A New Fermion Many-Body Theory Based on the SO(2N+1) Lie Algebra of the Fermion Operators

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概要

• 論文の詳細を見る

• A new many-body theory for fermions is proposed which is based on the SO(2N+1) Lie algebra of the fermion operators consisted of the annihilation-creation operators and the pair operators. A new cannonical transformation, which is the extension of the Bogoliubov transformation to the SO(2N+1) group, is introduced. A new bose representation for the fermion Lie operators is obtained by mapping the fermion Lie operators into the regular representation of the SO(2N+1) group. The annihilation-creation operators and the pair operators of fermions are represented by the closed first order differential operators on the SO(2N+1) group. An exact representation of fermion wavefunctions in a form similar to the wavefunction of the generator coordinate method is obtained making use of the SO(2N+1) canonical transformation. The physical fermion space is shown to be the irreducible spinor representation of the SO(2N+1) group. The dynamics of fermions in the bose representation space is shown to represent rotations of a 2N+1 dimensional rotator.

• 理論物理学刊行会の論文
• 1977-05-25

著者

• YAMAMURA Masatoshi

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

• FUKUTOME Hideo

  Department of Physics, Kyoto University

• Fukutome Hideo

  Department Of Physics Faculty Of Science Kyoto University

• Nishiyama Seiya

  Department of Physics, Faculty of Science, Kochi University

• Nishiyama Seiya

  Department Of Physics Faculty Of Science Kochi University

• Yamamura Msatoshi

  Department Of Physics Kyoto University

• Yamamura Masatoshi

  Department Of Physics Kyoto University

• NISHIYAMA Seiya

  Department of Physics, Kochi University

• NISHIYAMA Seiya

  Department of Physics,Kochi University

• FUKUTOME Hideo

  Department of Physics, Faculty of Science, Kyoto University

• NISHIYAMA Seiya

  Research Institute for Fundamental Physics, Kyoto University:Department of Physics, Kochi University

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