Conference proceeding
O(4) and permutational symmetry adapted states
GROUP 21 - PHYSICAL APPLICATIONS AND MATHEMATICAL ASPECTS OF GEOMETRY, GROUPS, AND ALGEBRA, VOLS 1 AND 2
01 Jan 1997
Abstract
A recursive procedure for the construction of wave functions that belong to well-defined irreducible representations of both O(4) and SN is presented. The N-particle wave function is expressed in terms of a complete set of symmetry adapted (N-1)-particle wave functions. The corresponding N-1 to NO(4)-coefficients of fractional parentage are obtained as the eigenvectors of the transposition class-sum of the symmetric group, in a complete basis that consists of N-particle O(4)-coupled functions. The wave functions obtained in this procedure are relevant to the study of multiply ionized atoms. In recent years, these wave functions were used within the vibron model for the description of the vibration-rotation spectra of polyatomic molecules, the relative motion of nuclear clusters, as well as the geometric degrees of freedom of quark systems.
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Details
- Title
- O(4) and permutational symmetry adapted states
- Creators
- A NovoselskyJ KatrielR Gilmore
- Contributors
- H D Doebner (Editor)P Nattermann (Editor)W Scherer (Editor)
- Publication Details
- GROUP 21 - PHYSICAL APPLICATIONS AND MATHEMATICAL ASPECTS OF GEOMETRY, GROUPS, AND ALGEBRA, VOLS 1 AND 2
- Publisher
- World Scientific
- Number of pages
- 5
- Resource Type
- Conference proceeding
- Language
- English
- Academic Unit
- [Retired Faculty]
- Identifiers
- 991021861816204721
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