Exact Casimir interaction between eccentric cylinders

FERNANDO LOMBARDO; FRANCISCO D. MAZZITELLI; PAULA VILLAR

Leipzig

Congreso; Quantum fields under the influence of external conditions 07; 2007

Unversidad de Leipzig

We review recent work on the Casimir interaction energy between cylindrical shells. We include proposals for future experiments involving cylinders, such as a null experiment using quasi-concentric cylinders, a cylinder in front of a conducting plate and a cylindrical version of the rack and pinion powered by Casimir lateral force. We also present an exact formula for the theoretical evaluation of the vacuum interaction energy between eccentric cylindrical shells, and describe improved analytical and numerical evaluations for the particular case of concentric cylinders.