Abstract
TheSU(3) symmetry of the harmonic oscillator potential is used to calculate exactly the second order energy correction, caused by quadrupole deformations. This can be done in a purely algebraic manner, using the Dalgarno-Schwartz formulation of perturbation theory. Some connections of this method with group theory are discussed and an extension to more general situations is proposed.
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Klingenbeck, K.: to be published
Klingenbeck, K.: Thesis, Erlangen 1976, unpublished
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Klingenbeck, K. Quadrupole perturbation of the harmonic oscillator potential. Z Physik A 282, 237–239 (1977). https://doi.org/10.1007/BF01408169
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DOI: https://doi.org/10.1007/BF01408169