written by
Wolfgang Christian
The Schrödinger Numerov Eigensystem Model solves the time-independent Schrödinger Equation with arbitrary potential energy V(x) using the Numerov method recast on a discrete lattice. As shown by Pillai, Goglio, and Walker, the resulting matrix eigenvalue problem can be solved with just a few lines of code. In this model, we demonstrate how to do this computation in Java using the linear algebra package in the Apache Commons Math library. Users can adjust the location of the hard hard walls at x-minimum and x-maximum and the potential V(x) in the region between the walls. The main window shows the potential and the energy eigenvalue spectrum along with a superimposed wave function psi. A second window shows the normalized wave function. The energy eigenvalue can be set by dragging the cursor in the main window or by entering the quantum number n.
The Schrödinger Numerov Eigensystem Model was developed using the Easy Java Simulations (Ejs) modeling tool. It is distributed as a ready-to-run (compiled) Java archive. Double clicking the jar file will run the program if Java is installed. You can modify this simulation if you have EJS installed by right-clicking within the map and selecting "Open Ejs Model" from the pop-up menu item. Please note that this resource requires at least version 1.6 of Java.
View the source code document attached to this resource
Schrödinger Equation Eigensystem Source Code
The source code zip archive contains an XML representation of the Schrödinger Equation Eigensystem Model. Unzip this archive in your EJS workspace to compile… more... download 23kb .zip Last Modified: November 14, 2012
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<a href="http://www.compadre.org/portal/items/detail.cfm?ID=12473">Christian, Wolfgang. "Schrödinger Equation Eigensystem Model." Version 1.0.</a>
AIP Format
W. Christian, Computer Program SCHRÖDINGER EQUATION EIGENSYSTEM MODEL, Version 1.0 (2012), WWW Document, (http://www.compadre.org/Repository/document/ServeFile.cfm?ID=12473&DocID=3141).
AJP/PRST-PER
W. Christian, Computer Program SCHRÖDINGER EQUATION EIGENSYSTEM MODEL, Version 1.0 (2012), <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=12473&DocID=3141>.
APA Format
Christian, W. (2012). Schrödinger Equation Eigensystem Model (Version 1.0) [Computer software]. Retrieved October 23, 2014, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=12473&DocID=3141
Chicago Format
Christian, Wolfgang. "Schrödinger Equation Eigensystem Model." Version 1.0. http://www.compadre.org/Repository/document/ServeFile.cfm?ID=12473&DocID=3141 (accessed 23 October 2014).
MLA Format
Christian, Wolfgang. Schrödinger Equation Eigensystem Model. Vers. 1.0. Computer software. 2012. Java 1.6. 23 Oct. 2014 <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=12473&DocID=3141>.
BibTeX Export Format
@misc{
Author = "Wolfgang Christian",
Title = {Schrödinger Equation Eigensystem Model},
Month = {November},
Year = {2012}
}
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%A Wolfgang Christian
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%0 Computer Program 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.
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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. Schrödinger Equation Eigensystem Model:
Is Based On
Easy Java Simulations Modeling and Authoring Tool
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