Prog. Theor. Phys. Vol. 73 No. 2 (1985) pp. 386-396
Applicability of the Concept of “Optimal” Collective Submanifold Determined by the Self-Consistent Collective-Coordinate Method
— Long-Time Behavior of Trajectories on “Optimal” Collective Submanifold
Institute of Physics, University of Tsukuba, Ibaraki 305
*Institute for Nuclear Study, University of Tokyo, Tanashi, Tokyo 188
(Received October 22, 1984)
The applicability of the concept of “optimal” collective submanifold determined by the self-consistent collective-coordinate (SCC) method is investigated by using a simple model Hamiltonian. Long-time behavior of the SCC-method trajectories on the optimal collective submanifold is analyzed, by comparing the geometrical structure of the SCC-method trajectories with that of the time-dependent Hartree-Fock (TDHF) trajectories in terms of the Poincaré-mapping method. The concept of the optimal collective submanifold determined by the SCC method turns out to be applicable for a fairly large domain of the TDHF manifold where the separatrix is not included, in the sense that it can represent an approximate time-averaged trajectory of the complicated TDHF trajectories.
DOI : 10.1143/PTP.73.386
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