  Rotating wave approximation (RWA) plays a key rule in quantum optics to solve
some Schr\"{o}dinger equation approximately. For example, it is well known that
RWA has been used to calculate the transition probability. However, so far no
one shows the validity of RWA. Recently Larson [J. Larson, Phys. Rev. Lett.
108, 033601 (2012)] gave the first example showing that the application of RWA
in the Jaynes-Cummings model may lead to false conclusions. In this paper, we
analytically and numerically show that the application of RWA leads to false
conclusions about the transition probability for the near or exact resonance.
