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Prog. Theor. Phys. 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

Faculty of Engineering, Kansai University, Suita 564
^*Departamento de Fisica, Universidade de Coimbra, P3000 Coimbra
^**Department of Physics, Kochi University, Kochi 780

(Received May 29, 1996)

Abstract:

In the framework of the Marumori-Yamamura-Tokunaga boson expansion, three forms for the su(2)-spin system are presented. The first is related with the well-known Holstein-Primakoff boson expansion and the second is the expansion reinvestigated in a previous paper by the present authors. The third is, in some sense, the original part of this paper. Corresponding with three forms, c-number counterparts are obtained by using three forms of wave packets defined in the su(2)-spin space. With the help of appropriate quantization rule, they go back to the original boson expansions. Furthermore, it is discussed if the c-number counterparts can be regarded as the classical counterparts. Finally, the relation to the su(1, 1)-algebraic model is discussed.

URL : http://ptp.ipap.jp/link?PTP/96/387/
DOI : 10.1143/PTP.96.387

[ Full Text PDF : FREE ACCESS (889K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. 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

2. 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

3. 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

4. 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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