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Eigenstate Superposition Model
written by
Wolfgang Christian
The Eigenstate Superposition model illustrates the fundamental building blocks of one-dimensional quantum mechanics, the energy eigenfunctions ψn(x) and energy eigenvalues En. The user enters the expansion coefficients into a table and the simulation uses the superposition principle to construct and display a time-dependent wave function using either infinite square well (ISW) or simple harmonic oscillator (SHO) eigenfunctions.
The Eigenstate Superposition model was created using the Easy Java Simulations (EJS) modeling tool. It is distributed as a ready-to-run (compiled) Java archive. Double clicking the ejs_qm_Superposition.jar file will run the program if Java is installed. Please note that this resource requires at least version 1.5 of Java (JRE).
Zeeman Effect
Author: MuckrakerW M There are applets or even software that simulates the Zeeman Effect but I cannot find anything at all at this particular website which uses Ejs to create physics applets for use by scientists primarily illustrating Zeeman's effect. Anyone know why this is so?
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Eigenstate Superposition Simulation
Author: MuckrakerW M The ejs simulator certainly helps you to get a better understanding of how to compute the eigenfunctions and their corresponding eigenvalues. But this is done when you normalize the wave function, which, in order to be normalized must be square integrable and finite. Then you can observe depending on quantum number n the various energy eigenfunctions and values in the 1-d infinite square well as they oscillate at different wavelengths and amplitudes you can set again depending on your bounds, i.e. -a < x < a. Moreover that you do all this because the eigenfunctions are standing waves in a bound state and not traveling waves.
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Re: Eigenstate Superposition Simulation
Author: Bruce, ComPADRE Dir Thank you for your comment. This is true, the Superposition Model uses the simple harmonic oscillator wavefunctions using the Hermite Polynomials, as outlined in the description.
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Record Link
<a href="https://www.compadre.org/portal/items/detail.cfm?ID=7945">Christian, Wolfgang. "Eigenstate Superposition Model."</a>
AIP Format
W. Christian, Computer Program EIGENSTATE SUPERPOSITION MODEL (2008), WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=7945&DocID=684).
AJP/PRST-PER
W. Christian, Computer Program EIGENSTATE SUPERPOSITION MODEL (2008), <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=7945&DocID=684>.
APA Format
Christian, W. (2008). Eigenstate Superposition Model [Computer software]. Retrieved May 1, 2025, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=7945&DocID=684
Chicago Format
Christian, Wolfgang. "Eigenstate Superposition Model." https://www.compadre.org/Repository/document/ServeFile.cfm?ID=7945&DocID=684 (accessed 1 May 2025).
MLA Format
Christian, Wolfgang. Eigenstate Superposition Model. Computer software. 2008. Java (JRE) 1.5. 1 May 2025 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=7945&DocID=684>.
BibTeX Export Format
@misc{
Author = "Wolfgang Christian",
Title = {Eigenstate Superposition Model},
Month = {August},
Year = {2008}
}
Refer Export Format
%A Wolfgang Christian %T Eigenstate Superposition Model %D August 31, 2008 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=7945&DocID=684 %O application/java
EndNote Export Format
%0 Computer Program %A Christian, Wolfgang %D August 31, 2008 %T Eigenstate Superposition Model %8 August 31, 2008 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=7945&DocID=684 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 3 shared folders. You must login to access shared folders. |
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