Interaction Energy of an Anisotropically Polarizable Atom and a Polarizable Annular Dielectric

Investigations involving the interaction energy of an anisotropically polarizable atom and a polarizable annular dielectric has been limited, until now, to the atom being confined on the axis of symmetry. We show that interaction energy admits exact solutions in terms of complete elliptic integrals and our results generalize the interaction energy for the first time when the atom is off the axis of the symmetry. The generalized interaction energy will allow the stability analysis of the atom.