Thermal Casimir effect in ideal metal rectangular boxes

Details Thermal Casimir effect in ideal metal rectangular boxes Thermal Casimir effect in ideal metal rectangular boxes

2008-08-27

arxiv.org/abs/0808.3754v1

Eur.Phys.J.C57:823-834,2008

Physics

Quantum Physics

10 pages, 4 figures, to appear in Europ. Phys. J. C

Scientific paper

10.1140/epjc/s10052-008-0698-z

The thermal Casimir effect in ideal metal rectangular boxes is considered using the method of zeta functional regularization. The renormalization procedure is suggested which provides the finite expression for the Casimir free energy in any restricted quantization volume. This expression satisfies the classical limit at high temperature and leads to zero thermal Casimir force for systems with infinite characteristic dimensions. In the case of two parallel ideal metal planes the results, as derived previously using thermal quantum field theory in Matsubara formulation and other methods, are reproduced starting from the obtained expression. It is shown that for rectangular boxes the temperature-dependent contribution to the electromagnetic Casimir force can be both positive and negative depending on side lengths. The numerical computations of the scalar and electromagnetic Casimir free energy and force are performed for cubes

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