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

Source: [Scalar Casimir Energies for Separable Coordinate Systems: Application to Semi-transparent Planes in an Annulus](<https://www.sota2.com/research/paper/68fa36261e209131ce8a73b9>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:53:57.215Z

Authors: J. Wagner, K. A. Milton, K. Kirsten

Published: 2009-12-11T22:51:45.000Z

## 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.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0912.2374>)

[PDF](<https://arxiv.org/pdf/0912.2374.pdf>)