Noncommutative Spherically Symmetric Spaces

Details Noncommutative Spherically Symmetric Spaces Noncommutative Spherically Symmetric Spaces

2010-08-19

arxiv.org/abs/1008.3334v3

Phys.Rev.D83:025009,2011

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, revtex, matches Phys.Rev.D version

Scientific paper

10.1103/PhysRevD.83.025009

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.

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