Joseph P. Straley, Eugene B. Kolomeisky
Published 2014-03-13, updated 2014-07-15Version 2
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.
Comments: 9 pages, 4 figures, minor changes, published version
Journal: Phys. Rev. A 90, 012514 (2014)
Casimir energy of a cylindrical shell of elliptical cross section
Casimir Energy and Entropy in the Sphere--Sphere Geometry
On the connection between Random Waves and Quantum Fields. Duality between nodal lines statistic and the Casimir energy
![QR code for arXiv:1403.3453 [cond-mat.stat-mech]](http://oss.arxitics.com/images/favicon.svg)