2.5.8 Three-dimensional solution

1

How can eigenfunctions of one-dimensional problems be used to find eigenfunctions of three-dimensional problems?

2

How is the corresponding energy found?

3

Sketch the probability of finding a particle stuck in a pipe of square cross-section, if it is in the ground state.

4

Sketch the probability of finding a particle stuck in a pipe of square cross-section, if it is in the lowest excited energy state.