- 96-469 A.Kiselev
- Some examples in one-dimensional ``geometric" scattering on manifolds
Oct 2, 96
(auto. generated ps),
of related papers
Abstract. We consider ``geometric" scattering for a Laplace-Beltrami
operator on a compact Riemannian manifold inserted between two half-lines.
We discuss applicability and correctness of this model.
With an example, we show that such scattering problem may exhibit
unusual properties: the transition coefficient has a sequence of sharp peaks which
become more and more distant at high energy and otherwise turns