Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 11, Tome 84 (1979), pp. 16-22
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V. S. Buslaev; S. P. Merkur'ev; S. P. Salikov. Description of the pair potentials for which the scattering in the quantum system of three one-dimensional particles. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 11, Tome 84 (1979), pp. 16-22. http://geodesic.mathdoc.fr/item/ZNSL_1979_84_a2/
@article{ZNSL_1979_84_a2,
author = {V. S. Buslaev and S. P. Merkur'ev and S. P. Salikov},
title = {Description of the pair potentials for which the scattering in the quantum system of three one-dimensional particles},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {16--22},
year = {1979},
volume = {84},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_84_a2/}
}
TY - JOUR
AU - V. S. Buslaev
AU - S. P. Merkur'ev
AU - S. P. Salikov
TI - Description of the pair potentials for which the scattering in the quantum system of three one-dimensional particles
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1979
SP - 16
EP - 22
VL - 84
UR - http://geodesic.mathdoc.fr/item/ZNSL_1979_84_a2/
LA - ru
ID - ZNSL_1979_84_a2
ER -
%0 Journal Article
%A V. S. Buslaev
%A S. P. Merkur'ev
%A S. P. Salikov
%T Description of the pair potentials for which the scattering in the quantum system of three one-dimensional particles
%J Zapiski Nauchnykh Seminarov POMI
%D 1979
%P 16-22
%V 84
%U http://geodesic.mathdoc.fr/item/ZNSL_1979_84_a2/
%G ru
%F ZNSL_1979_84_a2
The coordinate asymptotics of a solution of the scatterinq problem in the quantum system of three one-dimensional particles contains besides plane and spherical waves the diffraction waves, which also occur in the two-dimensional problem of diffraction of the plane wave on the semi-infinite screen. The class of potentials is found for which there are no diffraction waves in the asymptotics of the solution. This class is somewhat wider then well-known Bargmann class.
