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Boson Realization of the su(3)-Algebra. I: -- Schwinger Representation for the Lipkin Model --
Author(s) -
Constança Providência,
João da Providência,
Y. Tsue,
M. 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.115.143
Subject(s) - physics , realization (probability) , boson , representation (politics) , excited state , algebra over a field , state (computer science) , mathematical physics , current algebra , quantum mechanics , pure mathematics , mathematics , algorithm , statistics , politics , political science , law
Following a general form for the Schwinger boson representation of thesu(M+1) Lipkin model presented in the previous paper, three types of theorthogonal sets characterizing the su(3)-algebra are proposed. In these three,third is presented in Appendix. The intrinsic state is specified by two quantumnumbers and two excited state generating operators play a central role.Comment: 13 pages, no figure, using PTP.cl

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