Recent progress in numerical calculation for non-planar geometries == 

 It might be nice to mention the dramatic progress in the last few years on computations of Casimir forces for complex non-planar geometries.   (Especially since the current "More Recent Theory" section describes developments that are 50 years old!!) 

 It's gone from virtually nothing nonplanar 10 years ago (aside from small perturbations around planar cases, or even crude uncontrolled heuristic formulas), to the first cylinder-plate calculation 4 years ago (by Emig, Kardar, Jaffe, et al), to application of advanced computational methods from classical EM in order to compute Casimir forces for essentially any geometry demonstrated in the last 2-3 years. 

 There are a couple of ways to look at it.  First, once you express the unknowns approximately (to any desired accuracy) in a finite basis, the complicated functional path integrals can be turned into log determinants, and the matrix you are taking the log determinant of is essentially a classical scattering matrix of some sort.  Second, one can instead think about evaluating the mean fluctuations of the fields via the fluctuation dissipation theorem, which re-expresses the correlation functions in terms of classical Green's functions (fields from currents) that can be solved by standard classical methods.  (The two approaches turn out to be mathematically equivalent in the end, and are also equivalent to summing frequencies ala Casimir.)  The main wrinkle from the point of view of classical EM calculations is that it turns out that you need in practice to evaluate the scattering problem at imaginary or complex frequencies (where the problem becomes much nicer numerically and analytically), and you need to solve many classical problems for a single Casimir problem. 

 There is a new book on Casimir Physics coming out (in the Lecture Notes in Physics series) on the subject of recent Casimir developments.  I was invited to contribute a chapter on numerical methods, and I've posted a preprint of my review article (accepted, in press) on arXiv arXiv:1007.0996.  This might make a useful reference for the Wikipedia article (although I can understand if you want to wait until the book comes out in print), or in any case the references contained therein (see e.g. the references at the top of page 2) should give an idea of the scope of the recent developments. 

 (I don't want to add it myself, at least not without another editor taking a look, because of the possible WP:COI since my group is involved in the recent numerical developments.) 

    

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