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Titolo:
Generation of irreducible representations in the O(6) limit of the IBM
Autore:
Gelberg, A; Iachello, F; Otsuka, T; Jolos, RV;
Indirizzi:
Univ Cologne, Inst Kernphys, D-50937 Cologne, Germany Univ Cologne Cologne Germany D-50937 Kernphys, D-50937 Cologne, Germany Yale Univ, Sloane Phys Lab, Ctr Theoret Phys, New Haven, CT 06520 USA YaleUniv New Haven CT USA 06520 tr Theoret Phys, New Haven, CT 06520 USA Univ Tokyo, Grad Sch Sci, Tokyo 1130033, Japan Univ Tokyo Tokyo Japan 1130033 Tokyo, Grad Sch Sci, Tokyo 1130033, Japan Joint Inst Nucl Res, Bogoliubov Lab Theoret Phys, Dubna 141980, Russia Joint Inst Nucl Res Dubna Russia 141980 eoret Phys, Dubna 141980, Russia
Titolo Testata:
PROGRESS OF THEORETICAL PHYSICS
fascicolo: 6, volume: 101, anno: 1999,
pagine: 1261 - 1269
SICI:
0033-068X(199906)101:6<1261:GOIRIT>2.0.ZU;2-8
Fonte:
ISI
Lingua:
ENG
Soggetto:
NUCLEI;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
9
Recensione:
Indirizzi per estratti:
Indirizzo: Gelberg, A Univ Cologne, Inst Kernphys, D-50937 Cologne, Germany Univ Cologne Cologne Germany D-50937 D-50937 Cologne, Germany
Citazione:
A. Gelberg et al., "Generation of irreducible representations in the O(6) limit of the IBM", PROG T PHYS, 101(6), 1999, pp. 1261-1269

Abstract

An operator that can generate excited irreducible representations in the O(6) limit of the interacting boson model is proposed. This operator is a quasispin vector of the boson realization of the SU(1, 1) algebra. This operator is coupled to the \[N], sigma = N] ground state of the O(6) system by using an SU(1, 1) Wigner coefficient so as to generate the excited irreducible representation \[N],sigma = N - 2]. Any representation of an O(6)-type system can be generated by repeated actions of this operator, and any state of this representation can be generated by the subsequent repeated actions of the quadrupole operator on the state generated by the former operator. The general form of the operator for any value of a has been given. Another approach, which uses the commutator of the O(6) Casimir operator with the boson number operators as well as the double commutator, is also presented.

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Documento generato il 25/10/20 alle ore 11:36:31