Teoretičeskaâ i matematičeskaâ fizika, Tome 25 (1975) no. 3, pp. 414-418
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A. L. Kitanin. Nonstationary perturbation theory for a degenerate discrete level. Teoretičeskaâ i matematičeskaâ fizika, Tome 25 (1975) no. 3, pp. 414-418. http://geodesic.mathdoc.fr/item/TMF_1975_25_3_a12/
@article{TMF_1975_25_3_a12,
author = {A. L. Kitanin},
title = {Nonstationary perturbation theory for a degenerate discrete level},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {414--418},
year = {1975},
volume = {25},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1975_25_3_a12/}
}
TY - JOUR
AU - A. L. Kitanin
TI - Nonstationary perturbation theory for a degenerate discrete level
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 1975
SP - 414
EP - 418
VL - 25
IS - 3
UR - http://geodesic.mathdoc.fr/item/TMF_1975_25_3_a12/
LA - ru
ID - TMF_1975_25_3_a12
ER -
%0 Journal Article
%A A. L. Kitanin
%T Nonstationary perturbation theory for a degenerate discrete level
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1975
%P 414-418
%V 25
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1975_25_3_a12/
%G ru
%F TMF_1975_25_3_a12
Asymptotical representations is constructed for evolution operator $S(0,-T)P$ at $T\to\infty$ regularized by means of the substitution $H_0\to H_0-i\varepsilon P'$ [1] (non-adiabatic regularisation which does not depend: on time). It is shown that $S(0,-T)P=\Omega\exp (-iQT)R_0+O(e^{-\varepsilon T})$, $Q$ and $\Omega$ being finite operators not depending of $T$ and regular in the neighbourhood $\varepsilon=0$. $Q$ can be interpreted as secular operator and $Q$ as wave operator.
