  We solve exactly the Schr\"odinger equation for the free-particle, the
pseudo-harmonic oscillator and the Mie-type potential in three dimensions with
the Dunkl derivative. The equations for the radial and angular parts are
obtained by using spherical coordinates and separation of variables. The wave
functions and the energy spectrum for these potentials are derived in an
analytical way and it is shown that our results are adequately reduced to those
previously reported when we remove the Dunkl derivative parameters.
