Teoretičeskaâ i matematičeskaâ fizika, Tome 112 (1997) no. 1, pp. 119-123
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Yu. I. Polyakov. Perturbation theory for particle in one-dimensional, central- or axial-symmetric fields. Teoretičeskaâ i matematičeskaâ fizika, Tome 112 (1997) no. 1, pp. 119-123. http://geodesic.mathdoc.fr/item/TMF_1997_112_1_a7/
@article{TMF_1997_112_1_a7,
author = {Yu. I. Polyakov},
title = {Perturbation theory for particle in one-dimensional, central- or axial-symmetric fields},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {119--123},
year = {1997},
volume = {112},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1997_112_1_a7/}
}
TY - JOUR
AU - Yu. I. Polyakov
TI - Perturbation theory for particle in one-dimensional, central- or axial-symmetric fields
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 1997
SP - 119
EP - 123
VL - 112
IS - 1
UR - http://geodesic.mathdoc.fr/item/TMF_1997_112_1_a7/
LA - ru
ID - TMF_1997_112_1_a7
ER -
%0 Journal Article
%A Yu. I. Polyakov
%T Perturbation theory for particle in one-dimensional, central- or axial-symmetric fields
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1997
%P 119-123
%V 112
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1997_112_1_a7/
%G ru
%F TMF_1997_112_1_a7
Perturbation theory for which all corrections to a nonperturbed state are defined by its wave function is obtained. A new applicability condition for this theory is formulated. By considering a simple example comparison with the Rayleigh–Schrödinger perturbation theory giving an analytical expression for the corresponding series is performed.
