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Prog. Theor. Phys. Vol. 98 No. 4 (1997) pp. 893-915

[ Full Text PDF : FREE ACCESS (963K) ]

A Boson System Interacting with an External Harmonic Oscillator

— The su(1,1)-Spin Like Behavior in the su(2)-Spin System —

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

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

(Received July 25, 1997)

Abstract:

In order to avoid the introduction of a fictitious degree of freedom in the su(1,1)-algebraic approach for describing thermal effects in a boson system, the su(2)-algebraic approach is proposed in terms of a boson system interacting with an external harmonic oscillator. The relation between the two approaches is investigated from two points of view. One is a quantal point of view based on the MYT boson expansion. The other is a classical point of view based on one of three forms of coherent states for the su(2)-spin system proposed recently by the present authors. Solution of Hamilton's equation of motion is discussed in relation to that in the su(1,1)-algebraic approach.


URL : http://ptp.ipap.jp/link?PTP/98/893/
DOI : 10.1143/PTP.98.893

[ Full Text PDF : FREE ACCESS (963K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 99 No. 5 (1998) pp. 819-829 :
    Modification of the Conventional Holstein-Primakoff Boson Representation for the su(1,1)-Algebra and Its Classical Counterpart
    Atsushi Kuriyama, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  2. Progress of Theoretical Physics Vol. 100 No. 5 (1998) pp. 993-1011 :
    A Possible Description of Many-Body System Composed of Three Kinds of Boson Operators
    Atsushi Kuriyama, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  3. 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
  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. 751-763 :
    Deformed Boson Scheme including Conventional q-Deformation in Time-Dependent Variational Method. I
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  6. 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
  7. 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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