96-469 A.Kiselev

Some examples in one-dimensional ``geometric" scattering on manifolds (42K, LaTeX) Oct 2, 96

Abstract , Paper (src), View paper (auto. generated ps), Index 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 to zero.

Files: 96-469.tex