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5 papers
Two-boson realizations of the Higgs algebra and some applications
Dong Ruan
In this paper two kinds of two-boson realizations of the Higgs algebra are obtained by generalizing the well known Jordan-Schwinger realizations of the SU(2) and SU(1,1) algebras.…
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…
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…
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…
On the quantum mechanical nature in liquid NMR quantum computing
G L Long, H Y Yan, Y s Li +6
The quantum nature of bulk ensemble NMR quantum computing --the center of recent heated debate, is addressed. Concepts of the mixed state and entanglement are examined, and the dat…