Abstract
The basic idea presented in Parts I and II for the deformed boson scheme is applied to the case of the su(2,1)-algebra for describing many-body systems consisting of three kinds of boson operators. A possible form of the coherent state for the su(2,1)-algebra is generalized, and the deformed su(2,1)-algebra is presented. As an application, the time evolution of the statistically mixed state in a certain boson system, which has already been investigated by the present authors, is reinvestigated.
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