Teoretičeskaâ i matematičeskaâ fizika, Tome 41 (1979) no. 3, pp. 291-302
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Yu. M. Shirokov. Strongly singular potentials in one-dimensional quantum mechanics. Teoretičeskaâ i matematičeskaâ fizika, Tome 41 (1979) no. 3, pp. 291-302. http://geodesic.mathdoc.fr/item/TMF_1979_41_3_a0/
@article{TMF_1979_41_3_a0,
author = {Yu. M. Shirokov},
title = {Strongly singular potentials in one-dimensional quantum mechanics},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {291--302},
year = {1979},
volume = {41},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1979_41_3_a0/}
}
TY - JOUR
AU - Yu. M. Shirokov
TI - Strongly singular potentials in one-dimensional quantum mechanics
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 1979
SP - 291
EP - 302
VL - 41
IS - 3
UR - http://geodesic.mathdoc.fr/item/TMF_1979_41_3_a0/
LA - ru
ID - TMF_1979_41_3_a0
ER -
%0 Journal Article
%A Yu. M. Shirokov
%T Strongly singular potentials in one-dimensional quantum mechanics
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1979
%P 291-302
%V 41
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1979_41_3_a0/
%G ru
%F TMF_1979_41_3_a0
The algebra of one-dimensional generalized functions constructed in the author's earlier [1] is used to develop a general method for obtaining one-dimensional Schrödinger equations with strongly singular concentrated potentials and with positive-definite metric. Examples of exact solutions to such equations are given for both reuormalizable and nonrenormalizable potentials.
