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APS » Journals » Phys. Rev. A » Volume 72 » Issue 1
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Phys. Rev. A 72, 012105 (2005) [9 pages]

Casimir energy for a hyperboloid facing a plate in the optical approximation

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O. Schröder*
School of Mathematics and Statistics, University of Plymouth, Plymouth PL4 8AA, United Kingdom and Center for Theoretical Physics, Laboratory for Nuclear Sciences and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

A. Scardicchio† and R. L. Jaffe‡
Center for Theoretical Physics, Laboratory for Nuclear Sciences and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

Received 10 February 2005; published 5 July 2005

We study the Casimir energy of a massless scalar field that obeys Dirichlet boundary conditions on a hyperboloid facing a plate. We use the optical approximation including the first six reflections and compare the results with the predictions of the proximity force approximation and the semiclassical method. We also consider finite size effects by contrasting the infinite with a finite plate. We find sizable and qualitative differences between the optical method and the more traditional approaches.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.72.012105
DOI:
10.1103/PhysRevA.72.012105
PACS:
03.65.Sq, 03.70.+k, 42.25.Gy

*Electronic address: oliver.schroder@plymouth.ac.uk

†Electronic address: scardicc@mit.edu

‡Electronic address: jaffe@mit.edu

 
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