  The quantum description of an atom with a magnetic quadrupole moment in the
presence of a time-dependent magnetic field is analysed. It is shown that the
time-dependent magnetic field induces an electric field that interacts with the
magnetic quadrupole moment of the atom and gives rise to a Landau-type
quantization. It is also shown that a time-independent Schr\"odinger equation
can be obtained, i.e., without existing the interaction between the magnetic
quadrupole moment of the atom and the time-dependent magnetic field, therefore,
the Schr\"odinger equation can be solved exactly. It is also analysed this
system subject to scalar potentials.
