  We study the stationary problem of a charged Dirac particle in (2+1)
dimensions in the presence of a uniform magnetic field B and a singular
magnetic tube of flux Phi = 2 pi kappa/e. The rotational invariance of this
configuration implies that the subspaces of definite angular momentum l+1/2 are
invariant under the action of the Hamiltonian H. We show that, for l different
from the integer part of kappa, the restriction of H to these subspaces,
  H_l is essentially self-adjoint, while for l equal to the integer part of
kappa, H_l admits a one-parameter family of self-adjoint extensions (SAE). In
the later case, the functions in the domain of H_l are singular (but
square-integrable) at the origin, their behavior being dictated by the value of
the parameter gamma that identifies the SAE. We also determine the spectrum of
the Hamiltonian as a function of kappa and gamma, as well as its closure.
