
arXiv: 1008.3334
handle: 2078.1/107994 , 21.11116/0000-000B-7784-A
We examine some noncommutative spherically symmetric spaces in three space dimensions. A generalization of Snyder's noncommutative (Euclidean) space allows the inclusion of the generator of dilations into the defining algebra of the coordinate and rotation operators. We then construct a spherically symmetric noncommutative Laplacian on this space having the correct limiting spectrum. This is presented via a creation and annihilation operator realization of the algebra, which may lend itself to a truncation of the Hilbert space.
9 pages, revtex, matches Phys.Rev.D version
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), FOS: Physical sciences, Mathematical Physics (math-ph), Mathematical Physics
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), FOS: Physical sciences, Mathematical Physics (math-ph), Mathematical Physics
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