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Prog. Theor. Phys. Vol. 103 No. 2 (2000) pp. 305-319

[ Full Text PDF : FREE ACCESS (168K) ]

A Possible Description of Many-Body System Composed of Four Kinds of Boson Operators

— In Relation to the su(2)- and the su(1, 1)-Algebraic Model —

Atsushi Kuriyama, João da Providência* and Masatoshi Yamamura

Faculty of Engineering, Kansai University, Suita 564-8680, Japan
*Departamento de Fisica, Unversidade de Coimbra, P-3000 Coimbra, Portugal

(Received November 10, 1999)

Abstract:

A general framework for describing many-boson systems with four kinds of boson operators is proposed. The basic idea comes from a general theory of the su(n)- and the su(n+1)-algebra, recently given by the present authors. A mixed-mode coherent state and a classical counterpart of the original quantal system are formulated.


URL : http://ptp.ipap.jp/link?PTP/103/305/
DOI : 10.1143/PTP.103.305

[ Full Text PDF : FREE ACCESS (168K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 104 No. 1 (2000) pp. 259-263 :
    An Orthogonal Set Constituted by Eight Kinds of Boson Operators
    Atsushi Kuriyama, João da Providência and Masatoshi Yamamura
  2. Progress of Theoretical Physics Vol. 105 No. 6 (2001) pp. 933-960 :
    A Possible Boson Realization of Generalized Lipkin Model for Many-Fermion System
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  3. Progress of Theoretical Physics Vol. 108 No. 2 (2002) pp. 323-346 :
    Deformed Boson Scheme including Conventional q-Deformation in Time-Dependent Variational Method. IV
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  4. Progress of Theoretical Physics Vol. 108 No. 4 (2002) pp. 783-787 :
    Note on the Deformed Boson Scheme in Four Kinds of Boson Operators
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  5. Progress of Theoretical Physics Vol. 109 No. 6 (2003) pp. 943-958 :
    A Possible Form of the Orthogonal Set in Six Kinds of Boson Operators
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  6. 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.
  7. 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
  8. Progress of Theoretical Physics Vol. 113 No. 3 (2005) pp. 563-580 :
    A Possible Boson Realization of the so(4)- and the so(3,1)-Algebra
    Seiya Nishiyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  9. Progress of Theoretical Physics Vol. 115 No. 4 (2006) pp. 739-757 :
    A New Boson Realization of the Two-Level Pairing Model in a Many-Fermion System and Its Classical Counterpart
    Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  10. Progress of Theoretical Physics Vol. 117 No. 3 (2007) pp. 431-449 :
    Semi-Classical Approach to the Two-Level Pairing Model
    Yasuhiko Tsue, Constança Providência, João da Providência and Masatoshi Yamamura
  11. Progress of Theoretical Physics Vol. 127 No. 1 (2012) pp. 117-143 :
    Background of the su(2)-Algebraic Many-Fermion Models in the Boson Realization
    Yasuhiko Tsue, Constança Providência, João da Providência and Masatoshi Yamamura

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