QM 1D energy eigenstates
This interactive application integrates the time-independent Schrodinger equation.
You can select and adjust various potential energy functions, choose the symmetry of the desired solution, and adjust the energy of the state. Acceptable quantum bound states must go asymptotically to zero in the classically forbidden regions at large positive and negative x. Adjust the energy until that condition is (approximately) reached to find the energy eigenvalues and eigenstates.
R. Tobin, Created with GeoGebra