Exploring the quantum vacuum with cylinders

Abstract

We review recent work on the Casimir interaction energy between cylindrical shells. We include proposals for future experiments involving cylinders, such us a null experiment using quasi-concentric cylinders, a cylinder in front 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.

11 pages, 6 figures, Proceedings of QFEXT07. To be published in J. Phys. A

References in corpus (16)

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Cited by in corpus (16)

• Casimir Wormholes in Modified Symmetric Teleparallel Gravity
• Non-contact gears: II. Casimir torque between concentric corrugated cylinders for the scalar case
• Casimir interaction between a cylinder and a plate at finite temperature: Exact results and comparison to proximity force approximation
• First analytic correction to the proximity force approximation in the Casimir effect between two parallel cylinders
• Numerical evaluation of the Casimir interaction between cylinders
• Quantum trapping and rotational self-alignment in triangular Casimir microcavities
• Casimir-Lifshitz Interaction between Dielectric Heterostructures
• Effect of the Heterogeneity of Metamaterials on Casimir-Lifshitz Interaction
• The Casimir Torque on a Cylindrical Gear
• On the accuracy of the PFA: analogies between Casimir and electrostatic forces
• Casimir interaction between two concentric cylinders at nonzero temperature
• Casimir Wormholes in Brans-Dicke Theory
• Casimir interaction between spherical and planar plasma sheets
• Casimir torque between two inhomogeneous semi-transparent concentric cylinders
• On the Casimir interaction between two smoothly deformed cylindrical surfaces
• Lateral Casimir forces on parallel plates and concentric cylinders with corugations