  A finite-difference solution of the Schroedinger equation for negative donor
centers D^- in two dimensions is presented. Our approach is of exact nature and
allows us to resolve a discrepancy in the literature on the ground state of a
negative donor. Detailed calculations of the energies for a number of states
show that for field strengths less than \gamma=0.117 a.u. the donor possesses
one bound state, for 0.117<\gamma<1.68 a.u. there exist two bound states and
for field strengths \gamma>1.68 a.u. the system possesses three bound states.
Further relevant characteristics of negative donors in magnetic fields are
provided.
