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

Voir la notice de l'article provenant de la source Math-Net.Ru

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/