Stability of~regularizations of~the many-particle Schr\"odinger operator with singular repulsive two-body interaction potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 43 (1980) no. 1, pp. 57-64
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Stability of regularisations of the $d$-dimensional ($d\geqslant2$) $N$-particle Schrödinger operator with singular repulsive two-body potential is studied under the assumption that the singular set of the potential is sufficiently thin. It is proved that any positive regularisation is stable for the system under consideration.
@article{TMF_1980_43_1_a5,
author = {I. D. Chueshov},
title = {Stability of~regularizations of~the many-particle {Schr\"odinger} operator with singular repulsive two-body interaction potential},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {57--64},
publisher = {mathdoc},
volume = {43},
number = {1},
year = {1980},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1980_43_1_a5/}
}
TY - JOUR AU - I. D. Chueshov TI - Stability of~regularizations of~the many-particle Schr\"odinger operator with singular repulsive two-body interaction potential JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1980 SP - 57 EP - 64 VL - 43 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1980_43_1_a5/ LA - ru ID - TMF_1980_43_1_a5 ER -
%0 Journal Article %A I. D. Chueshov %T Stability of~regularizations of~the many-particle Schr\"odinger operator with singular repulsive two-body interaction potential %J Teoretičeskaâ i matematičeskaâ fizika %D 1980 %P 57-64 %V 43 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1980_43_1_a5/ %G ru %F TMF_1980_43_1_a5
I. D. Chueshov. Stability of~regularizations of~the many-particle Schr\"odinger operator with singular repulsive two-body interaction potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 43 (1980) no. 1, pp. 57-64. http://geodesic.mathdoc.fr/item/TMF_1980_43_1_a5/