Prog. Theor. Phys. Vol. 77 No. 2 (1987) pp. 347-361
Collective, Dissipative and Stochastic Motions in the TDHF Theory
Institute of Physics, University of Tsukuba, Ibaraki 305
*Institute for Nuclear Study, Unvirsity of Tokyo, Tanashi 188
(Received June 16, 1986)
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.
DOI : 10.1143/PTP.77.347
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Citing Article(s) :
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
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
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
Progress of Theoretical Physics Supplement No.93 (1987) pp. 1-175
Time-Dependent Hartree-Fock Method and Its Extension
Masatoshi Yamamura and Atsushi Kuriyama