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Prog. Theor. Phys. Vol. 95 No. 1 (1996) pp. 79-96

[ Full Text PDF : FREE ACCESS (790K) ]

Note on Boson Expansion and Boson Coherent State for the su(2)-Spin System

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

Faculty of Engineering, Kansai University, Suita 564
*Department of Physics, Kochi University, Kochi 780

(Received October 20, 1995)

Abstract:

With the aim of obtaining the classical counterpart of the su(2)-spin system and its quantal fluctuations in the frame of the boson coherent state, the Holstein-Primakoff and Marumori-Yamamura-Tokunaga boson expansions are investigated. The starting point is found in the Schwinger boson representation for the su(2)-spin system and its reformation. Dirac's canonical theory for constraint systems is also applied to the su(2)-spin system. In conclusion, the latter boson expansion is found to be superior to the former with respect to the use of the boson coherent state.


URL : http://ptp.ipap.jp/link?PTP/95/79/
DOI : 10.1143/PTP.95.79

[ Full Text PDF : FREE ACCESS (790K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 96 No. 2 (1996) pp. 387-406 :
    Three Forms of Boson Expansions for the su(2)-Spin System and Their c-Number Counterparts
    Atsushi Kuriyama, Jo&ão da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  2. Progress of Theoretical Physics Vol. 98 No. 2 (1997) pp. 381-392 :
    Three Forms of Coherent States in the su(2)-Spin System and Related Classical Counterparts
    Atsushi Kuriyama, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  3. Progress of Theoretical Physics Vol. 98 No. 4 (1997) pp. 893-915 :
    A Boson System Interacting with an External Harmonic Oscillator
    Atsushi Kuriyama, João da Providência,* Yasuhiko Tsue** and Masatoshi Yamamura
  4. Progress of Theoretical Physics Vol. 107 No. 2 (2002) pp. 443-448 :
    Note on the Deformed Boson Scheme in Time-Dependent Variational Method
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  5. Progress of Theoretical Physics Vol. 107 No. 6 (2002) pp. 1273-1278 :
    On the Multiboson Coherent State in Deformed Boson Scheme
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  6. 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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