Appearance of anomalies in the Takatsuka-McKoy variational method: An illustrative example

M. A. Abdel-Raouf

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

It is demonstrated that the method of the fractional functional proposed by Takatsuka and McKoy, and the variational method of Moe and Saxon and of Kolsrud are identical. In particular, we show that the method is, contrary to Takatsuka and McKoy's claim, not free of anomalies; it implies the incorporation of the boundary conditions, it does not satisfy a minimum principle, and suffers from inconsistency. In order to illustrate the validity of our arguments, we investigate the s-wave scattering of electrons by Yukawa potentials.

Original languageEnglish
Pages (from-to)2794-2798
Number of pages5
JournalPhysical Review A
Volume30
Issue number5
DOIs
Publication statusPublished - Jan 1 1984

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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