Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 19, Tome 163 (1987), pp. 29-36
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A. F. Vakulenko. On a variant of commutator estimates in spectral theory. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 19, Tome 163 (1987), pp. 29-36. http://geodesic.mathdoc.fr/item/ZNSL_1987_163_a2/
@article{ZNSL_1987_163_a2,
author = {A. F. Vakulenko},
title = {On a variant of commutator estimates in spectral theory},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {29--36},
year = {1987},
volume = {163},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_163_a2/}
}
TY - JOUR
AU - A. F. Vakulenko
TI - On a variant of commutator estimates in spectral theory
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1987
SP - 29
EP - 36
VL - 163
UR - http://geodesic.mathdoc.fr/item/ZNSL_1987_163_a2/
LA - ru
ID - ZNSL_1987_163_a2
ER -
%0 Journal Article
%A A. F. Vakulenko
%T On a variant of commutator estimates in spectral theory
%J Zapiski Nauchnykh Seminarov POMI
%D 1987
%P 29-36
%V 163
%U http://geodesic.mathdoc.fr/item/ZNSL_1987_163_a2/
%G ru
%F ZNSL_1987_163_a2
For two orithree-particle Schrodinger operator $H$ thе positivity of $\operatorname{Re}((H-\lambda)f,Af)$ is used to construct $H$-smooth operators. Asymptotic completeness in the short-range case is proved. The absence of embedded eigenvalues is a byproduct of the method for two particle system.