Numerical Calculation of Eigenfunctions for Finite Square-Well Potential
The Schrödinger equation for a finite square well is solved numerically for variable values of energy . Only wave functions that approach 0 as approaches infinity can represent physically acceptable solutions, leading to energy quantization. Energy and well depth are expressed in terms of the ground-state energy for an infinite square well of the same width.
Snapshot 3 fulfills boundary conditions as while functions in Snapshots 1 and 2 fail.