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