Reply to 'Comment on "Overcoming misconceptions in quantum mechanics with the time evolution operator"'

We contend that the statement attributing to us the implication that the wave functions ψI(x, t) and ψII(x, t) are different cannot not be logically supported. On the contrary, throughout our paper 'Overcoming misconceptions in quantum mechanics with the time evolution operator' (Garcia Quijas and Arévalo Aguilar 2007 Eur. J. Phys. 28 147) we constructed an argument to give support to the statement that the two wave functions ψI(x, t) and ψII(x, t) are the same. In other words, in our paper we really did appreciate that methods I and II lead to identical results. (letters and comments)