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Journal Article Detail Page

American Journal of Physics
written by Mario Belloni and Wolfgang Christian
The Time Development in Quantum Mechanics paper describes the suite of open source programs that numerically calculate and visualize the evolution of arbitrary initial quantum-mechanical bound states. The calculations are based on the expansion of an arbitrary wave function in terms of basis vectors in a reduced Hilbert space. The approach is stable, fast, and accurate at depicting the long-time dependence of complicated bound states. Several real-time visualizations, such as the position and momentum expectation values and the Wigner quasiprobability distribution for the position and momentum, can be shown. We use these computational tools to study the time-dependent properties of quantum-mechanical systems and discuss the effectiveness of the algorithm.
American Journal of Physics: Volume 76, Issue 4&5, Pages 385-392
Subjects ADS Supplements Resource Types
Education Practices
- Curriculum Development
- Technology
= Computers
General Physics
- Computational Physics
Quantum Physics
- Approximation Techniques
- Bound State Systems
- Instructional Material
= Curriculum support
= Interactive Simulation
- Reference Material
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Limited free access
Restriction:
© 2008 Mario Belloni and Wolfgang Christian
DOI:
10.1119/1.2837810
Keywords:
OSP, Open Source Physics, numerical, quantum mechanics, reduced Hilbert space, time development
Record Creator:
Metadata instance created May 29, 2008 by Mario Belloni
Record Updated:
April 17, 2009 by Anne Cox
Last Update
when Cataloged:
April 1, 2008
ComPADRE is beta testing Citation Styles!

Record Link
AIP Format
M. Belloni and W. Christian, Am. J. Phys. 76 (4&5), 385 (2008), WWW Document, (http://www.compadre.org/Repository/document/ServeFile.cfm?ID=7288&DocID=458).
AJP/PRST-PER
M. Belloni and W. Christian, Time Development in Quantum Mechanics Using a Reduced Hilbert Space Approach, Am. J. Phys. 76 (4&5), 385 (2008), <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=7288&DocID=458>.
APA Format
Belloni, M., & Christian, W. (2008, April 1). Time Development in Quantum Mechanics Using a Reduced Hilbert Space Approach. Am. J. Phys., 76(4&5), 385-392. Retrieved October 23, 2014, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=7288&DocID=458
Chicago Format
Belloni, Mario, and Wolfgang Christian. "Time Development in Quantum Mechanics Using a Reduced Hilbert Space Approach." Am. J. Phys. 76, no. 4&5, (April 1, 2008): 385-392, http://www.compadre.org/Repository/document/ServeFile.cfm?ID=7288&DocID=458 (accessed 23 October 2014).
MLA Format
Belloni, Mario, and Wolfgang Christian. "Time Development in Quantum Mechanics Using a Reduced Hilbert Space Approach." Am. J. Phys. 76.4&5 (2008): 385-392. 23 Oct. 2014 <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=7288&DocID=458>.
BibTeX Export Format
@article{ Author = "Mario Belloni and Wolfgang Christian", Title = {Time Development in Quantum Mechanics Using a Reduced Hilbert Space Approach}, Journal = {Am. J. Phys.}, Volume = {76}, Number = {4&5}, Pages = {385-392}, Month = {April}, Year = {2008} }
Refer Export Format

%A Mario Belloni
%A Wolfgang Christian
%T Time Development in Quantum Mechanics Using a Reduced Hilbert Space Approach
%J Am. J. Phys.
%V 76
%N 4&5
%D April 1, 2008
%P 385-392
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=7288&DocID=458
%O application/pdf

EndNote Export Format

%0 Journal Article
%A Belloni, Mario
%A Christian, Wolfgang
%D April 1, 2008
%T Time Development in Quantum Mechanics Using a Reduced Hilbert Space Approach
%J Am. J. Phys.
%V 76
%N 4&5
%P 385-392
%8 April 1, 2008
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=7288&DocID=458


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Time Development in Quantum Mechanics Using a Reduced Hilbert Space Approach:

Covers the Same Topic As Numerical Time Development in Quantum Mechanics Using a Reduced Hilbert Space Approach

The American Journal of Physics article on Time Development in Quantum Mechanics Using a Reduced Hilbert Space Approach is the basis for this Launcher package. The package is an interactive version of the materials found in the AJP paper as well as additional curricular material.

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