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arXiv:nucl-th/0111029 · Progress of Theoretical Physics

Note on the Deformed Boson Scheme in Time-Dependent Variational Method

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

Published Feb 1, 2002• 0 citations
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Abstract

The Holstein-Primakoff representation for the su(2)-algebra is derived in the deformed boson scheme. The following two points are discussed: (i) the connection between a simple Hamiltonian and the Hamiltonian obeying the su(2)-algebra, such as the Hamiltonian of the Lipkin model and (ii) derivation of the Hamiltonian for describing the damped and amplified motion for the su(2)-boson model.

DOI
10.1143/ptp.107.443

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The Holstein-Primakoff representation for the su(2)-algebra is derived in the deformed boson scheme. The following two points are discussed: (i) the connection between a simple Hamiltonian and the Hamiltonian obeying the su(2)-algebra, such as the Hamiltonian of the Lipkin model and (ii) derivation of the Hamiltonian for describing the damped and amplified motion for the su(2)-boson model.
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.