Even-Odd Effect on the Thermal Equilibrium State of the Pairing Model. II : Mean Field Approximation and Renormalized Distribution

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概要

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• We define a mean field approximation of the modified grand partition function of the pairing model, which has been defined on the modified grand canonical ensemble with even or odd particle number. Using numerical evaluations, it is shown that this approximation reproduces the even-odd effect exhibited in the case of the modified grand partition function at low temperature very well in a qualitative sense. The expectation values of one-body operators can be expressed simply in terms of those obtained with the conventional mean field approximation when a Fermi-type distribution is replaced by a renormalized distribution. Although Wick's theorm does not hold in this case, the dominant parts of the expectation values of two-body operators are also given using those obtained by the conventional mean field approximation with the replacement mentioned above.

• 理論物理学刊行会の論文
• 2002-09-25

著者

• PROVIDENCIA Joao

  Departmento de Fisica, Universidade de Coimbra

• Providencia Joao

  Departamento De Fisica Universidade De Coimbra

• YAMAMURA Masatoshi

  Faculty of Engineering, Kansai University

• KURIYAMA Atsushi

  Faculty of Engineering, Kansai University

• Kuriyama Atsushi

  Faculty Of Engineering Kansai University

• Yamamura Masatoshi

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

• Tsue Yasuhiko

  Department Of Physics Kyoto University

• Kuriyama A

  Faculty Of Engineering Kansai University

• Yamamura Masatoshi

  Faculty Of Engineering Kansai University

• KURIYAMA Atushi

  Faculty of Engineering, Kansai University

• Da Providencia

  Departamento De Fisica Centro De Fisica Computacional Faculdade De Ciencias E Tecnologia Universidade De Coimbra

• YAMAMURA Masatoshi

  Depertment of Physics, Kyoto University

• YAMAMURA Masatoshi

  Faculty of Engineering ,Kansai University

• PROVIDENCIA Joao

  Departamento de Fisica,Universidade de Coimbra

• PROVIDENCIA Joao

  Departamento de Fisica, Unversidade de Coimbra

• KURIYAMA Atsushi

  Faculty of Engineering, Kansai Universidade

• KURIYAMA Atsushi

  Department of Physics, Kyusyu University

• KURIYAMA Atsushi

  Department of Physics, Kyushu University /Department of Physics, Kyoto University

• TSUE Yasuhiko

  Departamento de Fisica,Universidade de Coimbra

• KURIYAMA Atushi

  Department of Physics, Kyushu University

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