Beyond the simple Proximity Force Approximation: Geometrical effects on the non-retarded Casimir interaction

• Westudy the geometrical corrections to the simple proximity force approximation(PFA) for the nonretarded Casimir force. We present analytical resultsfor the force between objects of various shapes and substrates,and between pairs of objects. We compare the results tothose from more exact numerical calculations. We treat spheres, spheroids,cylinders, cubes, cones, and wings; the analytical PFA results togetherwith the geometrical correction factors are summarized in a table.

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