The van der Waals interaction in one, two and three dimensions

Asger Cronberg Ipsen; Kim Splittorff

doi:10.1119/1.4896248

The van der Waals interaction in one, two and three dimensions

Asger Cronberg Ipsen, Kim Splittorff

Theoretical high energy, astroparticle and gravitational physics

3 Citations (Scopus)

Abstract

The van der Waals interaction between two polarizable atoms is considered. In three dimensions, the standard form with an attractive 1/R⁶ potential is obtained from second-order quantum perturbation theory. When the electron motion is restricted to lower dimensions (but the 1/R Coulomb potential is retained), new terms in the expansion appear and alter both the sign and the R-dependence of the interaction.

Original language	English
Journal	American Journal of Condensed Matter Physics
Volume	83
Pages (from-to)	150-155
ISSN	2163-1123
DOIs	https://doi.org/10.1119/1.4896248
Publication status	Published - 11 Sept 2014

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title = "The van der Waals interaction in one, two and three dimensions",

abstract = "The van der Waals interaction between two polarizable atoms is considered. In three dimensions, the standard form with an attractive 1/R6 potential is obtained from second-order quantum perturbation theory. When the electron motion is restricted to lower dimensions (but the 1/R Coulomb potential is retained), new terms in the expansion appear and alter both the sign and the R-dependence of the interaction.",

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AU - Splittorff, Kim

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N2 - The van der Waals interaction between two polarizable atoms is considered. In three dimensions, the standard form with an attractive 1/R6 potential is obtained from second-order quantum perturbation theory. When the electron motion is restricted to lower dimensions (but the 1/R Coulomb potential is retained), new terms in the expansion appear and alter both the sign and the R-dependence of the interaction.

AB - The van der Waals interaction between two polarizable atoms is considered. In three dimensions, the standard form with an attractive 1/R6 potential is obtained from second-order quantum perturbation theory. When the electron motion is restricted to lower dimensions (but the 1/R Coulomb potential is retained), new terms in the expansion appear and alter both the sign and the R-dependence of the interaction.

U2 - 10.1119/1.4896248

DO - 10.1119/1.4896248

M3 - Journal article

SN - 2163-1123

VL - 83

SP - 150

EP - 155

JO - American Journal of Condensed Matter Physics

JF - American Journal of Condensed Matter Physics

ER -

The van der Waals interaction in one, two and three dimensions

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