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Prog. Theor. Phys. Vol. 77 No. 2 (1987) pp. 347-361

[ Full Text PDF : FREE ACCESS (783K) ]

Collective, Dissipative and Stochastic Motions in the TDHF Theory

Kazuhiro Muramatsu, Fumihiko Sakata, * Yoshifumi Yamamoto and Toshio Marumori

Institute of Physics, University of Tsukuba, Ibaraki 305
*Institute for Nuclear Study, Unvirsity of Tokyo, Tanashi 188

(Received June 16, 1986)

Abstract:

By applying the microscopic theory of dynamical collective submanifold, which has been formulated by the present authors, to a system with a simple model Hamiltonian, characteristic features of large-amplitude motion described by the time-dependent Hartree-Fock (TDHF) theory are visualized. Our theory dynamically defines an “optimum” submanifold out of the TDHF symplectic manifold (phase space) in such a way that the Hamiltonian on the submanifold is stationary with respect to variations perpendicular to it. The theory also classifies the submanifold into three different regions in terms of stablility and separability conditions. It is displayed that these three regions characterize collective, dissipative and stochastic motions in the TDHF theory.


URL : http://ptp.ipap.jp/link?PTP/77/347/
DOI : 10.1143/PTP.77.347

[ Full Text PDF : FREE ACCESS (783K) ] Citation:

References:

  1. F. Sakata, T. Marumori, Y. Hashimoto, K. Muramatsu and M. Ogura, Prog. Theor. Phys. 76 (1986), 387[PTP].
  2. P. G. Reinhard and K. Geoke, Nucl. Phys. A312 (1978), 121.
  3. T. Marumori, T. Maskawa, F. Sakata and A. Kuriyama, Prog. Theor. Phys. 64 (1980), 1294[PTP].
    T. Marumori, F. Sakata, T. Maskawa, T. Une and Y. Hashimoto, Nuclear Collective Dynamics ( Lectures of the 1982 Brasov International Summer School of Nuclear Physics) ed. D. Bucurescu, V. Ceausescu and N. V. Zamfir (World Scientific Publishing Co. Pte. Ltd), 1.
  4. F. Sakata, T. Marumori, K. Muramatsu and Y. Hashimoto, Prog. Theor. Phys. 74 (1985), 51[PTP].
    F. Sakata, T. Marumori, Y. Hashimoto and T. Une, Prog. Theor. Phys. 70 (1983), 424[PTP].
  5. S. Y. Li, A. Klein and R. M. Dreizler, J. Math. Phys. 11 (1970), 975[CrossRef].
  6. D. J. Rowe and R. Bassermann, Can. J. Phys. 54 (1976), 1941.
    T. Marumori, Prog. Theor. Phys. 57 (1977), 112[PTP].
    G. Holzwarth and T. Yukawa, Nucl. Phys. A219 (1974), 125.
  7. F. Sakata, T. Marumori and M. Ogura, Prog. Theor. Phys. 76 (1986), 400[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 82 No. 5 (1989) pp. 965-987 :
    Breking of Separability Condition for Dynamical Collective Subspace
    Fumihiko Sakata, Yoshifumi Yamamoto, Toshio Marumori, Shinji Iida and Hidehiko Tsukuma
  2. Progress of Theoretical Physics Vol. 82 No. 6 (1989) pp. 1084-1105 :
    Dissipation Mechanism of the Large-Amplitude Collective Motion
    Masayuki Matsuo, Fumihiko Sakata and Toshio Marumori
  3. Progress of Theoretical Physics Vol. 91 No. 6 (1994) pp. 1135-1147 :
    Quantum Nonlinear Resonance
    Hidehiko Tsukuma, Fumihiko Sakata, Toshio Marumori, Kazuo Iwasawa, Hiroshi Itabashi, Yukio Hashimoto and Takeshi Tanaka
  4. Progress of Theoretical Physics Supplement No.93 (1987) pp. 1-175 :
    Time-Dependent Hartree-Fock Method and Its Extension
    Masatoshi Yamamura and Atsushi Kuriyama

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