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A class of Hilbert space representations of the quantum plane and the quantum algebra Uq(sl2)
A class of representations on the Hilbert space L2(ℝd) (d ≥ 2) of the quantum plane ℂq2 and the quantum algebra Uq (sl2) is presented. The boundedness and the unboundedness of the representations are discussed. A physically interesting example of the representations is shown to appear in a two-dimensional quantum …