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Helping students learn to count the number of many-particle states with a fixed number of single-particle states for a system of identical particles
written by
Christof Keebaugh,
Emily Marshman, and
Chandralekha Singh
We discuss an investigation of student difficulties with determining the number of distinct many-particle stationary states for a system of non-interacting identical particles. Here we focus on a system in which there are a fixed number of available single-particle states and a fixed number of particles but the total energy of the system is not fixed. The investigation was carried out in advanced quantum mechanics courses by administering free-response and multiple-choice questions and conducting individual interviews with students. We find that upperlevel undergraduate and graduate students share many common difficulties related to these concepts. Many students struggled to determine the number of distinct many-particle stationary states and make connections between the number of distinct many-particle stationary states and the number of many-particle stationary state wavefunctions possible with the given constraints. Additionally, we found that many students had difficulty with mathematical sense-making in the context of quantum mechanics.
Physics Education Research Conference 2018
Part of the PER Conference series Washington, DC: August 1-2, 2018
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Record Link
<a href="http://www.per-central.org/items/detail.cfm?ID=14806">Keebaugh, C, E. Marshman, and C. Singh. "Helping students learn to count the number of many-particle states with a fixed number of single-particle states for a system of identical particles." Paper presented at the Physics Education Research Conference 2018, Washington, DC, August 1-2, 2018.</a>
AIP Format
C. Keebaugh, E. Marshman, and C. Singh, presented at the Physics Education Research Conference 2018, Washington, DC, 2018, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14806&DocID=4953).
AJP/PRST-PER
C. Keebaugh, E. Marshman, and C. Singh, Helping students learn to count the number of many-particle states with a fixed number of single-particle states for a system of identical particles, presented at the Physics Education Research Conference 2018, Washington, DC, 2018, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14806&DocID=4953>.
APA Format
Keebaugh, C., Marshman, E., & Singh, C. (2018, August 1-2). Helping students learn to count the number of many-particle states with a fixed number of single-particle states for a system of identical particles. Paper presented at Physics Education Research Conference 2018, Washington, DC. Retrieved January 19, 2019, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14806&DocID=4953
Chicago Format
Keebaugh, C, E. Marshman, and C. Singh. "Helping students learn to count the number of many-particle states with a fixed number of single-particle states for a system of identical particles." Paper presented at the Physics Education Research Conference 2018, Washington, DC, August 1-2, 2018. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14806&DocID=4953 (accessed 19 January 2019).
MLA Format
Keebaugh, Christof, Emily Marshman, and Chandralekha Singh. "Helping students learn to count the number of many-particle states with a fixed number of single-particle states for a system of identical particles." Physics Education Research Conference 2018. Washington, DC: 2018. of PER Conference. 19 Jan. 2019 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14806&DocID=4953>.
BibTeX Export Format
@inproceedings{
Author = "Christof Keebaugh and Emily Marshman and Chandralekha Singh",
Title = {Helping students learn to count the number of many-particle states with a fixed number of single-particle states for a system of identical particles},
BookTitle = {Physics Education Research Conference 2018},
Address = {Washington, DC},
Series = {PER Conference},
Month = {August 1-2},
Year = {2018}
}
Refer Export Format
%A Christof Keebaugh
EndNote Export Format
%0 Conference Proceedings 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. Helping students learn to count the number of many-particle states with a fixed number of single-particle states for a system of identical particles:Know of another related resource? Login to relate this resource to it. |
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