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Progress of Theoretical Physics

The su(1,1)-Algebraic Boson Model in the Deformed Boson Scheme: The Second Holstein-Primakoff Representation as q-Deformed Boson Operator

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

Published Jan 1, 2003• 0 citations
Publisher

Abstract

Following the deformed boson scheme leading to the su(1,1)-algebra, a certain simple boson system is deformed in the framework of the second Holstein-Primakoff representation. With the aid of the MYT boson mapping, the second representation arrives at the first Holstein-Primakoff representation. The su(1,1)-algebraic model obtained in this procedure is compared with that in the Schwinger representation investigated by three of the present authors (A.K., Y.T. and M.Y.).

DOI
10.1143/ptp.109.77

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Following the deformed boson scheme leading to the su(1,1)-algebra, a certain simple boson system is deformed in the framework of the second Holstein-Primakoff representation. With the aid of the MYT boson mapping, the second representation arrives at the first Holstein-Primakoff representation. The su(1,1)-algebraic model obtained in this procedure is compared with that in the Schwinger representation investigated by three of the present authors (A.K., Y.T. and M.Y.).
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