Dynamic multipole polarizabilities of atomic systems

Abstract

AbstractsTwo previous schemes for the calculation of dynamic multipole polarizabilities of atomic systems, namely, a hydrodynamic analogy to quantum mechanics and a perturbation expansion of the energy in multipoles, follow also from the conventional time-dependent perturbation scheme.Deux procedes, dtcrits prtcbdemment, pour le calcul des polarisabilitts multipolaires dynamiques de systtmes atomiques, savoir une analogie hydrodynamique a la mtcanique quantique et un dtveloppement de perturbation de I'energie en multipbles, sont obtenus aussi du schema conventionnel de perturbations dependantes du temps.Zwei fruher beschriebene Verfahren fur die Berechnung von dynamischen Multipolpolarisierbarkeiten fur atomare Systeme, namlich eine hydrodynamische Analogie zur Quantenmechanik und eine Storungsentwicklung der Energie in Multipolen, folgen auch von dem konventionellen zeitabhangigen Storungsschema.Recently, we described two methods of calculating the dynamic multipole polarizabilities of atomic [ l , 21 and molecular systems [3].The first method is based on the hydrodynamic model to quantum mechanics of Weiner and Askar [4] and Askar and Demiralp [5], extended by one of the present authors [l] and Bartolotti and Tyrrell [6]; the equivalence of the two extensions has been discussed [2,7]. The second method is an extension [2] of the scheme of Rivail and Rinaldi [8] for static multipole polarizabilities of atomic system, in which the total * Reference 11 contains extensive references to earlier works.

Long‐Range interaction coefficients between H, He+, He, and Li+

“…In Table I1 good agreement with that reported by Yousif et al [13]. Recently [15], we have shown that the variational calculation of dynamic multipole polarizabilities of atomic systems using the two schemes namely hydrodynamic analogy to quantum mechanics [ 161 and perturbation expansion of the energy in multipole [ 101 also follow from the conventional time-dependent perturbation scheme [15]. Hence we thought that our calculation for Sl(k) and that using hydrodynamic analogy to quantum mechanics should be the same and the discrepancy between our computed values of S l ( k ) and the given by Shukla et al [14] for k = 0,2,. .…”