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arXiv:nucl-th/0106034 · Progress of Theoretical Physics

Deformed Boson Scheme including Conventional q-Deformation in Time-Dependent Variational Method. II: Deformation of the su(2)- and the su(1,1)-Algebras in the Schwinger Boson Representation

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

Published Oct 1, 2001• 6 citations
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Abstract

In this paper as a continuation of Part I, the case of two kinds of boson operators is treated. The deformation of the coherent states for the su(2)- and the su(1,1)-algebras and their related deformed algebras are discussed in various form including the most popular form.
DOI
10.1143/ptp.106.765

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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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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.