Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1900644 | Reports on Mathematical Physics | 2008 | 10 Pages |
Abstract
A class of representations on the Hilbert space L2(ℝd) (d ≥ 2) of the quantum plane 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 system with a magnetic field concentrated on an infinite lattice.
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Mathematics
Mathematical Physics