Prog. Theor. Phys. Vol. 105 No. 6 (2001) pp. 933-960

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A Possible Boson Realization of Generalized Lipkin Model for Many-Fermion System

— The su(M + 1)-Algebraic Model
in Non-Symmetric Boson Representation —

Atsushi Kuriyama, Constança Providência,^* João da Providência,^* Yasuhiko Tsue^** and Masatoshi Yamamura

Faculty of Engineering, Kansai University, Suita 564-8680, Japan
^*Departamento de Fisica, Universidade de Coimbra, P-3000 Coimbra, Portugal
^**Department of Material Science, Kochi University, Kochi 780-8520, Japan

(Received November 17, 2000)

Abstract:

On the basis of the formalism proposed by three of the present authors (A. K., J. P. & M. Y.), the generalized Lipkin model consisting of (M+1) single-particle levels is investigated. This model is essentially a kind of the su(M+1)-algebraic model and, in contrast to the conventional treatment, the case in which fermions are partially occupied in each level is discussed. The scheme for obtaining the orthogonal set for the irreducible representation is presented.

URL : http://ptp.ipap.jp/link?PTP/105/933/
DOI : 10.1143/PTP.105.933

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Citing Article(s) :

Progress of Theoretical Physics Vol. 114 No. 1 (2005) pp. 57-75 :
The Lipkin Model in the su(M+1)-Algebra for Many-Fermion System and Its Counterpart in the Schwinger Boson Representation

Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura

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