On Casimir pressure, the Lorentz force and black body radiation

Agustín E. González

Physica A: Statistical Mechanics and its Applications, 1985, vol. 131, issue 1, 228-236

Abstract: It is shown that the Casimir attraction, including the temperature dependence, between two metallic plates can be derived from the Lorentz force acting on the surfaces of the plates. The force per unit area acting on a surface turns out to be a pressure, i.e. directed toward the bulk of the metal, and infinite in magnitude for a perfect conductor. The Casimir formula for the attraction between the plates can be obtained when we consider the pressure acting on the other side of the plates. It is then concluded that any conductor, at least in the shape of a plate, experiences a compression; the better the conductor, the greater that compression is. It is also noticed that there should be a repulsion between two semi-infinite metallic slabs separated by a planar gap. The relation of these results to the Lifshitz general theory of attraction between solids is also discussed.

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:131:y:1985:i:1:p:228-236

DOI: 10.1016/0378-4371(85)90088-3

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