Abstract: By the propagator method in quantum mechanics,the evolution of Bose-Einstein condensates matter in one-dimensional infinite deep trap of the half space is studied. The reflection phenomenon and the self-interference pattern are observed. Due to changings of the initial position,the width and velocity of condensed matter,different interference pattern is formed in space. We use the volatility characteristic of matter waves to give a good description,at the same time,by using particle characteristic of matter waves,we explain well the collision problem of matter waves in the well wall.

Key words: matter waves, propagator method, interference