arXiv:nucl-th/0411071·v1·Nuclear Theory
On the Eigenvalue Problem of the su(1,1)-Algebra and the Coupling Scheme of Two su(1,1)-Spins
S.Nishiyama (Kochi Univ., Japan)🇯🇵 · C.Providencia (Univ. de Coimbra, Portugal)🇵🇹 · J da Providencia (Univ. de Coimbra, Portugal)🇵🇹 · Y.Tsue (Kochi Univ., Japan)🇯🇵 · M.Yamamura (Kansai Univ., Japan)🇯🇵
Abstract
After recapitulating the eigenvalue problem of the su(1,1)-algebra in the conventional form, the same problem is treated in an unconventional form, in which the eigenvalue is pure imaginary. Further, the coupling scheme of two su(1,1)-spins is discussed in the framework of two possibilities, in which certain new aspects appear. Finally, the coupling scheme developed in this paper is applied to a concrete example, which will serve boson realization of the so(4)- and the so(3,1)-algebra presented in the next paper.
Comments: 19 pages, No figure