TY - JOUR A1 - Bimonte, Giuseppe A1 - Haakh, Harald Richard A1 - Henkel, Carsten A1 - Intravaia, Francesco T1 - Optical BCS conductivity at imaginary frequencies and dispersion energies of superconductors N2 - We present an efficient expression for the analytic continuation to arbitrary complex frequencies of the complex optical and ac conductivity of a homogeneous superconductor with an arbitrary mean free path. Knowledge of this quantity is fundamental in the calculation of thermodynamic potentials and dispersion energies involving type-I superconducting bodies. When considered for imaginary frequencies, our formula evaluates faster than previous schemes involving Kramers-Kronig transforms. A number of applications illustrate its efficiency: a simplified low-frequency expansion of the conductivity, the electromagnetic bulk self-energy due to longitudinal plasma oscillations, and the Casimir free energy of a superconducting cavity. Y1 - 2010 UR - http://iopscience.iop.org/1751-8121/ U6 - https://doi.org/10.1088/1751-8113/43/14/145304 SN - 1751-8113 ER -