 96469 A.Kiselev
 Some examples in onedimensional ``geometric" scattering on manifolds
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Oct 2, 96

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Abstract. We consider ``geometric" scattering for a LaplaceBeltrami
operator on a compact Riemannian manifold inserted between two halflines.
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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