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TMF, 1975, Volume 24, Number 2, Pages 219–229 (Mi tmf4005)  

This article is cited in 3 scientific papers (total in 3 papers)

Nonstationary perturbation theory for the energy shifts of a degenerate level

A. N. Vasil'ev, A. L. Kitanin

Leningrad State University

Abstract: The asymptotic (when $T\equiv t_1-t_2\to\infty$ ) representation for the operator $PS(t_1,t_2)P$ where $P$ is the projector on some degenerate subspace of the nonperturbed energy level and $S(t_1,t_2)$ is the operator of the time development in the interaction picture is obtained. The asymptotic formula is the following:
$$PS(t_1,t_2)P=R_0\exp (-iQT)=(\exp\{-iQ^+T\})R_0=R_0^{1/2}(\exp\{-i\bar QT\})R_0^{1/2},$$
where $Q$ is the nonhermitian secular operator [3], $R_0$ and $\bar Q$ are the hermitian operators.

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English version:
Theoretical and Mathematical Physics, 1975, 24:2, 786–893

Bibliographic databases:

Received: 12.07.1974

Citation: A. N. Vasil'ev, A. L. Kitanin, “Nonstationary perturbation theory for the energy shifts of a degenerate level”, TMF, 24:2 (1975), 219–229; Theoret. and Math. Phys., 24:2 (1975), 786–893

Citation in format AMSBIB
\Bibitem{VasKit75}
\by A.~N.~Vasil'ev, A.~L.~Kitanin
\paper Nonstationary perturbation theory for the energy shifts of a~degenerate level
\jour TMF
\yr 1975
\vol 24
\issue 2
\pages 219--229
\mathnet{http://mi.mathnet.ru/tmf4005}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=468907}
\zmath{https://zbmath.org/?q=an:0326.47019}
\transl
\jour Theoret. and Math. Phys.
\yr 1975
\vol 24
\issue 2
\pages 786--893
\crossref{https://doi.org/10.1007/BF01029062}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. L. Kitanin, “Nonstationary perturbation theory for a degenerate discrete level”, Theoret. and Math. Phys., 25:3 (1975), 1224–1227  mathnet  crossref  mathscinet  zmath
    2. M. F. Sarry, “Perturbation theory for a degenerate level”, Theoret. and Math. Phys., 41:2 (1979), 1028–1030  mathnet  crossref  mathscinet  zmath  isi
    3. V. M. Shabaev, “Rayleigh–Schrödinger perturbation theory for a relativistic atom”, Theoret. and Math. Phys., 82:1 (1990), 57–62  mathnet  crossref  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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