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Casimir energy for a scalar field with a frequency dependent boundary condition

H. Falomir·K. Rébora·M. Loewe
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Abstract

We consider the vacuum energy for a scalar field subject to a frequency dependent boundary condition. The effect of a frequency cut-off is described in terms of an {\it incomplete} $ζ$-function. The use of the Debye asymptotic expansion for Bessel functions allows to determine the dominant (volume, area, >...) terms in the Casimir energy. The possible interest of this kind of models for dielectric media (and its application to sonoluminescence) is also discussed.

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H. Falomir, K. Rébora, M. Loewe. 2000-10-19. Casimir energy for a scalar field with a frequency dependent boundary condition. https://doi.org/10.1103/physrevd.63.025015

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