Canonical Formulation of Mixed State and Irreducible Representation of u(M) Algebra

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概要

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• In order to get an irreducible representation of u(M) algebra, we develop a canonical theory of mixed state and discuss the dual property of mutually commutable u(M) algebras which have the Casimir operators in common. With the aid of this dual property, we can obtain an irreducible representation of u(M) algebra which is useful for investigations of nuclear dynamics, where generators of u(M) algebra given by one-body operators of fermion are expressed in terms of bosons. As an example, we derive the Holstein-Primakoff representation of u(M) generators. We also derive the irreducible representation of su(3) algebra.

• 理論物理学刊行会の論文
• 2001-04-27

著者

• Providencia Joao

  Departamento De Fisica Universidade De Coimbra

• Kuriyama Atsushi

  Faculty Of Engineering Kansai University

• Yamamura Masatoshi

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

• Kuriyama A

  Faculty Of Engineering Kansai University

• Yamamura Masatoshi

  Faculty Of Engineering Kansai University

• YAMAMURA Masatoshi

  Faculty of Engineering ,Kansai University

• PROVIDENCIA Joao

  Deparatmento de Fisica, Universidate de Coimbra

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