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Quantum Double Slit Diffraction Simulation
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I thought I'd quickly share a simulation that I made while exploring quantum mechanical dynamics. This simulation uses a 4th order Runge-Kutta integration scheme to propagate the wavefunction over time according to the Schrodinger equation. The program is written in Python and uses Matplotlib for the visualization. An initially Gaussian pulse is set up with a velocity to the right which causes it to collide with the potential barrier. The potential barrier is psuedo-infinite: it is a sharply decaying Gaussian function with a very large peak. This improves the stability of the simulation. The two slit areas were set to zero potential to allow the wave packet to diffract through. An interference pattern is seen emerging as expected from the other side.
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