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,âÂÂ)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.
| Identifer | oai:union.ndltd.org:tamu.edu/oai:repository.tamu.edu:1969.1/4245 |
| Date | 30 October 2006 |
| Creators | Liu, Zhonghai |
| Contributors | Fulling, Stephen A |
| Publisher | Texas A&M University |
| Source Sets | Texas A and M University |
| Language | en_US |
| Detected Language | English |
| Type | Book, Thesis, Electronic Thesis, text |
| Format | 242276 bytes, electronic, application/pdf, born digital |
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