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Scalar Casimir Energies for Separable Coordinate Systems: Application to Semi-transparent Planes in an Annulus

High Energy Physics - Theory 2017-08-23 v1 Mathematical Physics math.MP Quantum Physics

Abstract

We derive a simplified general expression for the two-body scalar Casimir energy in generalized separable coordinate systems. We apply this technique to the case of radial semi-transparent planes in the annular region between two concentric Dirichlet cylinders. This situation is explored both analytically and numerically.

Keywords

Cite

@article{arxiv.0912.2374,
  title  = {Scalar Casimir Energies for Separable Coordinate Systems: Application to Semi-transparent Planes in an Annulus},
  author = {J. Wagner and K. A. Milton and K. Kirsten},
  journal= {arXiv preprint arXiv:0912.2374},
  year   = {2017}
}

Comments

8 pages, 5 figures. Contribution to Proceedings of 9th Conference on Quantum Field Theory Under the Influence of External Conditions, QFEXT09