A Possible Boson Realization of Generalized Lipkin Model for Many-Fermion System: The su(M + 1)-Algebraic Model in Non-Symmetric Boson Representation | Zendy

A. Kuriyama | Zendy; Constança Providência | Zendy; João da Providência | Zendy; Y. Tsue | Zendy; M. Yamamura | Zendy

Open Access

A Possible Boson Realization of Generalized Lipkin Model for Many-Fermion System: The su(M + 1)-Algebraic Model in Non-Symmetric Boson Representation

Author(s) -

A. Kuriyama,

Constança Providência,

João da Providência,

Y. Tsue,

M. Yamamura

Publication year - 2001

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.105.933

Subject(s) - physics , fermion , boson , formalism (music) , realization (probability) , algebraic number , mathematical physics , basis (linear algebra) , representation (politics) , particle physics , quantum mechanics , theoretical physics , mathematics , mathematical analysis , statistics , politics , political science , law , art , musical , geometry , visual arts

On the basis of the formalism proposed by three of the present authors (A.K., J.P.and M.Y.), 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, where fermions are partially occupied in each level, is discussed. The scheme for obtaining the orthogonal set for the irreducible representation is presented.

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