# Procedures for the evaluation of atomic transition matrix elements in the interaction with laser light

## Description

Abstract Analytical and numerical procedures for the calculation of atomic transition matrix elements in the interaction with linearly and circularly polarized laser light are presented. The laser—atom interaction is treated beyond the dipole approximation. The procedures are derived explicitly for hydrogen but may be readily generalized to other one-electron systems with, e.g., quantum defect type radial wavefunctions. The numerical procedure is programmed in Matlab and tested for main quantum number... Title of program: fnodipol Catalogue Id: ADKO_v1_0 Nature of problem Calculation of exact matrix elements between hydrogenic states perturbed by linearly or circularly polarized laser light. The different functions which are called by the main code, fnodipol, allows the evaluation of the radial hydrogen wavefunction and its derivative, spherical harmonics, the integral of a product of three spherical harmonics, 3-j symbols and Clebsch-Gordan coefficients. Versions of this program held in the CPC repository in Mendeley Data ADKO_v1_0; fnodipol; 10.1016/S0010-4655(99)00250-7 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)