Classical asymptotic behavior of the free Schr\"odinger equation for calculating corrections in the stationary phase method
Teoretičeskaâ i matematičeskaâ fizika, Tome 25 (1975) no. 2, pp. 270-274
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New formulae are obtained for the corrections to the asymptotics of the integral
according to the stationary phase method. To this end the WKB approximation for the
Schrödinger equation is used. The residual term for the asymptotical series over the
small parameter powers representing the expansion of the integral of quickly oscillating
functions, is obtained.
@article{TMF_1975_25_2_a11,
author = {Le Vu An'},
title = {Classical asymptotic behavior of the free {Schr\"odinger} equation for calculating corrections in the stationary phase method},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {270--274},
publisher = {mathdoc},
volume = {25},
number = {2},
year = {1975},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1975_25_2_a11/}
}
TY - JOUR AU - Le Vu An' TI - Classical asymptotic behavior of the free Schr\"odinger equation for calculating corrections in the stationary phase method JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1975 SP - 270 EP - 274 VL - 25 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1975_25_2_a11/ LA - ru ID - TMF_1975_25_2_a11 ER -
%0 Journal Article %A Le Vu An' %T Classical asymptotic behavior of the free Schr\"odinger equation for calculating corrections in the stationary phase method %J Teoretičeskaâ i matematičeskaâ fizika %D 1975 %P 270-274 %V 25 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1975_25_2_a11/ %G ru %F TMF_1975_25_2_a11
Le Vu An'. Classical asymptotic behavior of the free Schr\"odinger equation for calculating corrections in the stationary phase method. Teoretičeskaâ i matematičeskaâ fizika, Tome 25 (1975) no. 2, pp. 270-274. http://geodesic.mathdoc.fr/item/TMF_1975_25_2_a11/