Schrödinger Equation Eigensystem Model Documents
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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.
Published November 14, 2012
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Source Code Documents
The source code zip archive contains an XML representation of the Schrödinger Equation Eigensystem Model. Unzip this archive in your EJS workspace to compile and run this model using EJS.
Last Modified November 14, 2012