A scattering-matrix approach to the eigenenergies of quantum dots

We present a scattering-matrix approach for the evaluation of the eigenenergies in closed periodic systems of quantum dots. The method can be used in a pre-selected window of energies and takes naturally into account the presence of evanescent modes. Together with its counterpart for scattering boundary conditions, it allows for the treatment of closed and open systems in a unique, consistent framework.