The Pöschl-Teller potential is a smooth potential well of the form V(x) = 1/cosh(x)^{2}. Here you can see an animation of a superposition of bound states that performs a periodic motion and a parameter animation of the bound states (depending on the depth or width of the potential).

Bohmian mechanics is a hidden variable theory of quantum mechanics. Here are some visualizations of Bohmian particles in one space-dimension: Particles at a rectangular potential step, a smooth step, and a rectangular barrier.