Barrier Scattering Model Documents

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Main Document

Barrier Scattering Model 

written by Wolfgang Christian

The Barrier Scattering model computes the 1D quantum scattering-state wave function and shows its time evolution for an arbitrary potential V(x) on the interval [xmin,xmax]. It is a supplemental simulation for the article "Smooth double barriers in quantum mechanics" by Avik Dutt and Sayan Kar in the American Journal of Physics 78(12), 1352-1360 (2010) and has been approved by the authors and the American Journal of Physics (AJP) editor.

The transmission probability as a function of incident particle energy is shown in a second window.  Users can select a predefined V(x) or their own function and can vary the energy E and then observe the wave function and its time evolution.  The transmission amplitude is computed and a data point is added to the transmission probability graph when the energy is changed.  Because resonances are often sharp, the transmission probability graph has an energy-scan option that automatically computes the transmission coefficient as the energy is incremented.  Set the energy below the resonance and choose a small energy increment ?E to obtain a high-resolution transmission probability spectrum.

The Barrier Scattering 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_BarrierScattering.jar file will run the program if Java is installed.

Last Modified May 24, 2013

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Source Code Documents

Barrier Scattering Source Code 

The source code zip archive contains an XML representation of the Barrier Scattering model.   Unzip this archive in your EJS workspace to compile and run this model using EJS.

Last Modified July 12, 2010

This file has previous versions.