This article is cited in 2 papers

Nonstationary perturbation theory for a degenerate discrete level

A. L. Kitanin


Abstract: 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.

Received: 11.03.1975

 English version: Theoretical and Mathematical Physics, 1975, 25:3, 1224–1227

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