Probability Densities, Expectation Values, and Uncertainties for Gaussian Wavepackets

This Demonstration considers a Gaussian wavepacket , in the position and momentum representations, respectively. The top-left panel shows the position-space probability density , position expectation value , and position uncertainty . The top-right panel shows the momentum-space probabiity density , momentum expectation value , and momentum uncertainty . The lower two panels show the complex wavepackets, where the shape is its modulus and the coloring represents the argument (the range to corresponding to colors from red to magenta).