Geodesic
The quasi-classical asymptotic solutions of some problems in mathematical physics
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 1 (1961) no. 1, pp. 113-128 
V. P. Maslov. The quasi-classical asymptotic solutions of some problems in mathematical physics. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 1 (1961) no. 1, pp. 113-128. http://geodesic.mathdoc.fr/item/ZVMMF_1961_1_1_a6/
@article{ZVMMF_1961_1_1_a6,
     author = {V. P. Maslov},
     title = {The quasi-classical asymptotic solutions of some problems in mathematical physics},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {113--128},
     year = {1961},
     volume = {1},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1961_1_1_a6/}
}
TY  - JOUR
AU  - V. P. Maslov
TI  - The quasi-classical asymptotic solutions of some problems in mathematical physics
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1961
SP  - 113
EP  - 128
VL  - 1
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1961_1_1_a6/
LA  - ru
ID  - ZVMMF_1961_1_1_a6
ER  - 
%0 Journal Article
%A V. P. Maslov
%T The quasi-classical asymptotic solutions of some problems in mathematical physics
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1961
%P 113-128
%V 1
%N 1
%U http://geodesic.mathdoc.fr/item/ZVMMF_1961_1_1_a6/
%G ru
%F ZVMMF_1961_1_1_a6

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

A suitable transformation of the dependent and independent variables in Schrödinger's time-dependent equation for the quantized state of a system of particles in a potential field leades to a linear equation. It is shown by using perturbation theory that this equation has a series solution in powers of $h$ (Planck's constant). In this way it is found to be possible to pass in the limit, as $h\to 0$, from quantum mechanics to classical mechanics. The existence of the total integral of the Hamilton-Jacobi equation is also discussed.