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Progress of Theoretical Physics

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

A. Kuriyama, Constança Providência, João da Providência, Y. Tsue, M. Yamamura

Published Jan 1, 2002• 0 citations
Publisher

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.

DOI
10.1143/ptp.107.65

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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.
Basic idea presented in Parts (I)-(III) for the deformed boson scheme is applied to the case of the su(2)- and 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 the form expressed in terms of four kinds of boson operators. As an illustrative example of the application, the framework for describing thermal effects observed in two-level shell model under the pairing correlation is proposed.
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.
Basic idea presented in Parts (I)-(III) for the deformed boson scheme is applied to the case of the su(2)- and 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 the form expressed in terms of four kinds of boson operators. As an illustrative example of the application, the framework for describing thermal effects observed in two-level shell model under the pairing correlation is proposed.