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This java applet is a quantum mechanics simulation that shows the behavior of a particle in a two-dimensional crystal (or periodic potential).

At the top of the applet you will see a graph of the particle's wave function. By default, the potential is an array of rectangular square wells; the gray lines indicate the positions of the wells.

Below the particle's position you will see its band structure, displayed as a dispersion curve; this is a graph of energy versus the crystal momentum k, with the energy bands shown as gray in the background. The particle's energy is shown as a red horizontal line.

Below the dispersion curve is a graph of the reciprocal lattice, or "k-space". The colored dots correspond to the colored lines in the band structure graph.

To view a state, click on either the dispersion curve or the k-space graph.

Full Directions.

Zip archive of this applet.

1-D Quantum Mechanics Applet.

1-D Crystal Applet.

Other applets.

Version 1.0c, posted 2/7/14

Thanks to the authors of JLAPACK for the eigenvalue routines.