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Título: | A possible framework of the Lipkin model obeying the SU(n) algebra in arbitrary fermion number. II: Two subalgebras in the SU(n) Lipkin model and an approach to the construction of a linearly independent basis | Autor: | Tsue, Yasuhiko Providência, Constança Providência, João da Yamamura, Masatoshi |
Data: | 2016 | Editora: | Oxford University Press | Projeto: | Grant-in-Aid for Scientific Research (No. 26400277) from the Ministry of Education, Culture, Sports, Science and Technology in Japan | Título da revista, periódico, livro ou evento: | Progress of Theoretical and Experimental Physics | Volume: | 2016 | Número: | 8 | Resumo: | Based on the results for the minimum weight states obtained in the previous paper (I), an idea of how to construct the linearly independent basis is proposed for the SU(n) Lipkin model. This idea starts in setting up m independent SU(2) subalgebras in the cases with n = 2m and n = 2m+1 (m = 2, 3, 4, . . .). The original representation is re-formed in terms of the spherical tensors for the SU(n) generators built under the SU(2) subalgebras. Through this re-formation, the SU(m) subalgebra can be found. For constructing the linearly independent basis, not only the SU(2) algebras but also the SU(m) subalgebra play a central role. Some concrete results in the cases with n = 2, 3, 4, and 5 are presented. | URI: | https://hdl.handle.net/10316/108866 | ISSN: | 2050-3911 | DOI: | 10.1093/ptep/ptw102 | Direitos: | openAccess |
Aparece nas coleções: | I&D CFis - Artigos em Revistas Internacionais |
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