The Lipkin Model in the su(M+1)-Algebra for Many-Fermion System and Its Counterpart in the Schwinger Boson Representation(Nuclear Physics)

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概要

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• Following the Schwinger boson representation for the su(M+1)- and su(N, 1)-algebras presented by two of the present authors (J. da P. and M. Y.) and Kuriyama, a possible counterpart of the Lipkin model in the su(M+1)-algebra formulated in the fermion space is presented. The free vacuum, which plays a fundamental role in the conventional treatment of the Lipkin model, is generalized in a quite natural way, and further, the excited state generating operators, such as the particle-hole pairs, are also given in a natural scheme. As concrete examples, the cases of the su(2)-, su(3)- and su(4)-algebras are studied. Especially, the case of the su(4)-algebra is investigated in detail in relation to the nucleon pairing correlations and the high-temperature superconductivity.

• 理論物理学刊行会の論文
• 2005-07-25

著者

• TSUE Yasuhiko

  Physics Division, Faculty of Science, Kochi University

• PROVIDENCIA Joao

  Departmento de Fisica, Universidade de Coimbra

• PROVIDENCIA Constanca

  Departmento de Fisica, Universidade de Coimbra

• Providencia Joao

  Departmento De Fisica Universidade De Coimbra

• Providencia Joao

  Departamento De Fisica Universidade De Coimbra

• Providencia C

  Departmento De Fisica Universidade De Coimbra

• Constanca Providencia

  Departamento De Fisica Universidade De Coimbra

• Providencia Constanca

  Departamento De Fisica Universidade De Coimbra

• YAMAMURA Masatoshi

  Faculty of Engineering, Kansai University

• Yamamura Masatoshi

  Department Of Pure And Applied Physics Faculty Of Engineering Science Kansai University

• Tsue Y

  Physics Division Faculty Of Science Kochi University

• Tsue Yasuhiko

  Physics Division Faculty Of Science Kochi University

• Providencia C

  Univ. Coimbra Coimbra Prt

• Yamamura Masatoshi

  Faculty Of Engineering Kansai University

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