Casimir energy between a plane and a sphere in electromagnetic vacuum
Abstract
The Casimir energy is computed in the geometry of interest for the most precise experiments, a plane and a sphere in electromagnetic vacuum. The scattering formula is developed on adapted plane-waves and multipole basis, leading to an expression valid for arbitrary relative values of the sphere radius and inter-plate distance. In the limiting case of perfect reflection, the electromagnetic result is found to depart from the commonly used proximity-force approximation (PFA) significantly more rapidly than expected from scalar computations.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2008
- DOI:
- 10.48550/arXiv.0803.2444
- arXiv:
- arXiv:0803.2444
- Bibcode:
- 2008arXiv0803.2444N
- Keywords:
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- Quantum Physics
- E-Print:
- 4 pages, 3 figures. A comparison with existing results (new reference [26]) was added