English

The Casimir effect in the sphere-plane geometry

Quantum Physics 2014-09-16 v1 Other Condensed Matter

Abstract

We present calculations of the Casimir interaction between a sphere and a plane, using a multipolar expansion of the scattering formula. This configuration enables us to study the nontrivial dependence of the Casimir force on the geometry, and its correlations with the effects of imperfect reflection and temperature. The accuracy of the Proximity Force Approximation (PFA) is assessed, and is shown to be affected by imperfect reflexion. Our analytical and numerical results at ambient temperature show a rich variety of interplays between the effects of curvature, temperature, finite conductivity, and dissipation.

Keywords

Cite

@article{arxiv.1202.3272,
  title  = {The Casimir effect in the sphere-plane geometry},
  author = {Antoine Canaguier-Durand and Romain Guérout and Paulo A. Maia Neto and Astrid Lambrecht and Serge Reynaud},
  journal= {arXiv preprint arXiv:1202.3272},
  year   = {2014}
}

Comments

Proceedings of the 10th International Conference "Quantum Field Theory Under the Influence of External Conditions" (Benasque, Spain, 2011); 10 pages and 6 figures

R2 v1 2026-06-21T20:19:41.852Z