New developments in the Casimir effect

  title={New developments in the Casimir effect},
  author={Michael Bordag and Umar Mohideen and Vladimir M. Mostepanenko},
  journal={Physics Reports},

The Casimir force between real materials: Experiment and theory

The physical origin of the Casimir force is connected with the existence of zero-point and thermal fluctuations. The Casimir effect is very general and finds applications in various fields of

The Zeta Function Approach to Casimir Energy Calculations in Higher Dimensions

The vacuum fluctuations give rise to a number of phenomena; however, the the Casimir Effect is arguably the most salient manifestation of the quantum vacuum. In its most basic form it is realized

Experiment and theory in the Casimir effect

Casimir effect is the attractive force which acts between two plane parallel, closely spaced, uncharged, metallic plates in vacuum. This phenomenon was predicted theoretically in 1948 and reliably

Experiment, theory and the Casimir effect

Several problems at the interface between the field-theoretical description of the Casimir effect and experiments on measuring the Casimir force are discussed. One of these problems is connected with

Thermal corrections to the Casimir effect

The Casimir effect, reflecting quantum vacuum fluctuations in the electromagnetic field in a region with material boundaries, has been studied both theoretically and experimentally since 1948. The

Fermionic Casimir effect for parallel plates in the presence of compact dimensions with applications to nanotubes

We evaluate the Casimir energy and force for a massive fermionic field in the geometry of two parallel plates on background of Minkowski spacetime with an arbitrary number of toroidally compactified

The Casimir effect as a scattering problem

We show that Casimir-force calculations for a finite number of non-overlapping obstacles can be mapped onto quantum-mechanical billiard-type problems which are characterized by the scattering of a

Attractive and Repulsive Casimir–Lifshitz Forces, QED Torques, and Applications to Nanomachines

This chapter discusses recent developments in quantum electrodynamical (QED) phenomena, such as the Casimir effect, and their use in nanomechanics and nanotechnology in general. Casimir–Lifshitz



The Casimir Effect and Its Applications

The Casimir effect is analyzed. This effect consists of a polarization of the vacuum of quantized fields which arises as a result of a change in the spectrum of vacuum oscillations when the

Path-integral approach to the dynamic Casimir effect with fluctuating boundaries

A path-integral formulation is developed for the dynamic Casimir effect. It allows us to study small deformations in space and time of the perfectly reflecting (conducting) boundaries of a cavity.

Investigation of the temperature dependence of the Casimir force between real metals

We investigate the Casimir force acting between real metals at nonzero temperature. It is shown that the zero-frequency term of Lifshitz formula has interpretation problem in the case of real metal

Phenomenological model for Casimir attraction of a metal film

The force of surface interaction (Casimir effect) between a bulk conductor and a metal film deposited on a dielectric substrate is studied by the method of quantum field theory. The film thickness is

The Casimir Force Between Plates with Small Deviations from Plane Parallel Geometry

We present a general calculation of the corrections to the Casimir force between plates with small deviations from plane parallel geometry of the arbitrary type. These corrections are considered up

Thermodynamics of the Casimir effect

Abstract:A complete thermodynamic treatment of the Casimir effect is presented. Explicit expressions for the free and the internal energy, the entropy and the pressure are discussed. As an example we


Electromagnetic Casimir energies are a quantum effect proportional to $\ensuremath{\Elzxh}.$ We show that in certain cases one can obtain an exact semiclassical expression for them that depends only