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Prog. Theor. Phys. Vol. 104 No. 2 (2000) pp. 385-400

Schwinger-Type Boson Realization for Three Sub-Algebras of the su(4) Algebra

— The so(5), the so(4) and the su(2)⊗su(2) Algebra —

Masatoshi Yamamura, Atsushi Kuriyama and Teiji Kunihiro^*,*)

Faculty of Engineering, Kansai University, Suita 564-8680, Japan
^*Faculty of Science and Engineering, Ryukoku University, Ohtsu 520-2194, Japan

(Received March 27, 2000)

Abstract:

The Schwinger-type boson realizations of the so(5), so(4) and su(2)⊗su(2) algebras are discussed in relation to the su(4) algebra. The basic idea comes from a general form of the Schwinger-type boson representation for the su(n) algebra, which was recently proposed by two of the present authors (M.Y. & A.K.), with da Providência. For each algebra, the orthogonal set to obtain a full irreducible representation is derived.

URL : http://ptp.ipap.jp/link?PTP/104/385/
DOI : 10.1143/PTP.104.385

^*)Present address: Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan.

[ Full Text PDF : FREE ACCESS (185K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 104 No. 2 (2000) pp. 401-419 :

   Schwinger-Type Boson Realization for the su(4) Algebra

   Masatoshi Yamamura, Atsushi Kuriyama and Teiji Kunihiro

2. Progress of Theoretical Physics Vol. 112 No. 6 (2004) pp. 997-1012 :

   Coupling Schemes for an n su(2) Spin System

   Masatoshi Yamamura, Constança Providência, João da Providência, Yasuhiko Tsue and João da Providência, Jr.

3. Progress of Theoretical Physics Vol. 113 No. 1 (2005) pp. 153-168 :

   On the Eigenvalue Problem of the su(1,1)-Algebra and the Coupling Scheme of Two su(1,1)-Spins

   Seiya Nishiyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura

4. Progress of Theoretical Physics Vol. 114 No. 1 (2005) pp. 57-75 :

   The Lipkin Model in the su(M+1)-Algebra for Many-Fermion System and Its Counterpart in the Schwinger Boson Representation

   Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura

5. Progress of Theoretical Physics Vol. 121 No. 6 (2009) pp. 1237-1287 :

   Many-Quark Model with su(4) Algebraic Structure

   Yasuhiko Tsue, Constança Providência, João da Providência and Masatoshi Yamamura

6. Progress of Theoretical Physics Vol. 126 No. 1 (2011) pp. 115-134 :

   On the Color-Singlet States in Many-Quark Model with the su(4)-Algebraic Structure. I

   Yasuhiko Tsue, Constança Providência, João da Providência and Masatoshi Yamamura

7. Progress of Theoretical Physics Vol. 127 No. 4 (2012) pp. 751-768 :

   Re-Formation of Many-Quark Model with the su(4)-Algebraic Structure in the Schwinger Boson Realization

   Yasuhiko Tsue, Constança Providência, João da Providência and Masatoshi Yamamura

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