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Prog. Theor. Phys. Vol. 100 No. 5 (1998) pp. 993-1011

[ Full Text PDF : FREE ACCESS (767K) ]

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

— The su(2,1)-Boson Model —

Atsushi Kuriyama, João da Providência,* Yasuhiko Tsue** and Masatoshi Yamamura

Faculty of Engineering, Kansai University, Suita 564-8680, Japan
*Departamento de Fisica, Universidade de Coimbra, P-3000 Coimbra, Portugal
**Department of Physics, Kochi University, Kochi 780-8520, Japan

(Received August 6, 1998)

Abstract:

With the aim of investigating thermal effects in the su(2)-boson model recently proposed by the present authors, a possible su(2,1)-boson model is proposed. The basic idea comes from the use of three kinds of boson operators. Following the case of the su(1,1)-boson model, three aspects of the present model are investigated: mixed-mode coherent state, the classical counterpart, and its requantization.


URL : http://ptp.ipap.jp/link?PTP/100/993/
DOI : 10.1143/PTP.100.993

[ Full Text PDF : FREE ACCESS (767K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 100 No. 6 (1998) pp. 1181-1202 :
    A Boson System Interacting with an External Harmonic Oscillator
    Atsushi Kuriyama, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  2. Progress of Theoretical Physics Vol. 103 No. 2 (2000) pp. 285-303 :
    On the Schwinger Boson Representation of an Extended (M+1)(N+1)-Dimensional Algebra Containing the su(M+1)- and the su(N,1)-Algebra
    Atsushi Kuriyama, João da Providência and Masatoshi Yamamura
  3. Progress of Theoretical Physics Vol. 103 No. 2 (2000) pp. 305-319 :
    A Possible Description of Many-Body System Composed of Four Kinds of Boson Operators
    Atsushi Kuriyama, João da Providência and Masatoshi Yamamura
  4. Progress of Theoretical Physics Vol. 105 No. 5 (2001) pp. 717-728 :
    Utility of su(1,1)-Algebra in a Schematic Nuclear su(2)-Model
    Hideaki Akaike, Yasuhiko Tsue, Constança Providência, João da Providência, Atsushi Kuriyama and Masatoshi Yamamura
  5. Progress of Theoretical Physics Vol. 106 No. 4 (2001) pp. 765-781 :
    Deformed Boson Scheme including Conventional q-Deformation in Time-Dependent Variational Method. II
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  6. Progress of Theoretical Physics Vol. 107 No. 1 (2002) pp. 65-86 :
    Deformed Boson Scheme including Conventional q-Deformation in Time-Dependent Variational Method. III
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  7. 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
  8. 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
  9. Progress of Theoretical Physics Supplement No.141 (2001) pp. 113-178 :
    Time-Evolution of the Coherent and the Squeezed States of Many-Body Systems Based on the Basic Idea of the Boson Mapping and the TDHF Method
    Atsushi Kuriyama, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura

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