- 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
-
Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers
-
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.
- Files:
98-758.src(
desc ,
98-758.ps )