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'A new efficient method for calculating perturbative energies using functions which are not square integrable': Regularization and justification
Journal article

'A new efficient method for calculating perturbative energies using functions which are not square integrable': Regularization and justification

C.K. Au, Chi-Keung Chow and Chong-Sun Chu
Journal of Physics A: Mathematical and General, Vol.30(11), pp.4133-4136
07/06/1997

Abstract

The method recently proposed by Skála and Čížek 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 mechanical results.

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