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arXiv · 1602.07487

Stationary scattering theory on manifolds, II

K. Ito·E. Skibsted
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Abstract

Based on our previous study [IS2] we develop fully the stationary scattering theory for the Schrodinger operator on a manifold possessing an escape function. A particular class of examples are manifolds with Euclidean and/or hyperbolic ends, possibly with unbounded and non-smooth obstacles. We develop the theory largely along the classical lines [Sa, Co] and derive in particular WKB- asymptotics of appropriate generalized eigenfunctions. As an application we solve a conjecture of [HPW] on cross-ends transmissions in its natural and strong form within the framework of our theory.

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K. Ito, E. Skibsted. 2016-02-24. Stationary scattering theory on manifolds, II. https://arxiv.org/abs/1602.07487

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