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Convergence of the multipole expansions of the polarization and dispersion interactions for atoms under confinement

Zhang, Yong-Hui, Tang, Li-Yan, Zhang, Xian-Zhou, Jiang, Jun and Mitroy, Jim (2012). Convergence of the multipole expansions of the polarization and dispersion interactions for atoms under confinement. Journal of Chemical Physics,136(17):174107-1-174107-6.

Document type: Journal Article
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IRMA ID 82794376xPUB16
Title Convergence of the multipole expansions of the polarization and dispersion interactions for atoms under confinement
Author Zhang, Yong-Hui
Tang, Li-Yan
Zhang, Xian-Zhou
Jiang, Jun
Mitroy, Jim
Journal Name Journal of Chemical Physics
Publication Date 2012
Volume Number 136
Issue Number 17
ISSN 0021-9606   (check CDU catalogue open catalogue search in new window)
Scopus ID 2-s2.0-84862903102
Start Page 174107-1
End Page 174107-6
Total Pages 6
Place of Publication United States of America
Publisher American Institute of Physics
HERDC Category C1 - Journal Article (DIISR)
Abstract The multipole expansion of the polarization interaction between a charged particle and an electrically neutral object has long been known to be asymptotic in nature, i.e., the multiple expansion diverges at any finite distance from the atom. However, the multipole expansion of the polarization potential of a confined hydrogen atom is shown to be absolutely convergent at a distance outside the confinement radius, R 0, of the atom. The multipole expansion of the dispersion potential between two confined hydrogen atoms is also shown to be absolutely convergent provided the two atoms satisfy R > 2R 0, where R is the inter-nuclear separation. These results were established analytically using oscillator strength sum rules and verified numerically using a B-spline description of the hydrogen ground state and its excitation spectrum.
DOI http://dx.doi.org/10.1063/1.4705279   (check subscription with CDU E-Gateway service for CDU Staff and Students  check subscription with CDU E-Gateway in new window)
Additional Notes Preprint pages 1-4


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