Abstract: A reverse algorithm is presented for computation of one-dimensional quantum scattering. It is assumed that there is only the transmitted wave in transmission side. The Schroedinger equation is solved from the transmission side to the incident side according to the initial value problem, the real part and the imaginary part of the wave function, probability density function and then in the incident side, the maximum and minimum value of the function are obtained, the transmittance and reflectance arealso calculated simply. Variation of the quantum phase in scattering process is studied by using this method, an interesting phenomenon of π-jump＇ s in the reflection wave phase at transparent points is found.

Key words: quantum scattering, reverse algorithm, quantum phase