Teoretičeskaâ i matematičeskaâ fizika, Tome 13 (1972) no. 1, pp. 140-142
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A. P. Bondarev; K. P. Stanyukovich. Klein-Gordon equation in Riemannian space. Teoretičeskaâ i matematičeskaâ fizika, Tome 13 (1972) no. 1, pp. 140-142. http://geodesic.mathdoc.fr/item/TMF_1972_13_1_a11/
@article{TMF_1972_13_1_a11,
author = {A. P. Bondarev and K. P. Stanyukovich},
title = {Klein-Gordon equation in {Riemannian} space},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {140--142},
year = {1972},
volume = {13},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1972_13_1_a11/}
}
TY - JOUR
AU - A. P. Bondarev
AU - K. P. Stanyukovich
TI - Klein-Gordon equation in Riemannian space
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 1972
SP - 140
EP - 142
VL - 13
IS - 1
UR - http://geodesic.mathdoc.fr/item/TMF_1972_13_1_a11/
LA - ru
ID - TMF_1972_13_1_a11
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%0 Journal Article
%A A. P. Bondarev
%A K. P. Stanyukovich
%T Klein-Gordon equation in Riemannian space
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1972
%P 140-142
%V 13
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1972_13_1_a11/
%G ru
%F TMF_1972_13_1_a11
A solution that depends on $a(t)$ is obtained for the Klein–Gordon equation in the metric of a closed Fridman model. The metric's being non-Euclidean and time-dependent leads to the wave function's being damped in the f i r s t order and the frequency's being reduced in the second order of an expansion in the small parameter $H/\omega_0\sim10^{-40}$.