We describe a collection of interactive animations and visualizations for teaching quantum mechanics. The animations can be used at all levels of the undergraduate curriculum. Each animation includes a step-by-step exploration that explains the key points. The animations and instructor resources are freely available. By using a diagnostic survey, we report substantial learning gains for students who have worked with the animations.
REFERENCES
1.
Daniel F.
Styer
, “Common misconceptions regarding quantum mechanics
,” Am. J. Phys.
64
(1
), 31
–34
(1996
).2.
I. D.
Johnston
, K.
Crawford
, and P. R.
Fletcher
, “Student difficulties in learning quantum mechanics
,” Int. J. Sci. Educ.
20
(4
), 427
–446
(1998
).3.
S.
Vokos
, Peter S.
Shaffer
, Bradley S.
Ambrose
, and Lillian C.
McDermott
, “Student understanding of the wave nature of matter: Diffraction and interference of particles
,” Am. J. Phys.
68
(S1
), 42
–51
(2000
).4.
G.
Ireson
, “The quantum understanding of pre-university physics students
,” Phys. Educ.
35
(1
), 15
–21
(2000
).5.
C.
Singh
, “Student understanding of quantum mechanics
,” Am. J. Phys.
69
(8
), 885
–896
(2001
).6.
M.
Wittmann
, R.
Steinberg
, and E.
Redish
, “Investigating student understanding of quantum physics: Spontaneous models of conductivity
,” Am. J. Phys.
70
(3
), 218
–226
(2002
).7.
L.
Bao
and E. F.
Redish
, “Understanding probabilistic interpretations of physical systems: A prerequisite to learning quantum physics
,” Am. J. Phys.
70
(3
), 210
–217
(2002
).8.
D.
Domert
, C.
Linder
, and A.
Ingerman
, “Probability as a conceptual hurdle to understanding one-dimensional quantum scattering and tunnelling
,” Eur. J. Phys.
26
, 47
–59
(2005
).9.
M. C.
Wittmann
, J. T.
Morgan
, and L.
Bao
, “Addressing student models of energy loss in quantum tunnelling
,” Eur. J. Phys.
26
(6
), 939
–950
(2005
).10.
S. B.
McKagan
, K. K.
Perkins
, and C. E.
Wieman
, “Deeper look at student learning of quantum mechanics: The case of tunneling
,” Phys. Rev. ST Phys. Educ. Res.
4
(2
), 020103
(2008
).11.
A.
Mason
and C.
Singh
, “Do advanced physics students learn from their mistakes without explicit intervention?
,” Am. J. Phys.
78
(7
), 760
–767
(2010
).12.
E.
Cataloglu
and R. W.
Robinett
, “Testing the development of student conceptual and visualization understanding in quantum mechanics through the undergraduate career
,” Am. J. Phys.
70
(3
), 238
–251
(2002
).13.
The QMVI is available at <robinett.phys.psu.edu/qm/INSTRUCTORS/instructors.htm>.
14.
C.
Singh
, “Student understanding of quantum mechanics at the beginning of graduate instruction
,” Am. J. Phys.
76
(3
), 277
–287
(2008
).15.
S.
Wuttiprom
, M. D.
Sharma
, Ian D.
Johnston
, R.
Chitaree
, and C.
Soankwan
, “Development and use of a conceptual survey in introductory quantum physics
,” Int. J. Sci. Educ.
31
(5
), 631
–654
(2009
).16.
S. B.
McKagan
, K. K.
Perkins
, and C. E.
Wieman
, “Design and validation of the quantum mechanics conceptual survey
,” Phys. Rev. ST Phys. Educ. Res.
6
(2
), 020121
(2010
).17.
A. P.
French
and E. F.
Taylor
, “Qualitative plots of bound state wave functions
,” Am. J. Phys.
39
(8
), 961
–962
(1971
).18.
P.
Jolly
, D.
Zollman
, S.
Rebello
, and A.
Dimitrova
, “Visualizing potential energy diagrams
,” Am. J. Phys.
66
(1
), 57
–63
(1998
).19.
Richard N.
Steinberg
, Graham E.
Oberem
, and Lillian C.
McDermott
, “Development of a computer-based tutorial on the photoelectric effect
,” Am. J. Phys.
64
(11
), 1370
–1379
(1996
).20.
C.
Singh
, “Interactive learning tutorials on quantum mechanics
,” Am. J. Phys.
76
(4
), 400
–405
(2008
).21.
L. D.
Carr
and S. B.
McKagan
, “Graduate quantum mechanics reform
,” Am. J. Phys.
77
(4
), 308
–319
(2009
).22.
L.
Deslauriers
and C.
