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Scattering theory for Stark Hamiltonians. (English) Zbl 0827.47006

Summary: We give an introduction to the spectral and scattering theory for Schrödinger 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.

MSC:

47A40 Scattering theory of linear operators
47A55 Perturbation theory of linear operators
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