arXiv 0811.01282008-11math-phhep-thmath.MPquant-ph

从多重散射到范德华相互作用：偏心圆柱的精确结果

From multiple scattering to van der Waals interactions: exact results for eccentric cylinders

Kimball A. Milton, Prachi Parashar, Jef Wagner

备注：: 8 pages, 1 figure, paper written in honor of Iver Brevik on the occasion of his 70th birthday; revision corrects a few typos and updates a reference

摘要：

在本文中，致力于职业生涯的Iver Brevik，我们审查的推导延迟范德华或Casimir-Polder相互作用的极化分子之间的Casimir相互作用的一般多重散射制定机构。然后，我们应用这个范德华势来研究细长圆柱体之间的相互作用，包括偏心圆柱体，并重新审视了一个细长的电介质圆柱体的自能消失。在每种情况下，得到封闭形式的表达式。

英文摘要：

In this paper, dedicated to the career of Iver Brevik, we review the derivation of the retarded van der Waals or Casimir-Polder interaction between polarizable molecules from the general multiple scattering formulation of Casimir interactions between bodies. We then apply this van der Waals potential to examine the interaction between tenuous cylindrical bodies, including eccentric cylinders, and revisit the vanishing self-energy of a tenuous dielectric cylinder. In each case, closed-form expressions are obtained.

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