Momenttheory investigations of photoabsorption and dispersion profiles in atoms and ions
Abstract
An improved (Tchebycheff) moment approach is introduced which gives profiles that are continuous in the photoionization region and exhibit the deltafunctionlike behavior associated with discrete transitions at the appropriate frequencies. The methods are applied in illustrative calculations of absorption and dispersion profiles in one and twoelectron atoms and ions. In the case of oneelectron atomic systems the necessary polynomial recurrence coefficients are obtained in closed form from the known spectral moments. Variational calculations using large basis sets of squareintegrable functions provide accurate spectra moments for atomic helium and the negative hydrogen ion.
 Publication:

Final Report Joint Inst. for Lab. Astrophysics
 Pub Date:
 March 1976
 Bibcode:
 1976jila.rept.....L
 Keywords:

 Atomic Spectra;
 Atoms;
 Dipole Moments;
 Dispersion;
 Ions;
 Entire Functions;
 Helium;
 Hydrogen;
 Numerical Analysis;
 Refractivity;
 Atomic and Molecular Physics