This simulation depicts the spreading of a free particle's wavefunction, as predicted by the Schrödinger equation. You can view the particle's momentum or position by changing the option in the simulation, and toggle between a normal filled graph and a graph that shows real/imaginary parts of the wavefunction with the Re/Im option. In addition, the uncertainty σ of the particle's momentum and position can be adjusted with the slider provided.
Note how the speed at which the wavefunction spreads changes with the uncertainty. Also note that the integral of the squared modulus of the wavefunction (the integral of the probability density function a.k.a. area under the curve) is always a constant 1.

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