Abstract: The comments on the quantum phase factor and quantum adiabatic theorem by H. Z. Li are shown to be inconsistent with the real-world cases and thus incorrect. It is shown that the condition R/ t→0 cannot account for ＂why the quantum adiabatic theorem does not hold for the energy degenerate case＂ ,and can lead to the erroneous statement that ＂the wave function without the adiabatic phase factor satisfies the time-dependent Schroedinger equation＂.

Key words: A-B effect, Berry phase, L-R phase, quantum adiabatic theorem