  We consider a charged particle moving in a two dimensional plane in the
presence of a background magnetic field perpendicular to the plane, i.e. the
Landau system in a phase-space where the coordinates and momenta both follow
canonical noncommutative algebra. A set of generalized transformations is
derived in this paper which maps the NC problem to an equivalent commutative
problem. In this set up, we study the Aharonov-Bohm effect and the Landau
levels. For the Aharonov-Bohm effect, the phase-shift is found to contain
corrections due to phase-space noncommutativity and also depends on the scaling
parameter appearing in the generalized transformations. The result agrees with
those in the literature upto first order in the noncommutative parameters when
proper choice of the scaling parameter is taken. We then obtain the magnetic
length and degeneracy of the Landau levels, both are seen to admit NC
corrections. The Landau levels are seen to get altered due to phase-space
noncommutativity as well. This energy spectrum of the Landau system is computed
from two different perspectives, namely the explicit NC variable approach and
the commutative-equivalent approach. The results match exactly, solidifying the
evidence in favour of the equivalence of the two approaches.
