Abstract
The basic idea presented in Parts (I) – (III) of this series for the deformed boson scheme is applied to the case of the su(2)- and the su(1, 1)-algebras for describing many-body systems consisting of four kinds of boson operators. A possible form of the coherent state given by the present authors is generalized and the su(2)q- and the su(1, 1)q-algebras are obtained in forms expressed in terms of four kinds of boson operators. As an illustrative example demonstrating the application of the deformed boson scheme, the framework for describing thermal effects observed in the two-level shell model with pairing correlation is proposed.
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