
01.40.Fk
01.40.gb
01.40.G-
Keywords:
PERC 2013, expectation value, physics education research, quantum measurement, quantum mechanics
Record Cloner:
Metadata instance created January 31, 2014 by Lyle Barbato
Record Updated:
February 1, 2014 by Bruce Mason
Last Update
when Cataloged:
December 16, 2013
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Record Link
AIP Format
E. Marshman and C. Singh, presented at the Physics Education Research Conference 2013, Portland, OR, 2013, WWW Document, (http://www.compadre.org/Repository/document/ServeFile.cfm?ID=13167&DocID=3714).
AJP/PRST-PER
E. Marshman and C. Singh, Investigating Student Difficulties with Time dependence of Expectation Values in Quantum Mechanics, presented at the Physics Education Research Conference 2013, Portland, OR, 2013, <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=13167&DocID=3714>.
APA Format
Marshman, E., & Singh, C. (2013, July 17-18). Investigating Student Difficulties with Time dependence of Expectation Values in Quantum Mechanics. Paper presented at Physics Education Research Conference 2013, Portland, OR. Retrieved October 24, 2014, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=13167&DocID=3714
Chicago Format
Marshman, Emily, and Chandralekha Singh. "Investigating Student Difficulties with Time dependence of Expectation Values in Quantum Mechanics." Paper presented at the Physics Education Research Conference 2013, Portland, OR, July 17-18, 2013. http://www.compadre.org/Repository/document/ServeFile.cfm?ID=13167&DocID=3714 (accessed 24 October 2014).
MLA Format
Marshman, Emily, and Chandralekha Singh. "Investigating Student Difficulties with Time dependence of Expectation Values in Quantum Mechanics." Physics Education Research Conference 2013. Portland, OR: 2013. 245-248 of PER Conference. 24 Oct. 2014 <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=13167&DocID=3714>.
BibTeX Export Format
@inproceedings{ Author = "Emily Marshman and Chandralekha Singh", Title = {Investigating Student Difficulties with Time dependence of Expectation Values in Quantum Mechanics}, BookTitle = {Physics Education Research Conference 2013}, Pages = {245-248}, Address = {Portland, OR}, Series = {PER Conference}, Month = {July 17-18}, Year = {2013} }
Refer Export Format

%A Emily Marshman
%A Chandralekha Singh
%T Investigating Student Difficulties with Time dependence of Expectation Values in Quantum Mechanics
%S PER Conference
%D July 17-18 2013
%P 245-248
%C Portland, OR
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=13167&DocID=3714
%O Physics Education Research Conference 2013
%O July 17-18
%O application/pdf

EndNote Export Format

%0 Conference Proceedings
%A Marshman, Emily
%A Singh, Chandralekha
%D July 17-18 2013
%T Investigating Student Difficulties with Time dependence of Expectation Values in Quantum Mechanics
%B Physics Education Research Conference 2013
%C Portland, OR
%P 245-248
%S PER Conference
%8 July 17-18
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=13167&DocID=3714


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