Asymptotic completeness for a new class of Stark effect Hamiltonians |
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| Authors: | Arne Jensen |
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| Affiliation: | (1) Department of Mathematics, University of Kentucky, 40506-0027 Lexington, KY, USA;(2) Matematisk Institut, Aarhus Universitet, DK-8000 Aarhus C, Denmark |
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| Abstract: | Existence and completeness of the wave operators is shown for the Stark effect Hamiltonian in one dimension with a potentialV =W , whereW is a bounded function with four bounded derivatives. This class of potentials include some almost periodic functions and periodic functions with average zero over a period (Stark-Wannier Hamiltonians). In the last section we discuss classical particle scattering for the same class of potentials.Partially supported by NSF-grant DMS-8401748 |
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