Simple Sum Rule for Total Radiative Decay Rates--Comparison of Quantal and Classical Methods for Diatomics

摘要

Total radiative decay coefficients for electronic transitions in diatomic molecules are evaluated by means of an initial state expectation value < V-cubed(R)(mu sub e)squared(R)>(V = difference potential, micron = transition moment function) in place of the usual sum over final states. This exception value is calculated by quantal and classical methods and compared with the exact expression as a function of reduced mass and initial vibrational state for several combinations of initial and final potentials and transition moment functions. The errors in both the sum rule and its classical implementation seldom exceed 1%, and then only for hydrogenic reduced mass. Keywords: Radiative decay coefficients electronic transitions; Diatomic molecules; and Reprints.