Casimir energy of smooth compact surfaces
Statistical Mechanics
2014-07-16 v2 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.1403.3453,
title = {Casimir energy of smooth compact surfaces},
author = {Joseph P. Straley and Eugene B. Kolomeisky},
journal= {arXiv preprint arXiv:1403.3453},
year = {2014}
}
Comments
9 pages, 4 figures, minor changes, published version