The Casimir effect as a sum-over-modes in dissipative systems
Quantum Physics
2013-01-08 v2
Abstract
The aim of this paper is to show that within the open-system framework the sum-over-modes approach \'a la Casimir leads to the Lifshitz formula for the Casimir free energy. A general result applicable to arbitrary geometries is obtained through the use of Ford, Lewis, & O'Connell's remarkable formula. Additionally, we address the possibility for obtaining the Casimir energy as a sum over complex "modes". We show in this case that the standard sum-over-modes formula must be suitably generalized to avert unphysical complex energies. Finally, we apply our results to several standard examples.
Keywords
Cite
@article{arxiv.1209.6072,
title = {The Casimir effect as a sum-over-modes in dissipative systems},
author = {Francesco Intravaia and Ryan Behunin},
journal= {arXiv preprint arXiv:1209.6072},
year = {2013}
}
Comments
20 pages, 3 figures