Algebraic scattering theory and the geometric phase

Péter Lévay, Barnabas Apagyi

Research output: Contribution to journalArticle

9 Citations (Scopus)


A nonstandard realization of the su(1,1) algebra is used to extract a two-parameter class of scattering potentials as well as to calculate the reflection coefficient of the associated one-dimensional scattering problem in the spirit of the algebraic scattering theory. The nontrivial geometric content of such realizations is discussed, and an interesting connection with geometric phases is pointed out. It is argued that using larger noncompact groups, realizations related to non-Abelian geometric phases may be useful for obtaining analytical expressions for interaction terms corresponding to higher-dimensional scattering problems.

Original languageEnglish
Pages (from-to)823-830
Number of pages8
JournalPhysical Review A
Issue number2
Publication statusPublished - Jan 1 1993

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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