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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
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Record Link
<a href="https://www.per-central.org/items/detail.cfm?ID=14239">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.</a>
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 December 6, 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 6 December 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. 6 Dec. 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 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. Student understanding of potential, wavefunctions and the Jacobian in hydrogen in graduate-level quantum mechanics:Know of another related resource? Login to relate this resource to it. |
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