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Prog. Theor. Phys. 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

Faculty of Engineering, Kansai University, Suita 564

(Received October 21, 1985)

Abstract:

A theory based on the time-dependent Hartree-Fock theory is proposed with the aim of describing large amplitude collective motion and its coupling with intrinsic degrees of freedom. With the use of time-dependent canonical transformation, the whole system is separated into two types of degrees of freedom. Under the condition of unique separation, two kinds of equations of collective submanifold are obtained. One is for the collective motion and of the same form as that previously given by the present authors. The other is for the intrinsic degrees of freedom and consists of a set of linear partial differential equations. It is reduced to the old one, the form of which is non-linear.

URL : http://ptp.ipap.jp/link?PTP/75/272/
DOI : 10.1143/PTP.75.272

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 75 No. 3 (1986) pp. 583-591 :

   Equations of Collective Submanifold for Large Amplitude Collective Motion and Its Coupling with Intrinsic Degrees of Freedom. II

   Masatoshi Yamamura and Atsushi Kuriyama

2. Progress of Theoretical Physics Vol. 76 No. 2 (1986) pp. 387-399 :

   Concept of Dynamical Collective Submanifold for Large-Amplitude Collective Motion in the TDHF Theory

   Fumihiko Sakata, Toshio Marumori, Yukio Hashimoto, Kazuhiro Muramatsu and Masanori Ogura

3. Progress of Theoretical Physics Vol. 76 No. 5 (1986) pp. 1047-1059 :

   An Extension of Time-Dependent Hatree-Fock Theory Including Grassmann Variables. I

   Masatoshi Yamamura and Atsushi Kuriyama

4. Progress of Theoretical Physics Vol. 77 No. 1 (1987) pp. 94-105 :

   Equations of Collective Submanifold for Large Amplitude Collective Motion and Its Coupling with Intrinsic Degrees of Freedom. III

   Masatoshi Yamamura and Atsushi Kuriyama

5. Progress of Theoretical Physics Vol. 78 No. 6 (1987) pp. 1351-1363 :

   Extraction of a Collective Submanifold for the Hénon-Heiles System

   Kunio Takabayashi

6. 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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