Perturbation theory by the moment method and point-group symmetry

2014/09/14 by Francisco M. Fernández, Fernández, Francisco M.
Physics and Astronomy · #Advanced Chemical Physics Studies #FOS: Physical sciences #Quantum Physics (quant-ph) #Spectroscopy and Quantum Chemical Studies #Strong Light-Matter Interactions #quant-ph

paper · pdf · doi:10.48550/arxiv.1409.4120

arxiv created 2014/09/14 · openalex publication_date 2014/09/14 · arxiv updated 2014/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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