On Quantum Radiation from a Moving Body with Finite Refractive Index

Barton, G.; Eberlein, Claudia

doi:10.1006/aphy.1993.1081

Cited by 129 publications

(143 citation statements)

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“…Moreover, it provides a simple ultra-violet regularization of the force (alternatively, one may employ the point-splitting method in the time domain [10]). When taking the Fourier transform of (6), we replace T 11 by the r.-h.-s. of (8). As discussed above, the terms independent of δq from each side of the plate cancel in the symmetrical case.…”

Section: Dirichlet Bcmentioning

confidence: 81%

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Dynamical Casimir effect with Dirichlet and Neumann boundary conditions

Alves

Farina²,

Neto³

2003

J. Phys. A: Math. Gen.

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We derive the radiation pressure force on a non-relativistic moving plate in 1+1 dimensions. We assume that a massless scalar field satisfies either Dirichlet or Neumann boundary conditions (BC) at the instantaneous position of the plate. We show that when the state of the field is invariant under time translations, the results derived for Dirichlet and Neumann BC are equal. We discuss the force for a thermal field state as an example for this case. On the other hand, a coherent state introduces a phase reference, and the two types of BC lead to different results.

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Section: Dirichlet Bcmentioning

confidence: 81%

“…The amount of mechanical energy dissipated is converted into pairs of real particles [8]. These radiation reaction forces on moving bodies may appear even in the case of only one moving wall [9]- [11].…”

Section: Introductionmentioning

confidence: 99%

Dynamical Casimir effect with Dirichlet and Neumann boundary conditions

Alves

Farina²,

Neto³

2003

J. Phys. A: Math. Gen.

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“…It should be noted that the above derivations were performed for the perfectly reflecting walls. The case of the wall with any finite (but nondispersive) refractive index was considered in [170] for the scalar field in one-dimensional space. The methods, elaborated in [170] can be generalized, however, for the electromagnetic field in four-dimensional space-time.…”

Section: Dynamical Casimir Effectmentioning

confidence: 99%

“…The other part of the radiative reaction force exerted on a free mirror, which is not dissipative but of reactive nature, was considered in [170,174]. The existence of this force leads to corrections of the inertial mass of the mirrors.…”

Section: Dynamical Casimir Effectmentioning

confidence: 99%

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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“…They obtained expressions for the vacuum radiation pressure on the mirror. Barton and Eberlein extended the analysis using a 1 dimensional scalar field to a moving body with a finite refractive index [28]. The vacuum radiation pressure and the radiated spectrum for a non-relativistic, perfectly reflecting, infinite, plane mirror was computed by Neto and Machado for the electromagnetic field in three dimensions, and shown to obey the fluctuation-dissipation theorem from linear response theory [29] [24].…”

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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On Quantum Radiation from a Moving Body with Finite Refractive Index

Cited by 129 publications

References 0 publications

Dynamical Casimir effect with Dirichlet and Neumann boundary conditions

Dynamical Casimir effect with Dirichlet and Neumann boundary conditions

New developments in the Casimir effect

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

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