For a class of long-range potentials, including ultra-strong perturbations of the attractive Coulomb potential in dimension d≥3, we introduce a stationary scattering theory for Schrödinger operators which is regular at zero energy. In particular it is well defined at this energy, and we use it to establish a characterization there of the set of generalized eigenfunctions in an appropriately adapted Besov space generalizing parts of [DS1]. Principal tools include global solutions to the eikonal equation and strong radiation condition bounds.

Originalsprog | Engelsk |
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Udgiver | Department of Mathematics, Aarhus University |
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Antal sider | 37 |
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Status | Udgivet - 2012 |
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Navn | Preprints |
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Nummer | 3 |
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ISSN | 1397-4076 |
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