  We introduce a Hartmann system in the generalized Taub-NUT space with Abelian
monopole interaction. This quantum system includes well known Kaluza-Klein
monopole and MIC-Zwanziger monopole as special cases. It is shown that the
corresponding Schrodinger equation of the Hamiltonian is separable in both
spherical and parabolic coordinates. We obtain the integrals of motion of this
superintegrable model and construct the quadratic algebra and Casimir operator.
This algebra can be realized in terms of a deformed oscillator algebra and has
finite dimensional unitary representations (unirreps) which provide energy
spectra of the system. This result coincides with the physical spectra obtained
from the separation of variables.
