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Prog. Theor. Phys. Vol. 91 No. 3 (1994) pp. 469-494

[ Full Text PDF : FREE ACCESS (2310K) ]

Thermal Effects and Dissipation in su(1, 1)-Algebraic Model by Means of Time-Dependent Variational Approach

Yasuhiko Tsue, Atsushi Kuriyama* and Masatoshi Yamamura*

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

(Received December 3, 1993)

Abstract:

The appearance of thermal effects is investigated in a simple system composed of quantum mechanical damped harmonic oscillator governed by su(1, 1)-algebra within a framework of the time-dependent variational approach in terms of mixed-mode coherent states. It is shown that certain fluctuations originated from the use of the mixed-mode coherent state can be interpreted as thermal fluctuations which appear in the form of the bose distribution function. Thus, our time-dependent variational approach with mixed-mode coherent states leads to a possible simultaneous description of classical motions and thermal fluctuations. It is also shown that the energy concentrated in a pure state at initial time dissipates to the other states after time-evolution. It is then remarked that the thermal effects play a significant role in the above process.


URL : http://ptp.ipap.jp/link?PTP/91/469/
DOI : 10.1143/PTP.91.469

[ Full Text PDF : FREE ACCESS (2310K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 93 No. 3 (1995) pp. 541-558 :
    On the Hamiltonians Expressed in Terms of su(1, 1)-Generators for Describing Thermal Effects in Nuclear su(2)-Models
    Yasuhiko Tsue, Atsushi Kuriyama and Masatoshi Yamamura
  2. Progress of Theoretical Physics Vol. 93 No. 6 (1995) pp. 1037-1057 :
    Description of Thermal Effects in su(1, 1)-Algebraic Model Derived from Nuclear su(2)-Model
    Yasuhiko Tsue, Atsushi Kuriyama and Masatoshi Yamamura
  3. Progress of Theoretical Physics Vol. 96 No. 1 (1996) pp. 125-144 :
    Thermal Effect in the Lipkin Model. III
    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. 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
  6. Progress of Theoretical Physics Vol. 109 No. 1 (2003) pp. 77-86 :
    The su(1,1)-Algebraic Boson Model in the Deformed Boson Scheme
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  7. Progress of Theoretical Physics Vol. 113 No. 1 (2005) pp. 153-168 :
    On the Eigenvalue Problem of the su(1,1)-Algebra and the Coupling Scheme of Two su(1,1)-Spins
    Seiya Nishiyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  8. Progress of Theoretical Physics Vol. 121 No. 6 (2009) pp. 1237-1287 :
    Many-Quark Model with su(4) Algebraic Structure
    Yasuhiko Tsue, Constança Providência, João da Providência 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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