Teoretičeskaâ i matematičeskaâ fizika, Tome 42 (1980) no. 1, pp. 45-49
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Yu. M. Shirokov. Strongly singular potentials in three-dimensional quantum mechanics. Teoretičeskaâ i matematičeskaâ fizika, Tome 42 (1980) no. 1, pp. 45-49. http://geodesic.mathdoc.fr/item/TMF_1980_42_1_a4/
@article{TMF_1980_42_1_a4,
author = {Yu. M. Shirokov},
title = {Strongly singular potentials in~three-dimensional quantum mechanics},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {45--49},
year = {1980},
volume = {42},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1980_42_1_a4/}
}
TY - JOUR
AU - Yu. M. Shirokov
TI - Strongly singular potentials in three-dimensional quantum mechanics
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 1980
SP - 45
EP - 49
VL - 42
IS - 1
UR - http://geodesic.mathdoc.fr/item/TMF_1980_42_1_a4/
LA - ru
ID - TMF_1980_42_1_a4
ER -
%0 Journal Article
%A Yu. M. Shirokov
%T Strongly singular potentials in three-dimensional quantum mechanics
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1980
%P 45-49
%V 42
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1980_42_1_a4/
%G ru
%F TMF_1980_42_1_a4
Three-dimensional generalization is obtained for the method proposed in [1] for deriving the one-dimensional Schrödinger equations with strongly singular potentials and positive metric. Exactly solvable examples are presented for renormalizable as well as nonrenormalizable potentials. The generalization is based on the algebra of the threedimensional generalized functions which was constructed in [2].
