dorsal/arxiv
View SchemaOn the Eigenvalue Problem of the su(1,1)-Algebra and the Coupling Scheme of Two su(1,1)-Spins
| Authors | S. Nishiyama, C. Providencia, J da Providencia, Y. Tsue, M. Yamamura |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0411071 |
| URL | https://arxiv.org/abs/nucl-th/0411071 |
| DOI | 10.1143/PTP.113.153 |
| Journal | Prog.Theor.Phys. 113 (2005) 153-168 |
Abstract
After recapitulating the eigenvalue problem of the su(1,1)-algebra in the conventional form, the same problem is treated in an unconventional form, in which the eigenvalue is pure imaginary. Further, the coupling scheme of two su(1,1)-spins is discussed in the framework of two possibilities, in which certain new aspects appear. Finally, the coupling scheme developed in this paper is applied to a concrete example, which will serve boson realization of the so(4)- and the so(3,1)-algebra presented in the next paper.
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"abstract": "After recapitulating the eigenvalue problem of the su(1,1)-algebra in the\nconventional form, the same problem is treated in an unconventional form, in\nwhich the eigenvalue is pure imaginary. Further, the coupling scheme of two\nsu(1,1)-spins is discussed in the framework of two possibilities, in which\ncertain new aspects appear. Finally, the coupling scheme developed in this\npaper is applied to a concrete example, which will serve boson realization of\nthe so(4)- and the so(3,1)-algebra presented in the next paper.",
"arxiv_id": "nucl-th/0411071",
"authors": [
"S. Nishiyama",
"C. Providencia",
"J da Providencia",
"Y. Tsue",
"M. Yamamura"
],
"categories": [
"nucl-th"
],
"doi": "10.1143/PTP.113.153",
"journal_ref": "Prog.Theor.Phys. 113 (2005) 153-168",
"title": "On the Eigenvalue Problem of the su(1,1)-Algebra and the Coupling Scheme of Two su(1,1)-Spins",
"url": "https://arxiv.org/abs/nucl-th/0411071"
},
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