Prog. Theor. Phys. Vol. 72 No. 3 (1984) pp. 513-533

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Generalized Center of Mass and Relative Motions in Classical Many-Body System

— An Example of Solutions of Equations of Collective Submanifold —

Masatoshi Yamamura, Atsushi Kuriyama and Shinji Iida^*

Faculty of Engineering, Kansai University, Suita 564
^*Department of Physics, Kyoto University, Kyoto 606

(Received June 19, 1984)

Abstract:

A theory of collective submanifold, recently, developed by the present authors (M. Y. and A. K.) is applied to a classical many-body system, the Hamiltonian of which depends on the relative coordinates. The solution enables the separation of the total degrees of freedom into the collective and the intrinsic ones, which may be called the generalized center of mass and the relative motions. The results can be applied to the large amplitude collective motion and its couplings with the intrinsic degrees of freedom, which cannot be given in the HF plus RPA method.

URL : http://ptp.ipap.jp/link?PTP/72/513/
DOI : 10.1143/PTP.72.513

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Citing Article(s) :

Progress of Theoretical Physics Vol. 73 No. 2 (1985) pp. 374-385 :
A Schematic Model of Large Amplitude Collective Motions with an Exact Classical Solution. II

Shinji Iida
Progress of Theoretical Physics Vol. 75 No. 2 (1986) pp. 272-287 :
Equations of Collective Submanifold for Large Amplitude Collective Motion and Its Coupling with Intrinsic Degrees of Freedom. I

Masatoshi Yamamura and Atsushi Kuriyama
Progress of Theoretical Physics Supplement No.93 (1987) pp. 1-175 :
Time-Dependent Hartree-Fock Method and Its Extension

Masatoshi Yamamura and Atsushi Kuriyama