Asymptotic expansions of the hydrogenic radial dipole integral

Abstract

A method is presented for an asymptotic expansion of the hydrogenic radial dipole integral for discrete-discrete transitions from initial state n'l' to final state nl. The advantage of this simple method is that it allows all the necessary algebraic manipulations to be done by the computer programming package REDUCE-2. Expansion coefficients up to the coefficient of the l/n17 term are obtained for all initial states with n' < or = 10. However, only the coefficients which are not calculated by Klarsfeld are tabulated in this paper.

Symbolic calculation in chemistry: Selected examples

“…Dubey, Khandelwal, and Pritchard constructed asymptotic formulas for the hydrogenic radial dipole integral and computed transitions probabilities analytically using REDUCE 85.…”

Photoionization suppression by continuum coherence: Experiment and theory

“…Many authors have presented expressions for these matrix elements when the radial functions are those of hydrogen-like atoms [61][62][63][64][65][66][67][68][69][70][71][72] . We have found that a convenient expression is…”