Examining student ideas about energy measurements on quantum states across undergraduate and graduate levels

[This paper is part of the Focused Collection on Upper Division Physics Courses.] Energy measurements play a fundamental role in the theory of quantum mechanics, yet there is evidence that the underlying concepts are difficult for many students, even after all undergraduate instruction. We present r...

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Autores principales:	Gina Passante, Paul J. Emigh, Peter S. Shaffer
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2015
Materias:	Special aspects of education LC8-6691 Physics QC1-999
Acceso en línea:	https://doaj.org/article/3fda0439f7774eab8609e4fb97a708fe
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spelling	oai:doaj.org-article:3fda0439f7774eab8609e4fb97a708fe2021-12-02T11:12:35ZExamining student ideas about energy measurements on quantum states across undergraduate and graduate levels10.1103/PhysRevSTPER.11.0201111554-9178https://doaj.org/article/3fda0439f7774eab8609e4fb97a708fe2015-09-01T00:00:00Zhttp://doi.org/10.1103/PhysRevSTPER.11.020111http://doi.org/10.1103/PhysRevSTPER.11.020111https://doaj.org/toc/1554-9178[This paper is part of the Focused Collection on Upper Division Physics Courses.] Energy measurements play a fundamental role in the theory of quantum mechanics, yet there is evidence that the underlying concepts are difficult for many students, even after all undergraduate instruction. We present results from an investigation into student ability to determine the possible energies that can be measured for a given wave function and Hamiltonian, to determine the probabilities of each energy measurement and how they depend on time, and to recognize how a measurement of energy affects the state. By analyzing student responses to open-ended questions, we identify five broad, interrelated sets of conceptual and reasoning difficulties related to energy measurements. Data are drawn from sophomore-, junior-, and graduate-level quantum mechanics courses. Particular attention is paid to incorrect ideas that persist across all levels.Gina PassantePaul J. EmighPeter S. ShafferAmerican Physical SocietyarticleSpecial aspects of educationLC8-6691PhysicsQC1-999ENPhysical Review Special Topics. Physics Education Research, Vol 11, Iss 2, p 020111 (2015)
institution	DOAJ
collection	DOAJ
language	EN
topic	Special aspects of education LC8-6691 Physics QC1-999
spellingShingle	Special aspects of education LC8-6691 Physics QC1-999 Gina Passante Paul J. Emigh Peter S. Shaffer Examining student ideas about energy measurements on quantum states across undergraduate and graduate levels
description	[This paper is part of the Focused Collection on Upper Division Physics Courses.] Energy measurements play a fundamental role in the theory of quantum mechanics, yet there is evidence that the underlying concepts are difficult for many students, even after all undergraduate instruction. We present results from an investigation into student ability to determine the possible energies that can be measured for a given wave function and Hamiltonian, to determine the probabilities of each energy measurement and how they depend on time, and to recognize how a measurement of energy affects the state. By analyzing student responses to open-ended questions, we identify five broad, interrelated sets of conceptual and reasoning difficulties related to energy measurements. Data are drawn from sophomore-, junior-, and graduate-level quantum mechanics courses. Particular attention is paid to incorrect ideas that persist across all levels.
format	article
author	Gina Passante Paul J. Emigh Peter S. Shaffer
author_facet	Gina Passante Paul J. Emigh Peter S. Shaffer
author_sort	Gina Passante
title	Examining student ideas about energy measurements on quantum states across undergraduate and graduate levels
title_short	Examining student ideas about energy measurements on quantum states across undergraduate and graduate levels
title_full	Examining student ideas about energy measurements on quantum states across undergraduate and graduate levels
title_fullStr	Examining student ideas about energy measurements on quantum states across undergraduate and graduate levels
title_full_unstemmed	Examining student ideas about energy measurements on quantum states across undergraduate and graduate levels
title_sort	examining student ideas about energy measurements on quantum states across undergraduate and graduate levels
publisher	American Physical Society
publishDate	2015
url	https://doaj.org/article/3fda0439f7774eab8609e4fb97a708fe
work_keys_str_mv	AT ginapassante examiningstudentideasaboutenergymeasurementsonquantumstatesacrossundergraduateandgraduatelevels AT pauljemigh examiningstudentideasaboutenergymeasurementsonquantumstatesacrossundergraduateandgraduatelevels AT petersshaffer examiningstudentideasaboutenergymeasurementsonquantumstatesacrossundergraduateandgraduatelevels
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Examining student ideas about energy measurements on quantum states across undergraduate and graduate levels

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