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Prog. Theor. Phys. Vol. 81 No. 6 (1989) pp. 1198-1216

Equation of Collective Submanifold for Mixed States

Masatoshi Yamamura, João da Providência,^* Atsushi Kuriyama and Carlos Fiolhais^*

Faculty of Engineering, Kansai University, Suita 564
^*Departmento de Fisica, Universidade de Coimbra, P-3000 Coimbra

(Received January 23, 1989)

Abstract:

With the aim of giving a microscopic description of various nuclear phenomena observed in highly excited states, the equation of the collective submanifold for mixed states is presented. The basic idea is a possible TDHF-like variation in the enlarged space which is adopted in the thermo field dynamics formalism. A set of equations, which determines the collective submanifold, is obtained. The form is analogous to that given in the conventional TDHF theory. At the small amplitude limit, an equation, the form of which is similar to the conventional RPA equation, can be derived in a natural way.

URL : http://ptp.ipap.jp/link?PTP/81/1198/
DOI : 10.1143/PTP.81.1198

[ Full Text PDF : FREE ACCESS (925K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. J. da Providência and C. Fiolhais, Nucl. Phys. A435 (1985), 190.
2. K. Tanabe, Phys. Rev. C37 (1988), 2802[APS].
3. M. Yamamura and A. Kuriyama, Prog. Theor. Phys. Suppl. No. 93 (1987) and references therein.
4. T. Hatsuda, SUNY Preprint NTG-88-51 (1988).
5. 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).
6. M. Yamamura and A. Kuriyama, Prog. Theor. Phys. 76 (1986), 1060[PTP].

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 83 No. 4 (1990) pp. 749-765 :

   On the Random Phase Approximation Based on the Thermo Field Dynamics Formalism

   Masatoshi Yamamura, João da Providência, Atsushi Kuriyama and Carlos Fiolhais

2. Progress of Theoretical Physics Vol. 85 No. 5 (1991) pp. 939-944 :

   Two Types of Schrödinger Time Evolution in the Formalism of Thermo Field Dynamics and Their Equivalence to the Liouville-von Neumann Equation

   João da Providência, Masatoshi Yamamura and Atsushi Kuriyama

3. Progress of Theoretical Physics Vol. 86 No. 2 (1991) pp. 419-428 :

   Application of the Canonical Theory of Mixed State to the Description of Bound States of the Nucleus. I

   Atsushi Kuriyama João da Providência and Masatoshi Yamamura

4. Progress of Theoretical Physics 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

5. Progress of Theoretical Physics Vol. 91 No. 3 (1994) pp. 469-494 :

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

   Yasuhiko Tsue, Atsushi Kuriyama and Masatoshi Yamamura

6. 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

7. 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

8. 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

9. Progress of Theoretical Physics Supplement No.141 (2001) pp. 243-284 :

   Canonical Formulation of Mixed State and Irreducible Representation of u(M) Algebra

   Atsushi Kuriyama, João da Providência and Masatoshi Yamamura

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