Abstract
We consider the quantum states for charged particles bound to their own set of images in wedge shaped voids and protrusions of nanoscale dimensions. Localized images only exist for wedge opening angles that are whole fractions of 2 pi, but the potential we give here is exact for any opening angle. We outline the procedure leading to the determination of the bound state energies and eigenfunactions, but display recent results only for the ground state. We point out that at the nanoscale, the charge states so found could be useful for a number of applications, including qubits in triangular grooves for quantum information processing and in the case of protrusions in metallic nano-probes.