Rotationalndash;vibrational matrix elements for Kratzer oscillators

摘要

Several recursion relations connecting Kratzer oscillator matrix elements of different operators are derived using the hypervirial theorem. These relations can be easily used to calculate such matrix elements, either numerically or by developing analytical expressions. In particular, analytical expressions for the matrix elements of thexagr;andxagr;d/dxoperators, wherexis an internuclear separation coordinate, are obtained.