arXiv:nucl-th/0304035 · Progress of Theoretical Physics
Note on the Orthogonal Set in Six Kinds of Boson Operators: In Relation to the su(1,1)- and Its Relevant Algebras
A. Kuriyama, C. Providencia, J. d. Providencia, Y. Tsue, M. Yamamura
Abstract
Following the basic idea proposed by the present authors in a recent paper, a possible form of the orthogonal set for many-body systems consisting of six kinds of boson operators is developed. In contrast to the recent paper, in which the su(2)-algebra plays a central role, in this paper, the su(1,1)-algebra is in a central position. The orthogonal set obtained in this paper is expressed in terms of a monomial with respect to the state generating operators.