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Prog. Theor. Phys. Vol. 105 No. 5 (2001) pp. 717-728

Utility of su(1,1)-Algebra in a Schematic Nuclear su(2)-Model

Hideaki Akaike, Yasuhiko Tsue, Constança Providência,^* João da Providência,^* Atsushi Kuriyama^** and Masatoshi Yamamura^**

Physics Division, Faculty of Science, Kochi University, Kochi 780-8520, Japan
^*Departamento de Fisica, Universidade de Coimbra, P-3000 Coimbra, Portugal ^**Faculty of Engineering, Kansai University, Suita 564-8680, Japan

(Received February 8, 2001)

Abstract:

The su(2)-algebraic model interacting with an environment is investigated from the viewpoint of treating a dissipative system. By using a time-dependent variational approach with a coherent state and with the help of the canonicity condition, the time-evolution of this quantum many-body system is described in terms of the canonical equations of motion in the classical mechanics. Then, it is shown that the su(1,1)-algebra plays an essential role in treating this model. An exact solution with appropriate initial conditions is obtained in terms of Jacobi's elliptic function. The implications for the dissipative process are discussed.

URL : http://ptp.ipap.jp/link?PTP/105/717/
DOI : 10.1143/PTP.105.717

[ Full Text PDF : FREE ACCESS (139K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 108 No. 2 (2002) pp. 323-346 :

   Deformed Boson Scheme including Conventional q-Deformation in Time-Dependent Variational Method. IV

   Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura

2. Progress of Theoretical Physics Vol. 112 No. 4 (2004) pp. 583-601 :

   Fermionic Squeezed State for the O(4) Model as a Schematic Model in a Many-Fermion System

   Hideaki Akaike, Yasuhiko Tsue and Seiya Nishiyama

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