We discuss the formalism of Balian and Duplantier [Balian and Duplantier, Ann. Phys. (NY) 104, 300 (1977)APNYA60003-491610.1016/0003-4916(77)90334-7; Balian and Duplantier, Ann. Phys. (NY) 112, 165 (1978)APNYA60003-491610.1016/ 0003-4916(78)90083-0] 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, a torus, an 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 that approximately captures the shape dependence of the Casimir energy.
|Journal||Physical Review A - Atomic, Molecular, and Optical Physics|
|State||Published - Jul 15 2014|
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics