A Possible Boson Realization of the so(4)-and the so(3, 1)-Algebra : In Relation to the Runge-Lenz-Pauli Vector(Nuclear Physics)

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概要

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• As natural extensions of the boson realizations of the su(2)- and su(1, 1)-algebras, the so(4)- and so(3, 1)-algebras are presented in the form of boson realizations with four kinds of boson operators. For each algebra, two forms are discussed. One is constructed in terms of two sets of the boson operators which play the role of spherical tensors of rank 1/2. The other is based on the ranks 1 and 0. As a possible application, the Runge-Lenz-Pauli vector, which is famous in the context of the hydrogen atom, is derived with some aspects.

• 理論物理学刊行会の論文
• 2005-03-25

著者

• TSUE Yasuhiko

  Physics Division, Faculty of Science, Kochi University

• Providencia Constanca

  Departamento De Fisica Universidade De Coimbra

• Nishiyama Seiya

  Physics Division Faculty Of Science Kochi University

• Tsue Yasuhiko

  Physics Division Faculty Of Science Kochi University

• PROVIDENCIA Joao

  Dpartamento de Fisica, Universidade de Coimbra

• YAMAMURA Masatoshi

  Depertment of Physics, Kyoto 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

  Department of Physics, Kyoto University

• PROVIDENCIA Constanca

  Departament de Fisica, Universidade de Coimbra

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