| 1. |
- Bordag, Michael, et al.
(författare)
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First analytic correction beyond the proximity force approximation in the Casimir effect for the electromagnetic field in sphere-plane geometry
- 2010
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Ingår i: Physical Review D. - College Park, MD : American Physical Society. - 1550-7998 .- 1550-2368. ; 81:6, s. Article number 065011-
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Tidskriftsartikel (refereegranskat)abstract
- We consider the vacuum energy for a configuration of a sphere in front of a plane, both obeying the conductor boundary condition, at small separation. For the separation becoming small we derive the first next-to-leading order of the asymptotic expansion in the separation-to-radius ratio epsilon. This correction is of order epsilon. Opposite to the scalar cases it contains also contributions proportional to logarithms in first and second order, epsilon ln epsilon and epsilon(ln epsilon)(2). We compare this result with the available findings of numerical and experimental approaches.
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| 2. |
- Teo, L. P., et al.
(författare)
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Corrections beyond the proximity force approximation
- 2011
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Ingår i: Physical Review D. - College Park, MD : American Physical Society. - 1550-7998 .- 1550-2368. ; 84:12, s. 125037-
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Tidskriftsartikel (refereegranskat)abstract
- We recalculate the first analytic correction beyond proximity force approximation for a sphere in front of a plane for a scalar field and for the electromagnetic field. We use the method of Bordag and Nikolaev [J. Phys. A 41, 164002 (2008)]. We confirm their result for Dirichlet boundary conditions whereas we find a different one for Robin, Neumann and conductor boundary conditions. The difference can be traced back to a sign error. As a result, the corrections depend on the Robin parameter. Agreement is found with a very recent method of derivative expansion.
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