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Prog. Theor. Phys. Vol. 88 No. 4 (1992) pp. 711-718

[ Full Text PDF : FREE ACCESS (686K) ]

Minimal Uncertainty in Quantal System Obeying the su(2)-Algebra

Masatoshi Yamamura and Atsushi Kuriyama

Faculty of Engineering, Kansai University, Suita 564

(Received June 18, 1992)

Abstract:

A viewpoint for describing time development of wave packet with the least quantal effect is proposed in the case of system obeying the su(2)-algebra, i.e., the quasi-spin. The basic idea is a possible extension of a method developed by the present authors, together with Tsue and Fujiwara, for one-dimensional system. Concerning the least quantal effect, the uncertainty relations coming from the non-commutability among the components of the quasi-spin are investigated and a certain condition for the least quantal effect in the quasi-spin is presented.


URL : http://ptp.ipap.jp/link?PTP/88/711/
DOI : 10.1143/PTP.88.711

[ Full Text PDF : FREE ACCESS (686K) ] Citation:

References:

  1. M. Yamamura and A. Kuriyama, Prog. Theor. Phys. Suppl. No. 93 (1987), and references therein.
  2. Y. Tsue, Y. Fujiwara, A. Kuriyama and M. Yamamura, Prog. Theor. Phys. 85 (1991), 693[PTP].
  3. Y. Tsue and Y. Fujiwara, Prog. Theor. Phys. 86 (1991), 443[PTP].
  4. R. Jackiw and A. Kerman, Phys. Lett. 71A (1979), 158.
  5. Y. Tsue and Y. Fujiwara, Prog. Theor. Phys. 86 (1991), 469[PTP].
  6. J. Schwinger, in Quantum Theory of Angular Momentum, ed. L. Biedenharn and H. van Dam (Academic Press, New York, 1965), p. 229.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 88 No. 4 (1992) pp. 719-735 :
    On the Coherent and the Squeezed State in the su(2)-Boson Model
    Masatoshi Yamamura, Atsushi Kuriyama and Yasuhiko Tsue
  2. Progress of Theoretical Physics Vol. 92 No. 3 (1994) pp. 545-563 :
    Investigation of the Minimal Uncertainty Appearing in the Quasi-Spin Coherent and the Quasi-Spin Squeezed State of Many-Fermion System
    Yasuhiko Tsue, Atsushi Kuriyama and Masatoshi Yamamura
  3. Progress of Theoretical Physics Vol. 95 No. 1 (1996) pp. 79-96 :
    Note on Boson Expansion and Boson Coherent State for the su(2)-Spin System
    Atsushi Kuriyama, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  4. Progress of Theoretical Physics Vol. 96 No. 4 (1996) pp. 729-747 :
    Quasi-Spin Squeezed State for Lipkin Model
    Yasuhiko Tsue, Nobuyuki Azuma, Atsushi Kuriyama and Masatoshi Yamamura
  5. 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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