Casimir energy of smooth compact surfaces
arXiv:1403.3453 · doi:10.1103/PhysRevA.90.012514
Abstract
We discuss the formalism of Balian and Duplantier for the calculation of the Casimir energy for an arbitrary smooth compact surface, and use it to give some examples: a finite cylinder with hemispherical caps, the torus, ellipsoid of revolution, a "cube" with rounded corners and edges, and a "drum" made of disks and part of a torus. We propose a model function which approximately captures the shape dependence of the Casimir energy.
9 pages, 4 figures, minor changes, published version