The generalized Abel-Plana formula with applications to Bessel functions and Casimir effect

AA Saharian - arXiv preprint arXiv:0708.1187, 2007 - arxiv.org
One of the most efficient methods for the evaluation of the vacuum expectation values for
physical observables in the Casimir effect is based on using the Abel-Plana summation …

Proximity force approximation for the Casimir energy as a derivative expansion

CD Fosco, FC Lombardo, FD Mazzitelli - Physical Review D—Particles, Fields …, 2011 - APS
The proximity force approximation (PFA) has been widely used as a tool to evaluate the
Casimir force between smooth objects at small distances. In spite of being intuitively easy to …

Thermal corrections to the Casimir effect

I Brevik, SA Ellingsen, KA Milton - New Journal of Physics, 2006 - iopscience.iop.org
The Casimir effect, reflecting quantum vacuum fluctuations in the electromagnetic field in a
region with material boundaries, has been studied both theoretically and experimentally …

Worldline algorithms for Casimir configurations

H Gies, K Klingmüller - Physical Review D—Particles, Fields, Gravitation, and …, 2006 - APS
We present improved worldline numerical algorithms for high-precision calculations of
Casimir interaction energies induced by scalar-field fluctuations with Dirichlet boundary …

Casimir forces and non-Newtonian gravitation

R Onofrio - New Journal of Physics, 2006 - iopscience.iop.org
The search for non-relativistic deviations from Newtonian gravitation can lead to new
phenomena signalling the unification of gravity with the other fundamental interactions …

[HTML][HTML] Casimir Effect in MEMS: Materials, Geometries, and Metrologies—A Review

B Elsaka, X Yang, P Kästner, K Dingel, B Sick… - Materials, 2024 - mdpi.com
Casimir force densities, ie, force per area, become very large if two solid material surfaces
come closer together to each other than 10 nm. In most cases, the forces are attractive. In …

Casimir forces between cylinders and plates

SJ Rahi, T Emig, RL Jaffe, M Kardar - Physical Review A, 2008 - APS
We study collective interaction effects that result from the change of free quantum
electrodynamic field fluctuations by one-and two-dimensional perfect metal structures. The …

Exact Casimir interaction between eccentric cylinders

DAR Dalvit, FC Lombardo, FD Mazzitelli… - Physical Review A—Atomic …, 2006 - APS
The Casimir force is the ultimate background in ongoing searches for extragravitational
forces in the micrometer range. Eccentric cylinders offer favorable experimental conditions …

Repulsive and attractive Casimir forces in a glide-symmetric geometry

AW Rodriguez, JD Joannopoulos, SG Johnson - Physical Review A—Atomic …, 2008 - APS
We describe a three-dimensional geometry in which both attractive and repulsive Casimir
forces arise using ordinary metallic materials, as computed via an exact numerical method …

Towards a precision measurement of the Casimir force in a cylinder-plane geometry

M Brown-Hayes, DAR Dalvit, FD Mazzitelli, WJ Kim… - Physical Review A …, 2005 - APS
We report on a proposal aimed at measuring the Casimir force in the cylinder-plane
configuration. The Casimir force is evaluated including corrections due to finite parallelism …