A possible boson realization of generalized Lipkin model for many-fermion system - The su(M+1)-algebraic model in non-symmetric boson representation

Authors
Kuriyama, A Providencia, C da Providencia, J Tsue, Y Yamamura, R
Citation
A. Kuriyama et al., A possible boson realization of generalized Lipkin model for many-fermion system - The su(M+1)-algebraic model in non-symmetric boson representation, PROG T PHYS, 105(6), 2001, pp. 933-960
Citations number
16
Categorie Soggetti
Physics
Journal title
PROGRESS OF THEORETICAL PHYSICS
ISSN journal
0033068X → ACNP
Volume
105
Issue
6
Year of publication
2001
Pages
933 - 960
Database
ISI
SICI code
0033-068X(200106)105:6<933:APBROG>2.0.ZU;2-5
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) sing le-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 discusse d. The scheme for obtaining the orthogonal set for the irreducible represen tation is presented.