Wieman
, “Learning and retention of quantum concepts with different teaching methods
,” Phys. Rev. ST Phys. Educ. Res.
7
(1
), 010101
(2011
).23.
T.
Stelzer
, G.
Gladding
, Jose P.
Mestre
, and David T.
Brookes
, “Comparing the efficacy of multimedia modules with traditional textbooks for learning introductory physics content
,” Am. J. Phys.
77
(2
), 184
–190
(2009
).24.
Zhongzhou Chen,
T.
Stelzer
, and G.
Gladding
, “Using multimedia modules to better prepare students for introductory physics lecture
,” Phys. Rev. ST Phys. Educ. Res.
6
(1
) 010108
(2010
).25.
A.
Goldberg
, H. M.
Schey
, and J. L.
Schwartz
, “Computer-generated motion pictures of one-dimensional quantum-mechanical transmission and reflection phenomena
,” Am. J. Phys.
35
(3
), 177
–186
(1967
).26.
D.
Schroeder
and T.
Moore
, “A computer-simulated Stern-Gerlach laboratory
,” Am. J. Phys.
61
(9
), 798
–805
(1993
).27.
J. R.
Hiller
, I. D.
Johnston
, and D. F.
Styer
, Quantum Mechanics Simulations
(John Wiley & Sons
, New York
, 1995
).28.
B.
Thaller
, Visual Quantum Mechanics: Selected Topics With Computer-Generated Animations of Quantum-Mechanical Phenomena
(Springer
, New York
2000
).29.
D.
Zollman
, S.
Rebello
, and K.
Hogg
, “Quantum physics for everyone: Hands-on activities integrated with technology
,” Am. J. Phys.
70
(3
), 252
–259
(2002
). See also <web.phys.ksu.edu/vqm/>.30.
N. D.
Finkelstein
, W. K.
Adams
, C. J.
Keller
, P. B.
Kohl
, K. K.
Perkins
, N. S.
Podolefsky
, S.
Reid
, and R.
LeMaster
, “When learning about the real world is better done virtually: A study of substituting computer simulations for laboratory equipment
,” Phys. Rev. ST Phys. Educ. Res.
1
(1
), 010103
(2005
).31.
M.
Belloni
, W.
Christian
, and A. J.
Cox
, Physlet Quantum Physics: An Interactive Introduction
(Pearson Prentice Hall
, Upper Saddle River, NJ
, 2006
).32.
C.
Singh
, M.
Belloni
, and W.
Christian
, “Improving student’s understanding of quantum mechanics
,” Phys. Today
59
(8
), 43
–49
(2006
).33.
C. E.
Wieman
, K. K.
Perkins
, and W. K.
Adams
, “Oersted medal lecture 2007: Interactive simulations for teaching physics: What works, what doesn’t and why
,” Am. J. Phys.
76
(4
), 393
–399
(2008
).34.
S. B.
McKagan
, K. K.
Perkins
, M.
Dubson
, C.
Malley
, S.
Reid
, R.
LeMaster
, and C. E.
Wieman
, “Developing and researching PhET simulations for teaching quantum mechanics
,” Am. J. Phys.
76
(4
), 406
–417
(2008
). See also <phet.colorado.edu>.35.
See, for example, <www.compadre.org>.
36.
G.
Zhu
and C.
Singh
, “Improving students’ understanding of quantum mechanics via the Stern–Gerlach experiment
,” Am. J. Phys.
79
(5
), 499
–507
(2011
).37.
A.
Kohnle
, M.
Douglass
, Tom J.
Edwards
, Alastair D.
Gillies
, Christopher A.
Hooley
, and Bruce D.
Sinclair
, “Developing and evaluating animations for teaching quantum mechanics concepts
,” Eur. J. Phys.
31
(6
), 1441
–1455
(2010
).40.
W. K.
Adams
, S.
Reid
, R.
LeMaster
, S. B.
McKagan
, K. K.
Perkins
, M.
Dubson
, and C. E.
Wieman
, “A study of educational simulations. Part I—engagement and learning
,” J. Interact. Learn. Res.
19
(3
), 397
–419
(2008
).41.
W. K.
Adams
, S.
Reid
, R.
LeMaster
, S. B.
McKagan
, K. K.
Perkins
, M.
Dubson
, and C. E.
Wieman
, “A study of educational simulations. Part II—interface design
,” J. Interact. Learn. Res.
, 19
(4
), 551
–577
(2008
).42.
N. S.
Podolefsky
, K. K.
Perkins
, and W. K.
Adams
, “Factors promoting engaged exploration with computer simulations
,” Phys. Rev. ST Phys. Educ. Res.
, 6
(2
), 020117
(2010
).© 2012 American Association of Physics Teachers.
2012
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