Time-Dependent Superposition of Rigid Rotor Eigenstates

This Demonstration looks at a time-dependent superposition of the nine lowest quantum rigid-rotor eigenstates, , where , are the associated Legendre polynomials, and and are the orbital and magnetic quantum numbers, respectively. The energy levels are , where is the rotational constant. The figure shows the complex wavefunction , where the shape is its modulus and the coloring is according to its argument, the range to corresponding to colors from red to magenta.