98-758 Gatel Y. and Yafaev D.
On solutions of the Schr\"odinger equation with radiation conditions at infinity: the long-range case (188K, PostScript) Dec 21, 98
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Abstract. We consider the homogeneous Schr\"odinger equation with a long-range potential and show that its solutions satisfying some a priori bound at infinity can asymptotically be expressed as a sum of incoming and outgoing distorted spherical waves. Coefficients of these waves are related by the scattering matrix. This generalizes a similar result obtained earlier in the short-range case.

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