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The su(2)-algebraic model interacting with an environment is investigatedfrom a viewpoint of treating the dissipative system. By using thetime-dependent variational approach with a coherent state and with the help ofthe canonicity condition, the time-evolution of this quantum many-body systemis described in terms of the canonical equations of motion in the classicalmechanics. Then, it is shown that the su(1,1)-algebra plays an essential roleto deal with this model. An exact solution with appropriate initial conditionsis obtained by means of Jacobi's elliptic function. The implication to thedissipative process is discussed.Comment: 14 pages using PTPTeX.st

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