arXiv:nucl-th/0411074·v1·Nuclear Theory
A Note on the Eigenvalue Problem in the su(1,1)-Algebra
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
Normalization constant in the eigenstate appearing in the eigenvalue problem of the su(1,1)-algebra is discussed. This normalization constant is expressed in terms of the Gauss' hypergeometric series which is not absolutely convergent. It is proved that this series is obtained as a certain limit of an absolutely convergent series, which was conjectured in the previous paper.
Comments: 9 pages, 2 figures