Algebraic treatment of three-body problems

R. Bijker; A. Leviatan

doi:10.1007/s006010050096

Algebraic treatment of three-body problems

R. Bijker^*
, A. Leviatan

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

We discuss an algebraic treatment of three-body systems in terms of a U(7) spectrum-generating algebra. In particular, we develop the formalism for nonlinear configurations and present an algebraic description of vibrational and rotational excitations of symmetric (X₃) and asymmetric tops (XY₂ and XYZ). The relevant point-group symmetry is incorporated exactly.

Original language	English
Pages (from-to)	89-100
Number of pages	12
Journal	Few-Body Systems
Volume	25
Issue number	1-3
DOIs	https://doi.org/10.1007/s006010050096
State	Published - 1998

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abstract = "We discuss an algebraic treatment of three-body systems in terms of a U(7) spectrum-generating algebra. In particular, we develop the formalism for nonlinear configurations and present an algebraic description of vibrational and rotational excitations of symmetric (X3) and asymmetric tops (XY2 and XYZ). The relevant point-group symmetry is incorporated exactly.",

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AB - We discuss an algebraic treatment of three-body systems in terms of a U(7) spectrum-generating algebra. In particular, we develop the formalism for nonlinear configurations and present an algebraic description of vibrational and rotational excitations of symmetric (X3) and asymmetric tops (XY2 and XYZ). The relevant point-group symmetry is incorporated exactly.

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Algebraic treatment of three-body problems

Abstract

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