A Note on the Eigenvalue Problem in the su(1,1)-Algebra

Details A Note on the Eigenvalue Problem in the su(1,1)-Algebra A Note on the Eigenvalue Problem in the su(1,1)-Algebra

2004-11-18

arxiv.org/abs/nucl-th/0411074v1

Prog.Theor.Phys. 113 (2005) 555-562

Physics

Nuclear Physics

Nuclear Theory

9 pages, 2 figures

Scientific paper

10.1143/PTP.113.555

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.

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