Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-10-13
J.Phys.A31:8661-8668,1998
Physics
High Energy Physics
High Energy Physics - Theory
REVTeX, 7 pages, no figures and tables, treatment of a dilute dielectric ball is revised, new references are added
Scientific paper
10.1088/0305-4470/31/43/009
The Casimir energy of a solid ball placed in an infinite medium is calculated by a direct frequency summation using the contour integration. It is assumed that the permittivity and permeability of the ball and medium satisfy the condition $\epsilon_1 \mu_1=\epsilon_2\mu_2$. Upon deriving the general expression for the Casimir energy, a dilute compact ball is considered $(\epsilon_1 -\epsilon_2)^2/(\epsilon_1+\epsilon_2)^2\ll 1$. In this case the calculations are carried out which are of the first order in $\xi ^2$ and take account of the five terms in the Debye expansion of the Bessel functions involved. The implication of the obtained results to the attempts of explaining the sonoluminescence via the Casimir effect is shortly discussed.
Brevik I. H.
Nesterenko V. V.
Pirozhenko Irina G.
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