  Solutions of the Schr\"odinger equation are obtained for an electron in a
two-dimensional circular semiconductor quantum ring in the presence of both
external uniform constant magnetic field and the Rashba and Dresselhaus
spin-orbit interactions of equal strengths. Confinement is simulated by a
realistic potential well of a finite depth. The dependence of the energy levels
on a magnetic field strength, strength of spin-orbit interaction and a relative
ring width is presented.
