This Demonstration studies a superposition of two quantum harmonic oscillator eigenstates in the position and momentum representations. The superposition consists of two eigenstates

, where

and

is the

Hermite polynomial; the representations are connected via

. The top-left panel shows the position space probability density

, position expectation value

, and position uncertainty

. The top-right panel shows the momentum space probability density

, momentum expectation value

, and momentum uncertainty

. The lower two panels show the real and imaginary parts of the wavefunction.