Snyder space revisited

Details Snyder space revisited Snyder space revisited

2011-08-09

arxiv.org/abs/1108.1832v2

Physics

High Energy Physics

High Energy Physics - Theory

22 pages

Scientific paper

We examine basis functions on momentum space for the three dimensional Euclidean Snyder algebra. We argue that the momentum space is isomorphic to the SO(3) group manifold, and that the basis functions span either one of two Hilbert spaces. This implies the existence of two distinct lattice structures of space, on which continuous rotations and translations are unitarily implementable.

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