Geodesic
Algorithm of Rayleigh--Schr\"odinger perturbation theory for hermitian operators
Teoretičeskaâ i matematičeskaâ fizika, Tome 18 (1974) no. 3, pp. 374-382

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A simple algorithm of perturbation theory is obtained for an Hermitian operator $H=H^0+V$, where $V=A_1+A_2+\dots+A_n+\cdots$ 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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     author = {Yu. I. Polyakov},
     title = {Algorithm of {Rayleigh--Schr\"odinger} perturbation theory for hermitian operators},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {374--382},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1974_18_3_a8/}
}
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Yu. I. Polyakov. Algorithm of Rayleigh--Schr\"odinger perturbation theory for hermitian operators. Teoretičeskaâ i matematičeskaâ fizika, Tome 18 (1974) no. 3, pp. 374-382. http://geodesic.mathdoc.fr/item/TMF_1974_18_3_a8/