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

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

2001-02-08

arxiv.org/abs/nucl-th/0102014v1

Prog.Theor.Phys. 105 (2001) 717-728

Physics

Nuclear Physics

Nuclear Theory

14 pages using PTPTeX.sty

Scientific paper

10.1143/PTP.105.717

The su(2)-algebraic model interacting with an environment is investigated from a viewpoint of treating the dissipative system. By using the 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 to deal with this model. An exact solution with appropriate initial conditions is obtained by means of Jacobi's elliptic function. The implication to the dissipative process is discussed.

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