Influence of the shape of a quantum ring on the structure of its energy spectrum

We propose a new approach for modeling the quantum ring single particle energy spectrum. The approach is based on separation of variables in the Schrödinger equation in oblate spheroidal coordinates. We consider a model of a spheroidal quantum ring with infinite walls. Our simple model allows us to study the spectra for quantum rings of different shapes. The spectrum is calculated for the ground and several excited states and the ring shape dependence of the spectrum is demonstrated.