Casimir self-stress on a perfectly conducting spherical shell

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

doi:10.1016/0003-4916(78)90161-6

Cited by 298 publications

(311 citation statements)

References 8 publications

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“…It had been confirmed with higher precision in [96,93] using Green function methods. In the bag model the vacuum energy of spinors was calculated in [133][134][135][136] and more recently in [137,138].…”

Section: Results On the Casimir Effect On A Spherementioning

confidence: 72%

“…The conditions (3.87) appear to be incorporated in a 'minimal' manner. In that respect, this second approach resembles the so called dyadic formalism which has successfully been used in the calculation of the Casimir energy in a spherical geometry [93].…”

Section: Quantization In the Presence Of Boundary Conditionsmentioning

confidence: 99%

“…The numbers in E sphere 0 are a result of numerical computation in [95] whereby the one loop contribution is in fact that of Boyer, the number being taken from [93]. The common features of both equations is that the radiative correction is the largest possible, i.e., it is proportional to the first power of the fine structure constant and the first power of the ratio of the two geometric quantities, namely the distance a the radius R respectively to the Compton wavelength of the electron λ c = /(mc).…”

Section: Radiative Corrections To the Casimir Effectmentioning

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: Results On the Casimir Effect On A Spherementioning

confidence: 72%

Section: Quantization In the Presence Of Boundary Conditionsmentioning

confidence: 99%

Section: Radiative Corrections To the Casimir Effectmentioning

confidence: 99%

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New developments in the Casimir effect

2001

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“…As can be seen from Eq. (4), the coupling tensor ν (1) describes the linear contribution of the interaction, and the sequence ν (2) ,ν (3) , . .…”

Section: Field Quantizationmentioning

confidence: 99%

“…The general theory of forces between parallel dielectrics was worked out by Lifshitz et al [2]. Some years later, the theory of the Casimir effect was rederived by Schwinger et al [3]. Later, this theory was extended to systems consisting of some dielectric layers [4,5], and precision experiments on measuring the Casimir force were performed [6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Finite-temperature Casimir effect in the presence of nonlinear dielectrics

2011

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Starting from a Lagrangian, the electromagnetic field in the presence of a nonlinear dielectric medium is quantized using path-integral techniques, and correlation functions of different fields are calculated. The susceptibilities of the nonlinear medium are obtained, and their relations to coupling functions are determined. Finally, the Casimir energy and force in the presence of a nonlinear medium at finite temperature are calculated.

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Classical and fluctuation‐induced electromagnetic interactions in micron‐scale systems: designer bonding, antibonding, and Casimir forces

et al. 2014

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Whether intentionally introduced to exert control over particles and macroscopic objects, such as for trapping or cooling, or whether arising from the quantum and thermal fluctuations of charges in otherwise neutral bodies, leading to unwanted stiction between nearby mechanical parts, electromagnetic interactions play a fundamental role in many naturally occurring processes and technologies. In this review, we survey recent progress in the understanding and experimental observation of optomechanical and quantumfluctuation forces. Although both of these effects arise from exchange of electromagnetic momentum, their dramatically different origins, involving either real or virtual photons, lead to different physical manifestations and design principles. Specifically, we describe recent predictions and measurements of attractive and repulsive optomechanical forces, based on the bonding and antibonding interactions of evanescent waves, as well as predictions of modified and even repulsive Casimir forces between nanostructured bodies. Finally, we discuss the potential impact and interplay of these forces in emerging experimental regimes of micromechanical devices.

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Casimir self-stress on a perfectly conducting spherical shell

Cited by 298 publications

References 8 publications

New developments in the Casimir effect

New developments in the Casimir effect

Finite-temperature Casimir effect in the presence of nonlinear dielectrics

Classical and fluctuation‐induced electromagnetic interactions in micron‐scale systems: designer bonding, antibonding, and Casimir forces

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