Casimir Interaction between a plate and a cylinder |
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Authors: | Emig T Jaffe R L Kardar M Scardicchio A |
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Institution: | Institut für Theoretische Physik, Universit?t zu K?ln, Zülpicher Strasse 77, 50937 K?ln, Germany. |
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Abstract: | We find the exact Casimir force between a plate and a cylinder, a geometry intermediate between parallel plates, where the force is known exactly, and the plate sphere, where it is known at large separations. The force has an unexpectedly weak decay approximately L/H3 ln(H/R)] at large plate-cylinder separations H (L and R are the cylinder length and radius), due to transverse magnetic modes. Path integral quantization with a partial wave expansion additionally gives a qualitative difference for the density of states of electric and magnetic modes, and corrections at finite temperatures. |
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