English

Casimir energy between a plane and a sphere in electromagnetic vacuum

Quantum Physics 2008-07-31 v2

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.

Keywords

Cite

@article{arxiv.0803.2444,
  title  = {Casimir energy between a plane and a sphere in electromagnetic vacuum},
  author = {Paulo A. Maia Neto and Astrid Lambrecht and Serge Reynaud},
  journal= {arXiv preprint arXiv:0803.2444},
  year   = {2008}
}

Comments

4 pages, 3 figures. A comparison with existing results (new reference [26]) was added

R2 v1 2026-06-21T10:22:06.414Z