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arXiv · 1008.3334

Noncommutative Spherically Symmetric Spaces

Sean Murray·Jan Govaerts
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Abstract

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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Sean Murray, Jan Govaerts. 2010-12-13. Noncommutative Spherically Symmetric Spaces. https://doi.org/10.1103/physrevd.83.025009

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