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Convergence of the multipole expansion of the polarization interaction

2011/07/31 by Yong-Hui Zhang, Li-Yan Tang, Zhang, Yong-Hui +5
Engineering · Physics and Astronomy · #Atomic Physics (physics.atom-ph) #Atomic and Molecular Physics #FOS: Physical sciences #Nuclear Physics and Applications #Particle accelerators and beam dynamics

paper · pdf · doi:10.48550/arxiv.1108.0150

openalex publication_date 2011/07/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The multipole expansion of the polarization interaction between a charged particle and an electrically charged particle has long been known to be asymptotic in nature, i.e. the multiple expansion diverges at any finite distance from the atom. However, it is shown that the multipole expansion of the polarization potential of a confined hydrogen atom is absolutely convergent at a distance outside the atoms confinement radius. It is likely that the multipole expansion of the dispersion interaction of two confined atoms will also be absolutely convergent provided the internuclear separation of the two atoms is sufficiency large to exclude any overlap between the electron charge clouds of the two atoms.

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