Noncommutative Spherically Symmetric Spaces
High Energy Physics - Theory
2011-01-28 v3 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1008.3334,
title = {Noncommutative Spherically Symmetric Spaces},
author = {Sean Murray and Jan Govaerts},
journal= {arXiv preprint arXiv:1008.3334},
year = {2011}
}
Comments
9 pages, revtex, matches Phys.Rev.D version