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Student understanding of potential, wavefunctions and the Jacobian in hydrogen in graduate-level quantum mechanics
written by Chris D. Porter, Abigail M. Bogdan, and Andrew F. Heckler
This study examined student difficulties related to the potential in the hydrogen atom, and the corresponding ground state, with special attention paid to the role of the Jacobian. The study focused on a population of graduate students at The Ohio State University, and their ability to (1) sketch the approximate potential and radial part of the ground state wavefunction in hydrogen, and (2) their ability to relate this prerequisite knowledge to another relevant quantity: the Bohr radius. Student responses to a sequence of three questions were obtained at the beginning and end of the students' final semester of graduate quantum mechanics. Several prevalent difficulties were identified that persisted to the end of the course, including an inability to sketch the above-mentioned basic features of hydrogen, and a lack of understanding of the Bohr radius.
Physics Education Research Conference 2016
Part of the PER Conference series
Sacramento, CA: July 20-21, 2016
Pages 244-247
Subjects Levels Resource Types
Education Foundations
- Alternative Conceptions
Mathematical Tools
- Coordinate Systems
Quantum Physics
- Bound State Systems
= Hydrogen Atom
- Foundations and Measurements
= Wave Functions
- Graduate/Professional
- Reference Material
= Research study
Intended Users Formats Ratings
- Researchers
- application/pdf
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Mirror:
https://doi.org/10.1119/perc.2016…
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.2016.pr.056
NSF Number:
1420451
Keywords:
PERC 2016, Radial Wavefunction
Record Creator:
Metadata instance created November 30, 2016 by Lyle Barbato
Record Updated:
December 30, 2016 by Bruce Mason
Last Update
when Cataloged:
December 29, 2016
Other Collections:

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Record Link
AIP Format
C. Porter, A. Bogdan, and A. Heckler, , presented at the Physics Education Research Conference 2016, Sacramento, CA, 2016, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14239&DocID=4593).
AJP/PRST-PER
C. Porter, A. Bogdan, and A. Heckler, Student understanding of potential, wavefunctions and the Jacobian in hydrogen in graduate-level quantum mechanics, presented at the Physics Education Research Conference 2016, Sacramento, CA, 2016, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14239&DocID=4593>.
APA Format
Porter, C., Bogdan, A., & Heckler, A. (2016, July 20-21). Student understanding of potential, wavefunctions and the Jacobian in hydrogen in graduate-level quantum mechanics. Paper presented at Physics Education Research Conference 2016, Sacramento, CA. Retrieved April 19, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14239&DocID=4593
Chicago Format
Porter, C, A. Bogdan, and A. Heckler. "Student understanding of potential, wavefunctions and the Jacobian in hydrogen in graduate-level quantum mechanics." Paper presented at the Physics Education Research Conference 2016, Sacramento, CA, July 20-21, 2016. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14239&DocID=4593 (accessed 19 April 2024).
MLA Format
Porter, Chris D., Abigail Bogdan, and Andrew F. Heckler. "Student understanding of potential, wavefunctions and the Jacobian in hydrogen in graduate-level quantum mechanics." Physics Education Research Conference 2016. Sacramento, CA: 2016. 244-247 of PER Conference. 19 Apr. 2024 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14239&DocID=4593>.
BibTeX Export Format
@inproceedings{ Author = "Chris D. Porter and Abigail Bogdan and Andrew F. Heckler", Title = {Student understanding of potential, wavefunctions and the Jacobian in hydrogen in graduate-level quantum mechanics}, BookTitle = {Physics Education Research Conference 2016}, Pages = {244-247}, Address = {Sacramento, CA}, Series = {PER Conference}, Month = {July 20-21}, Year = {2016} }
Refer Export Format

%A Chris D. Porter %A Abigail Bogdan %A Andrew F. Heckler %T Student understanding of potential, wavefunctions and the Jacobian in hydrogen in graduate-level quantum mechanics %S PER Conference %D July 20-21 2016 %P 244-247 %C Sacramento, CA %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14239&DocID=4593 %O Physics Education Research Conference 2016 %O July 20-21 %O application/pdf

EndNote Export Format

%0 Conference Proceedings %A Porter, Chris D. %A Bogdan, Abigail %A Heckler, Andrew F. %D July 20-21 2016 %T Student understanding of potential, wavefunctions and the Jacobian in hydrogen in graduate-level quantum mechanics %B Physics Education Research Conference 2016 %C Sacramento, CA %P 244-247 %S PER Conference %8 July 20-21 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14239&DocID=4593


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