  In a recent work, Abdel-Aty and Obada [2002 J. Phys. B 35 807-813] analyzed
the quantum inversion of cold atoms in a microcavity, the motion of the atoms
being described quantum mechanically. Two-level atoms were assumed to interact
with a single mode of the cavity, and the off-resonance case was considered
(namely the atomic transition frequency is detuned from the single mode cavity
frequency). We demonstrate in this paper that this case is incorrectly treated
by these authors and we question therefore their conclusions.
