  We propose a new approach for modeling the quantum ring single particle
energy spectrum. The approach is based on separation of variables in the
Schr\"odinger equation in oblate spheroidal coordinates. We consider a model of
a spheroidal quantum ring with infinite walls. Our simple model allowed 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. The spectrum can demonstrate
parabolic or non-parabolic dependence on the magnetic quantum number for
different shapes of the ring
