Image: Guassian Dispersion

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Description: Gaussian wave function allowed to evolve in free space via the Schrödinger equation generated with Mathematica using the following lines of code: u[x_, t_, x0_, k0_, om_] := Exp[-x0^2*k0^2/2]* Exp[-(x - I*x0^2*k0)^2/(2*x0^2*(1 + I*om*t))]/ Sqrt[x0*Sqrt[Pi]*(1 + I*om*t)] frame[t_] := Plot[Abs[u[x, t, 1, 5, 1]]^2, {x, -5, 35}, Axes -> {True, False}, Ticks -> None, PlotRange -> {0, 1/\[Pi]^(1/4)}] frames = ParallelTable[frame[t], {t, 0, 5, 0.02}]; Export["constant_momentum_wavefunction_in_free_space.gif", frames]
Title: Guassian Dispersion
Credit: This mathematical image was created with Mathematica
Author: Teply
Usage Terms: Creative Commons Zero, Public Domain Dedication
License: CC0
License Link: http://creativecommons.org/publicdomain/zero/1.0/deed.en
Attribution Required?: No

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