Geodesic
Time of loss of a specified accuracy of semiclassical trajectory-coherent states
Teoretičeskaâ i matematičeskaâ fizika, Tome 74 (1988) no. 2, pp. 316-319 
V. G. Bagrov; V. V. Belov. Time of loss of a specified accuracy of semiclassical trajectory-coherent states. Teoretičeskaâ i matematičeskaâ fizika, Tome 74 (1988) no. 2, pp. 316-319. http://geodesic.mathdoc.fr/item/TMF_1988_74_2_a16/
@article{TMF_1988_74_2_a16,
     author = {V. G. Bagrov and V. V. Belov},
     title = {Time of loss of a~specified accuracy of semiclassical trajectory-coherent states},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {316--319},
     year = {1988},
     volume = {74},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_74_2_a16/}
}
TY  - JOUR
AU  - V. G. Bagrov
AU  - V. V. Belov
TI  - Time of loss of a specified accuracy of semiclassical trajectory-coherent states
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1988
SP  - 316
EP  - 319
VL  - 74
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1988_74_2_a16/
LA  - ru
ID  - TMF_1988_74_2_a16
ER  - 
%0 Journal Article
%A V. G. Bagrov
%A V. V. Belov
%T Time of loss of a specified accuracy of semiclassical trajectory-coherent states
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1988
%P 316-319
%V 74
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1988_74_2_a16/
%G ru
%F TMF_1988_74_2_a16

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

The concept of the effective time of loss of a specified accuracy of an approximate solution of a wave equation is introduced. It is shown that in the case of motion of a particle in a constant homogeneous magnetic field this time is comparable with the time of one gyration of the particle. In the case of motion in electric fields, the accuracy may increase with increasing time, and effective loss will not occur.

[1] Bagrov V. G., Belov V. V., Ternov I. M., TMF, 50:3 (1982), 390–396 | MR

[2] Bagrov V. G., Belov V. V., Izv. vuzov, fizika, 1982, no. 4, 48–50 | MR

[3] Bagrov V. G., Belov V. V., Ternov I. M., J. Math. Phys., 24 (1983), 2855–2859 | DOI | MR

[4] Davydov A. S., Kvantovaya mekhanika, Nauka, M., 1973 | MR