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Zap. Nauchn. Sem. POMI, 1995 Volume 230, Pages 103–114 (Mi znsl3768)

Scattering on an anisotropic potential in a constant electric field

E. L. Korotyaeva, A. B. Pushnitskiib

a Saint-Petersburg State Electrotechnical University
b Saint-Petersburg State University

Abstract: The scattering of a particle on an anisotropic potential in a constant electric field is considered. Conditions on the anisotropic decay of the potential that insure asymptotic completeness without modifications of the wave operators are obtained. The paper uses the mixed approach wherein the Enss method is applied to one part of the variables, whereas the other part is treated using the smoothness technique. Bibl. 12 titles.

UDC: 517.9

Received: 10.09.1995


 English version:
Journal of Mathematical Sciences (New York), 1998, 91:2, 2768–2775

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