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The Open Source Physics Project is supported by NSF DUE-0442581.

Computer Program Detail Page

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Spline Potential Eigenfunctions Model
written by Wolfgang Christian
The Spline Potential Eigenfunctions Model computes the Schrödinger equation energy eigenvalues and eigenfunctions for a particle confined to a potential well with hard walls at -a/2 and a/2 and a smooth potential energy function between these walls.  The potential energy function is a third-order piecewise continuous polynomial (cubic spline) that connects N draggable control points.  Cubic-spline coefficients are chosen such that the resulting potential energy function and its first derivative is smooth throughout the interior and has zero curvature at the endpoints.  Users can vary the number of control points and can drag the control points to study level splitting in multi-well systems.  Additional windows show a table of energy eigenvalues and their corresponding energy eigenfunctions.

The Spline Potential Eigenfunctions 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_SplinePotentialEigenfunctions.jar file will run the program if Java is installed.

Please note that this resource requires at least version 1.6 of Java (JRE).
1 source code document is available
Subjects Levels Resource Types
General Physics
- Computational Physics
Quantum Physics
- Bound State Systems
- General
- Upper Undergraduate
- Graduate/Professional
- Instructional Material
= Interactive Simulation
Intended Users Formats Ratings
- Learners
- Educators
- application/java
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Free access
Additional information is available.
© 2012 Wolfgang Christian
Record Cloner:
Metadata instance created January 8, 2012 by Wolfgang Christian
Record Updated:
June 12, 2014 by Andreu Glasmann
Last Update
when Cataloged:
January 8, 2012
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AIP Format
W. Christian, Computer Program SPLINE POTENTIAL EIGENFUNCTIONS MODEL (2012), WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11612&DocID=2509).
W. Christian, Computer Program SPLINE POTENTIAL EIGENFUNCTIONS MODEL (2012), <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11612&DocID=2509>.
APA Format
Christian, W. (2012). Spline Potential Eigenfunctions Model [Computer software]. Retrieved May 30, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11612&DocID=2509
Chicago Format
Christian, Wolfgang. "Spline Potential Eigenfunctions Model." https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11612&DocID=2509 (accessed 30 May 2024).
MLA Format
Christian, Wolfgang. Spline Potential Eigenfunctions Model. Computer software. 2012. Java (JRE) 1.6. 30 May 2024 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11612&DocID=2509>.
BibTeX Export Format
@misc{ Author = "Wolfgang Christian", Title = {Spline Potential Eigenfunctions Model}, Month = {January}, Year = {2012} }
Refer Export Format

%A Wolfgang Christian %T Spline Potential Eigenfunctions Model %D January 8, 2012 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11612&DocID=2509 %O application/java

EndNote Export Format

%0 Computer Program %A Christian, Wolfgang %D January 8, 2012 %T Spline Potential Eigenfunctions Model %8 January 8, 2012 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11612&DocID=2509

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Spline Potential Eigenfunctions Model:

Is Based On Easy Java Simulations Modeling and Authoring Tool

The Easy Java Simulations Modeling and Authoring Tool is needed to explore the computational model used in the Spline Potential Eigenfunctions Model.

relation by Wolfgang Christian

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