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Image method in the calculation of the van der Waals force between an atom and a conducting surface
Initially, we make a detailed historical survey of van der Waals forces,
collecting the main references on the subject. Then, we review a method
recently proposed by Eberlein and Zietal to compute the dispersion van der
Waals interaction between a neutral but polarizable atom and a perfectly
conducting surface of arbitrary shape. This method has the advantage of
relating the quantum problem to a corresponding classical one in electrostatics
so that all one needs is to compute an appropriate Green function. We show how
the image method of electrostatics can be conveniently used together with the
Eberlein and Zietal mehtod (when the problem admits an image solution). We then
illustrate this method in a couple of simple but important cases, including the
atom-sphere system. Particularly, in our last example, we present an original
result, namely, the van der Waals force between an atom and a boss hat made of
a grounded conducting material.Comment: This is a pedagogical and introductory paper on van der Waals forces
between an atom and a conducting surfac