A Note on the Eigenvalue Problem in the su(1,1)-Algebra
arXiv:nucl-th/0411074 · doi:10.1143/PTP.113.555
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.
9 pages, 2 figures