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quant-ph2001
Single mode realizations of the Higgs algebra
Dong Ruan
In this paper we obtained for the Higgs algebra three kinds of single-mode realizations such as the unitary Holstein-Primakoff-like realization, the non-unitary Dyson-like realizat…
quant-ph2001
Inhomogeneous boson realizations of the polynomial angular momentum algebra of arbitrary power
Dong Ruan, Yufeng Jia, Hongzhou Sun
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) t…
math-ph2001
The Irreducible Tensor Bases of Exceptional Lie Algebras 1. G2, F_4 and E_6
Dong Ruan, Hongzhou Sun, QiZhi Han
The irreducible tensor bases of exceptional Lie algebras G2, F4 and E6 are built by grouping their Cartan-Weyl bases according to the respective chains G2> SO(3) * SO(3), F4 > SO(3…