Scattering on an anisotropic potential in a constant electric field
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 25, Tome 230 (1995), pp. 103-114
E. L. Korotyaev; A. B. Pushnitskii. Scattering on an anisotropic potential in a constant electric field. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 25, Tome 230 (1995), pp. 103-114. http://geodesic.mathdoc.fr/item/ZNSL_1995_230_a8/
@article{ZNSL_1995_230_a8,
     author = {E. L. Korotyaev and A. B. Pushnitskii},
     title = {Scattering on an anisotropic potential in a~constant electric field},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {103--114},
     year = {1995},
     volume = {230},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_230_a8/}
}
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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.