Resonance widths and positions by an algebraic approach

Y. Alhassid*, F. Iachello, R. D. Levine

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

39 Scopus citations

Abstract

The use of nonunitary discrete, irreducible representations of Lie algebras is proposed as a method for the determination of widths and energies of resonances. The method is illustrated by explicit application to three kinds of resonances: in transmission over a well, in transmission over a barrier, and in barrier penetration for a family of one-dimensional potentials. The same procedure is also useful in an algebraic approach to scattering by a complex (optical) potential, and for parametrization of the resonant contribution to the scattering matrix.

Original languageEnglish
Pages (from-to)1746-1749
Number of pages4
JournalPhysical Review Letters
Volume54
Issue number16
DOIs
StatePublished - 1985

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