A Note on the Eigenvalue Problem in the su(1,1)-Algebra
classification
⚛️ nucl-th
keywords
seriesabsolutelyalgebraconstantconvergenteigenvaluenormalizationproblem
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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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