Long range scattering with Stark effect and almost periodic potentials

Denis A. W. White

International Journal of Mathematics and Mathematical Sciences, 1992, vol. 15, 1-8

Abstract:

Spectral and scattering theory is discussed for the Stark effect Hamiltonians H 0 = − ( 1 / 2 ) Δ − x 1 and H = H 0 + V where V is a long range perturbation. Most significantly, in one dimension, and for V consisting of a slowly decaying term and an almost periodic term, the two Hilbert space wave operators (of Isozaki and Kitada) are shown to exist and be complete by Enss's time dependent method.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:902975

DOI: 10.1155/S016117129200019X

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