Time Development in Quantum Mechanics Using a Reduced Hilbert Space Approach
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
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Record Link
<a href="https://www.compadre.org/portal/items/detail.cfm?ID=7288">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.</a>
AIP Format
M. Belloni and W. Christian, , Am. J. Phys. 76 (4&5), 385 (2008), WWW Document, (https://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), <https://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 April 23, 2024, from https://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, https://www.compadre.org/Repository/document/ServeFile.cfm?ID=7288&DocID=458 (accessed 23 April 2024).
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 Apr. 2024 <https://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 https://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 https://www.compadre.org/Repository/document/ServeFile.cfm?ID=7288&DocID=458 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 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. This resource is stored in a shared folder. You must login to access shared folders. Time Development in Quantum Mechanics Using a Reduced Hilbert Space Approach:
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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. relation by Mario BelloniKnow of another related resource? Login to relate this resource to it. |
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