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On the Eigenvalue Problem of the su(1,1)-Algebra and the Coupling Scheme of Two su(1,1)-Spins

S. Nishiyama·C. Providencia·J da Providencia·Y. Tsue·M. Yamamura
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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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S. Nishiyama, C. Providencia, J da Providencia, Y. Tsue, M. Yamamura. 2004-11-18. On the Eigenvalue Problem of the su(1,1)-Algebra and the Coupling Scheme of Two su(1,1)-Spins. https://doi.org/10.1143/ptp.113.153

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