Exact Solutions of the Schrödinger Equation for the Kratzer Potential
The Kratzer potential was originally intended to approximate the interatomic interaction in diatomic molecules . This has long since been superseded by superior alternatives, such as the Morse potential. However, the Kratzer potential belongs to the small number of problems for which the Schrödinger equation is exactly solvable, and is thus of intrinsic interest. The solution is outlined in the Details below.
For selected parameters and , you can display an energy diagram, showing the first seven eigenvalues superposed on the potential energy curve, or a plot of the radial function for a selected value of the quantum number .