Comment on ``A new efficient method for calculating perturbative energies using functions which are not square integrable'': regularization and justification

Details Comment on ``A new efficient method for calculating perturbative energies using functions which are not square integrable'': regularization and justification Comment on ``A new efficient method for calculating perturbative energies using functions which are not square integrable'': regularization and justification

1997-01-31

arxiv.org/abs/quant-ph/9702004v1

J.Phys.A30:4133-4136,1997

Physics

Quantum Physics

6 pages in REVTeX, no figures

Scientific paper

10.1088/0305-4470/30/11/036

The method recently proposed by Skala and Cizek for calculating perturbation energies in a strict sense is ambiguous because it is expressed as a ratio of two quantities which are separately divergent. Even though this ratio comes out finite and gives the correct perturbation energies, the calculational process must be regularized to be justified. We examine one possible method of regularization and show that the proposed method gives traditional quantum mechanics results.

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