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T R O T T ' S C O R N E R
Michael Trott

3D Plots of the Scattering States

Next, we want to visualize the solution . The following auxiliary functions construct polygons adapted to the shape of the regions for a given solution CapitalPsi. Just like the joining curves, we use the arcs of the boundary of the center disk that touch the left and right arms.

The function make3DPlot generates a 3D plot of . It makes use of the symmetry about the -axis.

Here is a 3D plot of the probability density. Visually, the Dirichlet boundary condition along the center disk and the continuity to the arms is fulfilled to a high degree. The periodic structure in the left arm comes from the interference of the incoming part of the wave with its partial reflection back into the right arm.



     
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