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Perturbation theory by the moment method and point-group symmetry

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Abstract

We analyze earlier applications of perturbation theory by the moment method (also called inner product method) to anharmonic oscillators. For concreteness we focus on two-dimensional models with symmetry \(C_{4v}\) and \(C_{2v}\) and reveal the reason why some of those earlier treatments proved unsuitable for the calculation of the perturbation corrections for some excited states. Point-group symmetry enables one to predict which states require special treatment.

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Acknowledgments

This report has been financially supported by PIP No. 11420110100062 (Consejo Nacional de Investigaciones Cientificas y Tecnicas, República Argentina).

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  1. División Química Teórica, INIFTA (UNLP, CCT La Plata-CONICET), Blvd. 113 S/N, Sucursal 4, Casilla de Correo 16, 1900, La Plata, Argentina

    Francisco M. Fernández

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  1. Francisco M. Fernández
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Correspondence to Francisco M. Fernández.

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Fernández, F.M. Perturbation theory by the moment method and point-group symmetry. J Math Chem 53, 998–1009 (2015). https://doi.org/10.1007/s10910-014-0457-3

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  • DOI: https://doi.org/10.1007/s10910-014-0457-3

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