A Note on the Eigenvalue Problem in the su(1,1)-Algebra
Nuclear Theory
2009-11-10 v1
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.
Cite
@article{arxiv.nucl-th/0411074,
title = {A Note on the Eigenvalue Problem in the su(1,1)-Algebra},
author = {S. Nishiyama and C. Providencia and J. da Providencia and Y. Tsue and M. Yamamura},
journal= {arXiv preprint arXiv:nucl-th/0411074},
year = {2009}
}
Comments
9 pages, 2 figures