96-469 A.Kiselev
Some examples in one-dimensional ``geometric" scattering on manifolds (42K, LaTeX) Oct 2, 96
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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.

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