Stationary scattering theory on manifolds, II
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.
- Publication:
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arXiv e-prints
- Pub Date:
- February 2016
- DOI:
- 10.48550/arXiv.1602.07487
- arXiv:
- arXiv:1602.07487
- Bibcode:
- 2016arXiv160207487I
- Keywords:
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- Mathematical Physics;
- Mathematics - Differential Geometry
- E-Print:
- 41 pp