Casimir effect in dielectrics

Schwinger, Julian; DeRaad, Lester L.; Milton, Kimball A.

doi:10.1016/0003-4916(78)90172-0

Cited by 509 publications

(581 citation statements)

References 13 publications

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“…Its temperature dependence was first investigated in [211] and [212] for conducting planes with the result that the influence of temperature is just below what was measured in the experiment by Sparnaay [20]. Later on the temperature dependence had been intensively investigated theoretically, see for example [96,[213][214][215]. It is still an active area of research, see for instance a recent investigation of the thermodynamics of the Casimir effect with different temperatures in between and outside the plates, [216].…”

Section: The Casimir Effect At Nonzero Temperaturementioning

confidence: 99%

“…(1.3)). To do this we use the prescription by Schwinger, DeRaad and Milton that the limit ε → ∞ should be taken before setting l = 0 [214]. Then, introducing a new variable y = 2aq l in Eq.…”

Section: Two Semispacesmentioning

confidence: 99%

“…Such formulation of the problem was given first in [110], where the first order finite conductivity correction to the Casimir force was calculated (with an error in a numerical coefficient which was corrected in [222], see also [7,214]). In [223] the second order finite conductivity correction was found in frames of the Leontovich impedance approach which has seen rapid progress recently [224,225].…”

Section: Plasma Model Approach For Two Semispacesmentioning

confidence: 99%

“…Such a representation was suggested in [212,214] for other purposes. This approach is discussed below.…”

Section: Conductivity and Temperature: Two Semispacesmentioning

confidence: 99%

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New developments in the Casimir effect

2001

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We provide a review of both new experimental and theoretical developments in the Casimir effect. The Casimir effect results from the alteration by the boundaries of the zero-point electromagnetic energy. Unique to the Casimir force is its strong dependence on shape, switching from attractive to repulsive as function of the size, geometry and topology of the boundary. Thus the Casimir force is a direct manifestation of the boundary dependence of quantum vacuum. We discuss in depth the general structure of the infinities in the field theory which are removed by a combination of zeta-functional regularization and heat kernel expansion. Different representations for the regularized vacuum energy are given. The Casimir energies and forces in a number of configurations of interest to applications are calculated. We stress the development of the Casimir force for real media including effects of nonzero temperature, finite conductivity of the boundary metal and surface roughness. Also the combined effect of these important factors is investigated in detail on the basis of condensed matter physics and quantum field theory at nonzero temperature. The experiments on measuring the Casimir force are also reviewed, starting first with the older measurements and finishing with a detailed presentation of modern precision experiments. The latter are accurately compared with the theoretical results for real media. At the end of the review we provide the most recent constraints on the corrections to Newtonian gravitational law and other hypothetical long-range interactions at submillimeter range obtained from the Casimir force measurements.

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Section: The Casimir Effect At Nonzero Temperaturementioning

confidence: 99%

Section: Two Semispacesmentioning

confidence: 99%

Section: Plasma Model Approach For Two Semispacesmentioning

confidence: 99%

“…Such a representation was suggested in [212,214] for other purposes. This approach is discussed below.…”

Section: Conductivity and Temperature: Two Semispacesmentioning

confidence: 99%

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New developments in the Casimir effect

2001

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“…Casimir effects have also been derived and interpreted in terms of source fields arising from fluctuations within matter in both conventional [16] and nonconventional [20] quantum electrodynamics. These interpretations have spawned the evolution of two views which have proved to be equivalent in the limited systems considered to date.…”

Section: Introductionmentioning

confidence: 99%

A Gedanken Spacecraft that Operates Using the Quantum Vacuum (Dynamic Casimir Effect)

Maclay

Forward²

2004

Foundations of Physics

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Conventional rockets are not a suitable technology for deep space missions. Chemical rockets require a very large weight of propellant, travel very slowly compared to light speed, and require significant energy to maintain operation over periods of years. For example, the 722 kg Voyager spacecraft required 13,600 kg of propellant to launch and would take about 80,000 years to reach the nearest star, Proxima Centauri, about 4.3 light years away. There have been various attempts at developing ideas on which one might base a spacecraft that would permit deep space travel, such as spacewarps. In this paper we consider another suggestion from science fiction and explore how the quantum vacuum might be utilized in the creation of a novel spacecraft. The spacecraft is based on the dynamic Casimir effect, in which electromagnetic radiation is emitted when an uncharged mirror is properly accelerated in the vacuum. The radiative reaction produces a dissipative force on the mirror that tends to resist the acceleration of the mirror. This force can be used to accelerate a spacecraft attached to the mirror. We also show that, in principal, one could obtain the power to operate the accelerated mirror in such a spacecraft using energy extracted from the quantum vacuum using the standard Casimir effect with a parallel plate geometry. Unfortunately the method as currently conceived generates a miniscule thrust, and is no more practical than a spacewarp, yet it does provide an interesting demonstration of our current understanding of the physics of the quantized electromagnetic field in vacuum. * Electronic address: jordanmaclay@quantumfields.com

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Long‐Range Interparticle Interactions

Salam

2016

Reviews in Computational Chemistry

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Casimir effect in dielectrics

Cited by 509 publications

References 13 publications

New developments in the Casimir effect

New developments in the Casimir effect

A Gedanken Spacecraft that Operates Using the Quantum Vacuum (Dynamic Casimir Effect)

Long‐Range Interparticle Interactions

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