Cylinder kernel expansion of Casimir energy with a Robin boundary

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dc.contributorFulling, Stephen A
dc.creatorLiu, Zhonghai
dc.date.accessioned2006-10-30T23:27:00Z
dc.date.accessioned2017-04-07T19:52:12Z
dc.date.available2006-10-30T23:27:00Z
dc.date.available2017-04-07T19:52:12Z
dc.date.created2006-08
dc.date.issued2006-10-30
dc.description.abstractWe 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.
dc.identifier.urihttp://hdl.handle.net/1969.1/4245
dc.language.isoen_US
dc.publisherTexas A&M University
dc.subjectCasimir energy
dc.subjectRobin boundary
dc.subjectcylinder kernel
dc.titleCylinder kernel expansion of Casimir energy with a Robin boundary
dc.typeBook
dc.typeThesis

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