Casimir Self-Stress on a Perfectly Conducting Cylindrical Shell

摘要

The Casimir stress on a perfectly conducting cylindrical shell, due to quantum field fluctuations (zero-point energy) in both the interior and exterior regions, is computed using a Green's dyadic formulation for the field strengths. To obtain a finite answer, a frequency cutoff must be inserted, but the result is independent of that cutoff. The Casimir stress is found to be attractive, the Casimir energy per unit length for a cylinder of radius a being: epsilon = -0.014/a exp 2 . (ERA citation 06:024522)