The graph at the bottom of the window below corresponds to the potential
energy of a one dimensional square potential well.
On the top, the eigenfunction
corresponding to the ground state of the quantum well should appear.
A horizontal line on the potential plot indicates the energy eigenvalue
level. The boundaries at the window edges are assumed to be at infinitely
high potential.
You can move the cursor to the potential area and change the potential by
plotting in your modification with the left mouse button pressed. As
soon as you release the button, the eigenfunction for the modified potential will
appear. The ground state is found by repeated operations
with the inverse of the Hamiltonian. The excited states are determined
similarly, projecting out the lower energy states before each
operation.