In my previous post, I presented a method of visualizing wavefunctions that are inherently complex-valued using a single plot that shows both the probability density and phase but frozen in time. Here, I complete this visualization by animating the plot.
Visualizing wavefunctions is essential in quantum mechanics (or wave physics, in general).
For starters, let’s start with the eigenmode of the wave produced by the transverse displacement of a string of length (like that of a guitar) with fixed endpoints. The modes of these vibrations is given by , where is the maximum displacement, is the position, is the mode number, and is the mode frequency. Shown below is wavefunction for plotted as a single image for different snapshots in time.