Abstract
The Rayleigh-Schrödinger perturbation theory is applied to a calculation of vibrational energy levels of the H2O molecule for isolated states and the states involved in the anharmonic Fermi and Darling-Dennison resonances. It is shown that in spite of the rapid divergence of the perturbation theory series caused by the resonances, the use of the summation methods of Padé, Padé-Borel, and Padé-Hermite and the moments method allows one to obtain quite satisfactory results.
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Original Russian Text © A.D. Bykov, K.V. Kalinin, 2011, published in Optika i Spektroskopiya, 2011, Vol. 111, No. 3, pp. 396–404.
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Bykov, A.D., Kalinin, K.V. Calculation of vibrational energy levels of water molecule by summing divergent perturbation theory series. Opt. Spectrosc. 111, 367–375 (2011). https://doi.org/10.1134/S0030400X11080091
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DOI: https://doi.org/10.1134/S0030400X11080091