Match each of the wave function on the left for a particle in a finite square well with the corresponding probability distributions on the right,in the order (a),(b),and (c).

Question

Quizplus · Accepted Answer

The wave function (II) corresponds to an even parity state, which means the probability distribution will be symmetric around the center of the well. This matches with probability distributions (III) and (I), which have symmetric shapes. Wave function (III) corresponds to an odd parity state, which means the probability distribution will be antisymmetric and have a node at the center of the well. This matches with probability distribution (II), which has a node at the center.

Match Each of the Wave Function on the Left for a Particle