arXiv subjects

Hongzhou Sun

Publications and source records attributed to Hongzhou Sun.

2 recordsLinked to original sources

arXiv2001

The Irreducible Tensor Bases of Exceptional Lie Algebras 1. G2, F_4 and E_6

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)*SO(3)*SO(3)*SO(3) and E6> SO(3)*SO(3)*SO(3)*SO(3). The explicit commutation relations of the irreducible tensor bases of these algebras are given also respectively.

math-ph↗

arXiv2001

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

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)).

quant-ph↗