Student ability to distinguish between superposition states and mixed states in quantum mechanics

Superposition gives rise to the probabilistic nature of quantum mechanics and is therefore one of the concepts at the heart of quantum mechanics. Although we have found that many students can successfully use the idea of superposition to calculate the probabilities of different measurement outcomes,...

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Autores principales: Gina Passante, Paul J. Emigh, Peter S. Shaffer
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Lenguaje:EN
Publicado: American Physical Society 2015
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Acceso en línea:https://doaj.org/article/bab3bf05f9df41fca6cf3ea34f8a1fc3
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spelling oai:doaj.org-article:bab3bf05f9df41fca6cf3ea34f8a1fc32021-12-02T11:12:18ZStudent ability to distinguish between superposition states and mixed states in quantum mechanics10.1103/PhysRevSTPER.11.0201351554-9178https://doaj.org/article/bab3bf05f9df41fca6cf3ea34f8a1fc32015-11-01T00:00:00Zhttp://doi.org/10.1103/PhysRevSTPER.11.020135http://doi.org/10.1103/PhysRevSTPER.11.020135https://doaj.org/toc/1554-9178Superposition gives rise to the probabilistic nature of quantum mechanics and is therefore one of the concepts at the heart of quantum mechanics. Although we have found that many students can successfully use the idea of superposition to calculate the probabilities of different measurement outcomes, they are often unable to identify the experimental implications of a superposition state. In particular, they fail to recognize how a superposition state and a mixed state (sometimes called a “lack of knowledge” state) can produce different experimental results. We present data that suggest that superposition in quantum mechanics is a difficult concept for students enrolled in sophomore-, junior-, and graduate-level quantum mechanics courses. We illustrate how an interactive lecture tutorial can improve student understanding of quantum mechanical superposition. A longitudinal study suggests that the impact persists after an additional quarter of quantum mechanics instruction that does not specifically address these ideas.Gina PassantePaul J. EmighPeter S. ShafferAmerican Physical SocietyarticleSpecial aspects of educationLC8-6691PhysicsQC1-999ENPhysical Review Special Topics. Physics Education Research, Vol 11, Iss 2, p 020135 (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
Student ability to distinguish between superposition states and mixed states in quantum mechanics
description Superposition gives rise to the probabilistic nature of quantum mechanics and is therefore one of the concepts at the heart of quantum mechanics. Although we have found that many students can successfully use the idea of superposition to calculate the probabilities of different measurement outcomes, they are often unable to identify the experimental implications of a superposition state. In particular, they fail to recognize how a superposition state and a mixed state (sometimes called a “lack of knowledge” state) can produce different experimental results. We present data that suggest that superposition in quantum mechanics is a difficult concept for students enrolled in sophomore-, junior-, and graduate-level quantum mechanics courses. We illustrate how an interactive lecture tutorial can improve student understanding of quantum mechanical superposition. A longitudinal study suggests that the impact persists after an additional quarter of quantum mechanics instruction that does not specifically address these ideas.
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 Student ability to distinguish between superposition states and mixed states in quantum mechanics
title_short Student ability to distinguish between superposition states and mixed states in quantum mechanics
title_full Student ability to distinguish between superposition states and mixed states in quantum mechanics
title_fullStr Student ability to distinguish between superposition states and mixed states in quantum mechanics
title_full_unstemmed Student ability to distinguish between superposition states and mixed states in quantum mechanics
title_sort student ability to distinguish between superposition states and mixed states in quantum mechanics
publisher American Physical Society
publishDate 2015
url https://doaj.org/article/bab3bf05f9df41fca6cf3ea34f8a1fc3
work_keys_str_mv AT ginapassante studentabilitytodistinguishbetweensuperpositionstatesandmixedstatesinquantummechanics
AT pauljemigh studentabilitytodistinguishbetweensuperpositionstatesandmixedstatesinquantummechanics
AT petersshaffer studentabilitytodistinguishbetweensuperpositionstatesandmixedstatesinquantummechanics
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