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Inhomogeneous boson realizations of the polynomial angular momentum algebra of arbitrary power

Dong Ruan·Yufeng Jia·Hongzhou Sun
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Abstract

The inhomogeneous single-, two- and three-boson realizations of the more general polynomial angular momentum algebra SU_n(2) are obtained from the Fock representations of SU_n(2) that corresponds to the indecomposable representation on the space of universal enveloping algebra U(SU_n(2)) and to the induced representations on the quotient spaces U(SU_n(2))/I_i, with I_i being some left ideals of U(SU_n(2)).

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Dong Ruan, Yufeng Jia, Hongzhou Sun. 2001-11-01. Inhomogeneous boson realizations of the polynomial angular momentum algebra of arbitrary power. https://arxiv.org/abs/quant-ph/0111007

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