Scalar Casimir effect between Dirichlet spheres or a plate and a sphere
High Energy Physics - Theory
2007-05-23 v2 Statistical Mechanics
High Energy Physics - Phenomenology
Chaotic Dynamics
Quantum Physics
Abstract
We present a simple formalism for the evaluation of the Casimir energy for two spheres and a sphere and a plane, in case of a scalar fluctuating field, valid at any separations. We compare the exact results with various approximation schemes and establish when such schemes become useful. The formalism can be easily extended to any number of spheres and/or planes in three or arbitrary dimensions, with a variety of boundary conditions or non-overlapping potentials/non-ideal reflectors.
Cite
@article{arxiv.hep-th/0511056,
title = {Scalar Casimir effect between Dirichlet spheres or a plate and a sphere},
author = {Aurel Bulgac and Piotr Magierski and Andreas Wirzba},
journal= {arXiv preprint arXiv:hep-th/0511056},
year = {2007}
}
Comments
published version; 13 pages, 2 figures; add. material (in Sec.VI) and corrections (esp. in App.B)