Uniform coordinates and spectral asymptotics for solutions of the scattering problem for the Schr\"odinger equation
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 10, Tome 69 (1977), pp. 171-199
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Uniform asymptotic formulas at large distances and for a large value of the spectral parameter are obtained for solutions of the scattering problem. The singularities of the scattering amplitude in the angular variables and its asymptotic expression in the spectral parameter are described.
@article{ZNSL_1977_69_a13,
author = {M. M. Skriganov},
title = {Uniform coordinates and spectral asymptotics for solutions of the scattering problem for the {Schr\"odinger} equation},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {171--199},
publisher = {mathdoc},
volume = {69},
year = {1977},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a13/}
}
TY - JOUR AU - M. M. Skriganov TI - Uniform coordinates and spectral asymptotics for solutions of the scattering problem for the Schr\"odinger equation JO - Zapiski Nauchnykh Seminarov POMI PY - 1977 SP - 171 EP - 199 VL - 69 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a13/ LA - ru ID - ZNSL_1977_69_a13 ER -
%0 Journal Article %A M. M. Skriganov %T Uniform coordinates and spectral asymptotics for solutions of the scattering problem for the Schr\"odinger equation %J Zapiski Nauchnykh Seminarov POMI %D 1977 %P 171-199 %V 69 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a13/ %G ru %F ZNSL_1977_69_a13
M. M. Skriganov. Uniform coordinates and spectral asymptotics for solutions of the scattering problem for the Schr\"odinger equation. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 10, Tome 69 (1977), pp. 171-199. http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a13/