Global approach with cut-off exponential function to spherical Casimir effect

摘要

We presented a method to calculate the spherical electromagnetic Casimir effect through the use of a regularization via the cut-off exponential function in a non-ambiguous way from the start. We propose the use of two cut-off parameters: one to regularize the sum of orders of the Bessel function, and the other to regularize the integral related to Bessel-function zeros. Both the interior and exterior contributions calculated have revealed all cut-off parameters dependence and give the results previously obtained in the literature.