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Scattering theory for Stark Hamiltonians
Authors:Arne Jensen
Institution:(1) Institut Mittag-Leffler, Aurav?gen 17, S-18262 Djursholm, Sweden
Abstract:We give an introduction to the spectral and scattering theory for Schr?dinger operators. An abstract short range scattering theory is developed. It is applied to perturbations of the Laplacian. Particular attention is paid to the study of Stark Hamiltonians. The main result is an explanation of the discrepancy between the classical and the quantum scattering theory for one-dimensional Stark Hamiltonians.
Keywords:Spectral theory  scattering theory  Schr?dinger operators
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