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The dispersion interaction between closed-shell atoms. The relation between the variation—perturbation method and sum rule methods

✍ Scribed by R. Luyckx

Publisher: Elsevier Science
Year: 1983
Tongue: English
Weight: 406 KB
Volume: 95
Category: Article
ISSN: 0009-2614
DOI: 10.1016/0009-2614(83)87239-x

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✦ Synopsis

The relation between the variation-perturbation method and sum rule methods is explored. Thevariation-perturbation method is a simple method which yields accurate numerical results for all higher-order multipole dispersion coefficients.

T&is method is related to a method which obtains bounds on dispersion coefficients, in term of both even and odd oscillator strength sum rules. Using simple quantum mechanics we attempt to elucidate what is me mathematical origin of this relation.

1 _ Introduction

At the basis of both the variation-perturbation and bounding method lies the Casimir-Polder espression for dispersion coefficients. In both methods one will substitute for the exact dynamic polarizability aI(iE) an approximate, finite tern1 polarizabiiity of the form * Aangesteld Navorser Nationaal Fonds VOOI Wetenschappelijk Onderzoek (Belgium). 0 031-9163/83/0000-0000/S 03.00 0 1983 North-Holland

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