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Casimir energy of a dilute dielectric ball at zero and finite temperature

V. V. Nesterenko·G. Lambiase·G. Scarpetta
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Abstract

The basic results in calculations of the thermodynamic functions of electromagnetic field in the background of a dilute dielectric ball at zero and finite temperature are presented. Summation over the angular momentum values is accomplished in a closed form by making use of the addition theorem for the relevant Bessel functions. The behavior of the thermodynamic characteristics in the low and high temperature limits is investigated. The $T^3$-term in the low temperature expansion of the free energy is recovered (this term has been lost in our previous calculations).

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V. V. Nesterenko, G. Lambiase, G. Scarpetta. 2001-11-27. Casimir energy of a dilute dielectric ball at zero and finite temperature. https://doi.org/10.1142/s0217751x02010121

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