Cylinder kernel expansion of Casimir energy with a Robin boundary

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Title: Cylinder kernel expansion of Casimir energy with a Robin boundary
Author: Liu, Zhonghai
Abstract: We compute the Casimir energy of a massless scalar field obeying the Robin boundary condition on one plate and the Dirichlet boundary condition on another plate for two parallel plates with a separation of alpha . The Casimir energy densities for general dimensions (D = d + 1 ) are obtained as functions of alpha and beta by studying the cylinder kernel . We construct an infinite -series solution as a sum over classical paths . The multiple -reflection analysis continues to apply . We show that finite Casimir energy can be obtained by subtracting from the total vacuum energy of a single plate the vacuum energy in the region (0 , ? ? ? ? ? ? )x R^d -1 . In comparison with the work of Romeo and Saharian (2002 ) , the relation between Casimir energy and the coeffcient beta agrees well .
URI: http : / /hdl .handle .net /1969 .1 /4245
Date: 2006-10-30

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Cylinder kernel expansion of Casimir energy with a Robin boundary. Available electronically from http : / /hdl .handle .net /1969 .1 /4245 .

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