Pistons modeled by potentials
Abstract
In this article we consider a piston modelled by a potential in the presence of extra dimensions. We analyze the functional determinant and the Casimir effect for this configuration. In order to compute the determinant and Casimir force we employ the zeta function scheme. Essentially, the computation reduces to the analysis of the zeta function associated with a scalar field living on an interval in a background potential. Although, as a model for a piston, it seems reasonable to assume a potential having compact support within , we provide a formalism that can be applied to any sufficiently smooth potential.
Keywords
Cite
@article{arxiv.1106.0731,
title = {Pistons modeled by potentials},
author = {Guglielmo Fucci and Klaus Kirsten and Pedro Morales},
journal= {arXiv preprint arXiv:1106.0731},
year = {2015}
}
Comments
10 pages, LaTeX. A typo in eq. (3.5) has been corrected. In "Cosmology, Quantum Vacuum and Zeta Functions: In Honour of Emilio Elizalde", Eds. S.D. Odintsov, D. Saez-Gomez, and S. Xambo-Descamps. (Springer 2011) pp 313