The potential well activity is designed for use in
an undergraduate level course in physics or mathematics.

In an upper level undergraduate mathematics course,
this activity could be used to illustrate eigenvalue problems
in applied mathematics.

In a lower level undergraduate physics course, this activity
could be used to introduce Schrodinger's equation and
particle wave duality.

In an upper level undergraduate course in modern physics or
quantum mechanics, this activity could be used to introduce
numerical solutions to Schrodinger's equation. In this case,
it might be appropriate to require students to build their own
model rather than using the one supplied.

Solutions

Depending on whether the goal for the students is to practice
their numerical integration skills, they may be required to
create their own model, or they may use the model provided for them.

The solutions which match the boundary conditions should be sinusoidal
waves with a period of , where
.

Any other energy levels will fail to match the boundary conditions.