Electronic Journal of Differential Equations, Vol. 2006(2006), No. 20, pp. 1-12. Title: Boundary stabilization of a coupled system of nondissipative Schrodinger equations Author: Hamchi Ilhem (Univ. of Batna, Algeria) Abstract: We use the multiplier method and the approach in [1] to study the problem of exponential stabilization of a coupled system of two Schrodinger equations. Submitted June 20, 2005. Published February 9, 2006. Math Subject Classifications: 93D15, 35Q40, 42B15. Key Words: Boundary stabilization; Schrodinger equation; multiplier method