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
The source code zip archive contains an EJS-XML representation of the Spline Potential Eigenfunctions Model. Unzip this archive in your EJS workspace to compile and run this model using EJS.
download 20kb .zip
Last Modified: June 12, 2014
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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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