---

Prog. Theor. Phys. Vol. 87 No. 6 (1992) pp. 1377-1386

On the Canonical Equivalence of Classical Boson Expansions for Mixed States

Masatoshi Yamamura, Atsushi Kuriyama and João da Providência^*

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

(Received March 5, 1992)

Abstract:

Relation between two forms of thermal boson expansions in classical version, which have been obtained in two different approaches by the present authors, is investigated. The basic frame is a certain algebra governing the fluctuation around the equilibrium value of the density. It is proved that both forms are canonically equivalent to each other.

URL : http://ptp.ipap.jp/link?PTP/87/1377/
DOI : 10.1143/PTP.87.1377

[ Full Text PDF : FREE ACCESS (433K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

---

References:

1. J. da Providência and C. Fiolhais, Nucl. Phys. A435 (1985), 190.
2. A. Kuriyama, M. Yamamura, C. Providência and J. da Providência, Phys. Rev. C45 (1992), 2196[APS].
3. M. Yamamura, J. da Providência, A. Kuriyama and C. Fiolhais, Prog. Theor. Phys. 81 (1989), 1198[PTP]; ibid. 83 (1990), 749[PTP].
   M. Yamamura, J. da Providência and A. Kuriyama, Nucl. Phys. A514 (1990), 461.
4. A. Kuriyama, J. da Providência and M. Yamamura, Prog. Theor. Phys. 84 (1990), 452[PTP]; ibid. 84 (1990), 1115[PTP].
5. M. Yamamura and A. Kuriyama, Prog. Theor. Phys. Suppl. No. 93 (1987), and references therein.
6. Y. Takahashi and H. Umezawa, Collect. Phenom. 2 (1975), 55.
   H. Umezawa, H. Matsumoto and M. Tachiki, Thermo Field Dynamics and Condensed States (North-Holland, Amsterdam, 1982).
   M. Schmutz, Z. Phys. B30 (1978), 97.
   T. Arimitsu and H. Umezawa, Prog. Theor. Phys. 74 (1985), 429[PTP]; ibid. 77 (1987), 32[PTP].
7. P. A. M. Dirac, Can. J. Math. 2 (1950), 129.

Citing Article(s) :

1. 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

2. 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

---

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.