Anomalies of the Schwinger phase shifts in the static exchange approximation

Barnabas Apagyi, P. Lévay, Karoly Ladanyi

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

The Schwinger variational method is applied to the static exchange approximation of the electron"hydrogen-atom scattering. Spurious singularities are encountered in singlet scattering processes. The position of the poles is investigated by a simple numerical procedure. Anomalous poles appear in narrow regions of the nonlinear scale parameter. Results are presented which illustrate the behavior of the phase shifts around the spurious poles. No Kohn-type anomalies are encountered in the triplet case. As a byproduct, it is discussed that the Schwinger formula may be approximated in a separable form which is relatively simple but not free of anomalies.

Original languageEnglish
Pages (from-to)4577-4581
Number of pages5
JournalPhysical Review A
Volume37
Issue number12
DOIs
Publication statusPublished - 1988

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phase shift
poles
anomalies
approximation
scattering
hydrogen atoms
electrons

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics

Cite this

Anomalies of the Schwinger phase shifts in the static exchange approximation. / Apagyi, Barnabas; Lévay, P.; Ladanyi, Karoly.

In: Physical Review A, Vol. 37, No. 12, 1988, p. 4577-4581.

Research output: Contribution to journalArticle

Apagyi, Barnabas ; Lévay, P. ; Ladanyi, Karoly. / Anomalies of the Schwinger phase shifts in the static exchange approximation. In: Physical Review A. 1988 ; Vol. 37, No. 12. pp. 4577-4581.
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