dorsal/arxiv
View SchemaA Note on the Eigenvalue Problem in the su(1,1)-Algebra
| Authors | S. Nishiyama, C. Providencia, J. da Providencia, Y. Tsue, M. Yamamura |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0411074 |
| URL | https://arxiv.org/abs/nucl-th/0411074 |
| DOI | 10.1143/PTP.113.555 |
| Journal | Prog.Theor.Phys. 113 (2005) 555-562 |
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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"abstract": "Normalization constant in the eigenstate appearing in the eigenvalue problem\nof the su(1,1)-algebra is discussed. This normalization constant is expressed\nin terms of the Gauss\u0027 hypergeometric series which is not absolutely\nconvergent. It is proved that this series is obtained as a certain limit of an\nabsolutely convergent series, which was conjectured in the previous paper.",
"arxiv_id": "nucl-th/0411074",
"authors": [
"S. Nishiyama",
"C. Providencia",
"J. da Providencia",
"Y. Tsue",
"M. Yamamura"
],
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"nucl-th"
],
"doi": "10.1143/PTP.113.555",
"journal_ref": "Prog.Theor.Phys. 113 (2005) 555-562",
"title": "A Note on the Eigenvalue Problem in the su(1,1)-Algebra",
"url": "https://arxiv.org/abs/nucl-th/0411074"
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