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

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概要

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• Following an idea, recently, proposed by the present authors for the two-level pairing model, the Lipkin model is reexamined. It is a natural generalization of the method already developed by the present authors with Kuriyama. This model is a schematic model for manyfermion systems and obeys the su(2)-algebra. It is shown that the use of the Schwinger boson representation, the model is expressed in terms of the su(1,1) ⊗ su(1,1)-algebra and with the aid of the MYT mapping method, it is disguised from the orginal form in terms of the Holstein-Primakoff representation. Further, under various coherent states, the classical counterparts are derived. It is concluded that the Lipkin model can be treated in the common ring as that of the two-level pairing model.

• 2006-07-25

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

• YAMAMURA Masatoshi

  Department of Pure and Applied Physics, Faculty of Engineering Science, Kansai University

• 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

• PROVIDENCIA Constanca

  Dpartamento de Fisica, Universidade de Coimbra

• PROVIDENCIA Joao

  Dpartamento de Fisica, Universidade de Coimbra

• TSUE Yasuhiro

  Department of Physics, Kochi University

• PROVIDENCIA Constancia

  Departmento de Fisica, Universidade de Coimbra

• YAMAMURA Masatoshi

  Depertment of Physics, Kyoto University

• YAMAMURA Masatoshi

  Department of Physics, Kyoto University : Faculty of Engineering, Kansai University

• YAMAMURA Masatoshi

  Faculty of Engineering ,Kansai University

• PROVIDENCIA Joao

  Department of Fisica, Universidade de Coimbra

• PROVIDENCIA Joao

  Departamento de Fisica,Universidade de Coimbra

• PROVIDENCIA Joao

  Deparatmento de Fisica, Universidate de Coimbra

• PROVIDENCIA Joao

  Departamento de Fisica, Unversidade de Coimbra

• PROVIDENCIA Joao

  Departament de Fisica, Universidade de Coimbra

• TSUE Yasuhiko

  Departamento de Fisica,Universidade de Coimbra

• TSUE Yasuhiko

  Department of Physics, Kyoto University

• PROVIDENCIA Constanca

  Departament de Fisica, Universidade de Coimbra

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