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Numerical Time Development in Quantum Mechanics Using a Reduced Hilbert Space Approach
written by Mario Belloni and Wolfgang Christian
This self-contained file contains Open Source Physics programs for the teaching of time evolution and visualization of quantum-mechanical bound states. The suite of programs is based on the ability to expand an arbitrary wave function in terms of basis vectors in a reduced Hilbert space (the superposition principle). One can choose from several real-time visualizations, such as the position and momentum expectation values and the Wigner quasi-probability distribution for position and momentum. We describe how these tools can be used to study the long-term time-dependent properties of quantum-mechanical systems.

The materials and text of this resource appeared in an article of the same name in the Theme Double-Issue on Computation and Computer-based Instruction in the American Journal of Physics [Am. J. Phys. 76, No. 4&5, pp. 385-392 (2008)].

Please note that this resource requires at least version 1.5 of Java.
Subjects Levels Resource Types
Quantum Physics
- Approximation Techniques
- Bound State Systems
- General
- Upper Undergraduate
- Graduate/Professional
- Collection
- Instructional Material
= Activity
= Interactive Simulation
= Lecture/Presentation
= Tutorial
Intended Users Formats Ratings
- Learners
- Educators
- Professional/Practitioners
- Researchers
- application/java
- text/html
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Additional Information
This resource was featured by the Quantum Exchange collection from April 13, 2008 until June 30, 2008. View the feature here!


Access Rights:
Free access
Restriction:
© 2008 Mario Belloni and Wolfgang Christian
Additional information is available.
PACSs:
01.50.hv
03.65.-w
07.05.Tp
Keywords:
American Journal of Physics, Hilbert space, Java program, OSP, Open Source Physics, Wigner function, energy eigenstates, harmonic oscillator, infinite square well, quantum mechanics, superposition, wave packets
Record Creator:
Metadata instance created February 7, 2008 by Mario Belloni
Record Updated:
July 14, 2008 by Mario Belloni
Last Update
when Cataloged:
February 5, 2008
Other Collections:

ComPADRE is beta testing Citation Styles!

Record Link
AIP Format
M. Belloni and W. Christian, , Version 1.0 (2008), WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=6475&DocID=273).
AJP/PRST-PER
M. Belloni and W. Christian, Numerical Time Development in Quantum Mechanics Using a Reduced Hilbert Space Approach, Version 1.0 (2008), <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=6475&DocID=273>.
APA Format
Belloni, M., & Christian, W. (2008, February 5). Numerical Time Development in Quantum Mechanics Using a Reduced Hilbert Space Approach. Retrieved December 3, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=6475&DocID=273
Chicago Format
Belloni, Mario, and Wolfgang Christian. Numerical Time Development in Quantum Mechanics Using a Reduced Hilbert Space Approach. February 5, 2008. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=6475&DocID=273 (accessed 3 December 2024).
MLA Format
Belloni, Mario, and Wolfgang Christian. Numerical Time Development in Quantum Mechanics Using a Reduced Hilbert Space Approach. Vers. 1.0. 2008. 5 Feb. 2008. 3 Dec. 2024 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=6475&DocID=273>.
BibTeX Export Format
@misc{ Author = "Mario Belloni and Wolfgang Christian", Title = {Numerical Time Development in Quantum Mechanics Using a Reduced Hilbert Space Approach}, Volume = {2024}, Number = {3 December 2024}, Month = {February 5, 2008}, Year = {2008} }
Refer Export Format

%A Mario Belloni %A Wolfgang Christian %T Numerical Time Development in Quantum Mechanics Using a Reduced Hilbert Space Approach %D February 5, 2008 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=6475&DocID=273 %O 1.0 %O application/java

EndNote Export Format

%0 Electronic Source %A Belloni, Mario %A Christian, Wolfgang %D February 5, 2008 %T Numerical Time Development in Quantum Mechanics Using a Reduced Hilbert Space Approach %V 2024 %N 3 December 2024 %7 1.0 %8 February 5, 2008 %9 application/java %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=6475&DocID=273


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The AIP Style presented is based on information from the AIP Style Manual.

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

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

The Numerical Time Development in Quantum Mechanics Using a Reduced Hilbert Space Approach Package contains a collection of OSP programs for the study quantum-mechanical concepts.  This article describes the OSP-based programs and shows how OSP-based materials can be used to study quantum-mechanical concepts.

relation by Mario Belloni
Contains QM Superposition Program

The Numerical Time Development in Quantum Mechanics Using a Reduced Hilbert Space Approach Package contains curricular materials for the teaching of quantum mechanics using the QM Superposition Program.

relation by Mario Belloni
Contains QM Wigner Program

The Numerical Time Development in Quantum Mechanics Using a Reduced Hilbert Space Approach Package contains curricular materials for the teaching of quantum mechanics using the QM Wigner Program.

relation by Mario Belloni
Contains QM Projection Program

The Numerical Time Development in Quantum Mechanics Using a Reduced Hilbert Space Approach Package contains curricular materials for the teaching of quantum mechanics using the QM Projection Program.

relation by Mario Belloni

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