Semiclassical asymptotics of the eigenfunctions of the Schr\"odinger-Hartree equation. New form of classical self-consistent field
Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 1, pp. 141-154
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An asymptotics of eigen-functions of the Shrödinger equation per $h\to 0$ is studied when the corresponding classical trajectories are ergodic. New equations of self-consistent field and of plasma waves corresponding to its are derived.
@article{TMF_1994_99_1_a11,
author = {V. P. Maslov},
title = {Semiclassical asymptotics of the eigenfunctions of the {Schr\"odinger-Hartree} equation. {New} form of classical self-consistent field},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {141--154},
publisher = {mathdoc},
volume = {99},
number = {1},
year = {1994},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1994_99_1_a11/}
}
TY - JOUR AU - V. P. Maslov TI - Semiclassical asymptotics of the eigenfunctions of the Schr\"odinger-Hartree equation. New form of classical self-consistent field JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1994 SP - 141 EP - 154 VL - 99 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1994_99_1_a11/ LA - ru ID - TMF_1994_99_1_a11 ER -
%0 Journal Article %A V. P. Maslov %T Semiclassical asymptotics of the eigenfunctions of the Schr\"odinger-Hartree equation. New form of classical self-consistent field %J Teoretičeskaâ i matematičeskaâ fizika %D 1994 %P 141-154 %V 99 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1994_99_1_a11/ %G ru %F TMF_1994_99_1_a11
V. P. Maslov. Semiclassical asymptotics of the eigenfunctions of the Schr\"odinger-Hartree equation. New form of classical self-consistent field. Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 1, pp. 141-154. http://geodesic.mathdoc.fr/item/TMF_1994_99_1_a11/