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

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).

4 pages, LaTeX, no figures. Contribution to the Proceedings of the Fifth Workshop on Quantum Field Theory under the Influence of External Conditions, 10-14 Sept. 2001, Leipzig. Editor: M. Bordag

References in corpus (3)

• Casimir's energy of a conducting sphere and of a dilute dielectric ball
• Casimir energy of a dilute dielectric ball in the mode summation method
• Casimir effect for a dilute dielectric ball at finite temperature

Cited by in corpus (3)

• Casimir effect in quadratic theories of gravity
• Casimir effect in Post-Newtonian Gravity with Lorentz-violation
• Casimir effect in Extended Theories of Gravity