Spline Potential Eigenfunctions Model DocumentsThis material has 2 associated documents. Select a document title to view a document's information. Main DocumentSpline Potential Eigenfunctions Model
written by
Wolfgang Christian
The Spline Potential Eigenfunctions Model computes the SchrÃ¶dinger 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.
Last Modified June 12, 2014
This file has previous versions. Source Code DocumentsSpline Potential Eigenfunctions Source CodeThe 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.
Last Modified June 12, 2014
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