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

S. Nishiyama·C. Providencia·J. da Providencia·Y. Tsue·M. Yamamura
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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.

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S. Nishiyama, C. Providencia, J. da Providencia, Y. Tsue, M. Yamamura. 2004-11-18. A Note on the Eigenvalue Problem in the su(1,1)-Algebra. https://doi.org/10.1143/ptp.113.555

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