Prog. Theor. Phys. Vol. 70 No. 3 (1983) pp. 790-808

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A Schematic Model of Large Amplitude Collective Motions with an Exact Classical Solution. I

— Classical Theory of Two-Level Pairing Hamiltonian —

Shinji Iida and Masatoshi Yamamura^*

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

(Received May 30, 1983)

Abstract:

An exact solution of two-level pairing Hamiltonian is analytically given in the framework of the Hamiltonian form of classical mechanics. Following the shapes of the trajectories, whole phase space for pairing vibration can be divided into three sub-spaces. The solution, which is expressed in terms of the elliptic function, shows discontinuities at the boundaries of the three sub-spaces.

URL : http://ptp.ipap.jp/link?PTP/70/790/
DOI : 10.1143/PTP.70.790

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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

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Progress of Theoretical Physics Vol. 76 No. 2 (1986) pp. 372-386 :
Treatment of Nucleon-Number Conservation in the Selfconsistent Collective-Coordinate Method

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Progress of Theoretical Physics Vol. 82 No. 4 (1989) pp. 744-759 :
An Application of the Extended TDHF Method to the 0⁺ Intruder States in Even Pb Nuclei

Masatoshi Yamamura, Marc Huyse, Piet Van Duppen, and Kris Heyde
Progress of Theoretical Physics Vol. 115 No. 4 (2006) pp. 739-757 :
A New Boson Realization of the Two-Level Pairing Model in a Many-Fermion System and Its Classical Counterpart

Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
Progress of Theoretical Physics Supplement No.93 (1987) pp. 1-175 :
Time-Dependent Hartree-Fock Method and Its Extension

Masatoshi Yamamura and Atsushi Kuriyama