Finite square quantum well - depth

[zheng89120]

Homework Statement

Find the condition on the depth of the finite square well such that one finds two even and one odd bound state energy eigenstates, but no other bound state solutions exist. Your answer should appear as a range of allowed well depths, say ? < V_{depth of well} < ?

Homework Equations

Finite Square Quantum Well

The Attempt at a Solution

guess:

h²/8mL² < V_{depth of well} < 9h²/8mL²

 

[vela]

Why don't you try solving for the energies of the bound states of a finite square well?