Casimir energy of a dilute dielectric ball in the mode summation method

Details Casimir energy of a dilute dielectric ball in the mode summation method Casimir energy of a dilute dielectric ball in the mode summation method

1999-12-20

arxiv.org/abs/hep-th/9912176v2

Mod.Phys.Lett. A16 (2001) 1983-1995

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, REVTeX, no figures, no tables; presentation is made better, new references are added

Scientific paper

10.1142/S0217732301005291

In the $(\epsilon_1-\epsilon_2)^2$--approximation the Casimir energy of a dilute dielectric ball is derived using a simple and clear method of the mode summation. The addition theorem for the Bessel functions enables one to present in a closed form the sum over the angular momentum before the integration over the imaginary frequencies. The linear in $(\epsilon_1-\epsilon_2)$ contribution into the vacuum energy is removed by an appropriate subtraction. The role of the contact terms used in other approaches to this problem is elucidated.

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