Deformed Boson Scheme including Conventional q-Deformation in Time-Dependent Variational Method. III. Deformation of the su(2,1)-Algebra in Terms of Three Kinds of Boson Operators.

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  • Deformed Boson Scheme including Conventional q-Deformation in Time-Dependent Variational Method(3)Deformation of the su(2,1)-Algebra in Terms of Three Kinds of Bonson Operators
  • --- <I>Deformation of the su(2,1)-Algebra in Terms of Three Kinds of Boson Operators </I>---

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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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