Animation of the <a href="https://en.wikipedia.org/wiki/Wave_function" class="extiw" title="en:Wave function">quantum wave function</a> of a <a href="https://en.wikipedia.org/wiki/coherent_state" class="extiw" title="en:coherent state">coherent state</a> of initial α=3 in a <a href="https://en.wikipedia.org/wiki/Quantum_harmonic_oscillator" class="extiw" title="en:Quantum harmonic oscillator">Quantum harmonic oscillator</a>. The <a href="https://en.wikipedia.org/wiki/Probability_distribution" class="extiw" title="en:Probability distribution">probability distribution</a> is drawn along the ordinate, while the phase is encoded by color. The <a href="https://en.wikipedia.org/wiki/Gaussian_function" class="extiw" title="en:Gaussian function">gaussian</a> <a href="https://en.wikipedia.org/wiki/Wave_packet" class="extiw" title="en:Wave packet">wave packet</a> oscillates sinusoidally in the harmonic potential.
<a href="//commons.wikimedia.org/wiki/User:Geek3" title="User:Geek3">Geek3</a>
CC BY 3.0
This  plot was created with <a href="https://en.wikipedia.org/wiki/Matplotlib" class="extiw" title="w:Matplotlib">Matplotlib</a>.