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TMF, 1974, Volume 18, Number 3, Pages 374–382 (Mi tmf3554)  

Algorithm of Rayleigh–Schrödinger perturbation theory for hermitian operators

Yu. I. Polyakov


Abstract: A simple algorithm of perturbation theory is obtained for an Hermitian operator $H=H^0+V$, where $V=A_1+A_2+…+A_n+\cdots$ and $A_n$ is an operator of $n$-th order with respect to a set of small parameters. The multiplicity of degeneracy of the unperturbed level is arbitrary. The scheme can be used, for example, in the problem of vibrational-rotational coupling in molecules. This is illustrated for the example of a triatomic linear symmetric molecule.

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English version:
Theoretical and Mathematical Physics, 1974, 18:3, 267–273

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Received: 01.03.1973

Citation: Yu. I. Polyakov, “Algorithm of Rayleigh–Schrödinger perturbation theory for hermitian operators”, TMF, 18:3 (1974), 374–382; Theoret. and Math. Phys., 18:3 (1974), 267–273

Citation in format AMSBIB
\Bibitem{Pol74}
\by Yu.~I.~Polyakov
\paper Algorithm of Rayleigh--Schr\"odinger perturbation theory for hermitian operators
\jour TMF
\yr 1974
\vol 18
\issue 3
\pages 374--382
\mathnet{http://mi.mathnet.ru/tmf3554}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=468895}
\zmath{https://zbmath.org/?q=an:0308.47017}
\transl
\jour Theoret. and Math. Phys.
\yr 1974
\vol 18
\issue 3
\pages 267--273
\crossref{https://doi.org/10.1007/BF01035648}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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