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The properties of Rashba wave function in the planar one-dimensional waveguide are studied, and the following results are obtained. Due to the Rashba effect, the plane waves of electron with the energy E divide into two kinds of wave with the wave vectors k1=k0+k? and k2=k0-k?, where k? is proportional to the Rashba coefficient, and their spin orientations are +?/2 (spin up) and -?/2 (spin down) respect...