English

Perturbation theory by the moment method and point-group symmetry

Quantum Physics 2014-09-16 v1

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 C4vC_{4v} and C2vC_{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.

Keywords

Cite

@article{arxiv.1409.4120,
  title  = {Perturbation theory by the moment method and point-group symmetry},
  author = {Francisco M. Fernández},
  journal= {arXiv preprint arXiv:1409.4120},
  year   = {2014}
}