A Relativistic Model of the Isotropic Oscillator

For a three-dimensional model of the harmonic oscillator in the relativistic configurational r-representation wave functions in the spherical coordinates r = (r, Θ, ?) are found. The generating function, orthogonality and various recurrence relations for the radial part of the wave function are obtained. The radial and orbital quantum numbers raising and lowering operators are defined and the dynamical symmetry group is constructed by means of the Infeld-Hull factorization method.