The Lipkin Model in Many-Fermion System as an Example of the su(1,1) ⊗ su(1,1)-Algebraic Model | Zendy

Constança Providência | Zendy; João da Providência | Zendy; Y. Tsue | Zendy; Masatoshi Yamamura | Zendy

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The Lipkin Model in Many-Fermion System as an Example of the su(1,1) ⊗ su(1,1)-Algebraic Model

Author(s) -

Constança Providência,

João da Providência,

Y. Tsue,

Masatoshi Yamamura

Publication year - 2006

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.116.87

Subject(s) - physics , pairing , fermion , generalization , boson , representation (politics) , schematic , algebraic number , algebraic structure , theoretical physics , algebra over a field , mathematical physics , particle physics , quantum mechanics , pure mathematics , mathematics , mathematical analysis , superconductivity , electronic engineering , politics , political science , law , engineering

Following the idea, recently, proposed by the present authors for thetwo-level pairing model, the Lipkin model is reexamined. It is a naturalgeneralization of the method already developed by the present authors withKuriyama. This model is a schematic model for many-fermion system and obeys thesu(2)-algebra. It is shown that the use of the Schwinger boson representation,the model is expressed in terms of the su(1,1) times su(1,1)-algebra and withthe aid of the MYT mapping method, it is disguised from the orginal form interms of the Holstein-Primakoff representation. Further, under various coherentstates, the classical counterparts are derived. It is concluded that the Lipkinmodel can be treated in the common ring as that of the two-level pairing model.Comment: 22 pages, no figure, using PTPTeX.cl

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