The curricular material is organized into three units.
Infinite Square Well shows the first five energy eigenstates and six two-state superpositions for a particle in an infinite square well. The eigenstates are shown in position and momentum space. The two-state superpositions are time dependent and are shown to evolve in time. The superpositions are shown in position and momentum space. In addition, one can choose to look at the expectation value of x and p.
Harmonic Oscillator shows the first five energy eigenstates and six two-state superpositions for a particle in a harmonic oscillator. The eigenstates are shown in position and momentum space. The two-state superpositions are time dependent and are shown to evolve in time. The superpositions are shown in position and momentum space. In addition, one can choose to look at the expectation value of x and p.
Infinite Square Well Revivals shows four initially localized Gaussian wave packets in an infinite square well. The energy scale, which determines the time scale for the animation, is set 2/π which forces Trev = 1. This is a convenient time scale for the study of revivals and fractional revivals which occur at Trev and fractions of Trev, respectively. The time evolution of these states are shown in position and momentum space. In addition, one can choose to look at the expectation value of x and p and also the position-space quantum carpet.