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The field theoretic derivation of the contact value theorem in planar geometries and its modification by the Casimir effect

D. S. Dean·R. R. Horgan
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Abstract

The contact value theorem for Coulomb gases in planar or film-like geometries is derived using a Hamiltonian field theoretic representation of the system. The case where the film is enclosed by a material of different dielectric constant to that of the film is shown to contain an additional Casimir-like term which is generated by fluctuations of the electric potential about its mean-field value.

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D. S. Dean, R. R. Horgan. 2003-09-26. The field theoretic derivation of the contact value theorem in planar geometries and its modification by the Casimir effect. https://doi.org/10.1103/physreve.68.061106

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