Rovibrational energy levels and expectation values for perturbed Kratzer oscillators

摘要

A perturbative treatment for perturbed Kratzer potentials is carried out. Recursion expressions for the energy and expectation values of powers of the internuclear separation are derived by using conmutation relations. An application to the Simons, Parr, and Finlan potential is made. Numerical results are compared with those derived by direct numerical integration.