Scattering at a strongly singular potential
Matematičeskie zametki, Tome 8 (1970) no. 2, pp. 217-228
Cet article a éte moissonné depuis la source Math-Net.Ru
Hilbert's equation for the resolvent and the maximum principle for the equation $-\Delta u+V(x)u=0$ is used to construct a self-adjoint extension of the operator $-\Delta+V(x)$ with a positive singular potential $V(x)$. The properties of this operator are investigated.
@article{MZM_1970_8_2_a9,
author = {V. V. Kucherenko},
title = {Scattering at a strongly singular potential},
journal = {Matemati\v{c}eskie zametki},
pages = {217--228},
year = {1970},
volume = {8},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1970_8_2_a9/}
}
V. V. Kucherenko. Scattering at a strongly singular potential. Matematičeskie zametki, Tome 8 (1970) no. 2, pp. 217-228. http://geodesic.mathdoc.fr/item/MZM_1970_8_2_a9/