Abstract
An alternative method for finding exactly solvable quantum mechanical potentials is presented and discussed. As examples of this approach, the hydrogenic (Coulomb) radial potential and the anharmonic Pöschl—Teller diatomic potential are derived. The utility of the latter potential is checked by fitting it to published data for the B electronic state of diatomic iodine. This alternative means of finding exactly solvable quantum mechanical potentials should be of interest and use to physical and theoretical chemists.
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