Searching for effects of Spatial Noncommutativity via a Penning Trap

Details Searching for effects of Spatial Noncommutativity via a Penning Trap Searching for effects of Spatial Noncommutativity via a Penning Trap

2005-08-03

arxiv.org/abs/hep-ph/0508042v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, no figure

Scientific paper

The possibility of testing spatial noncommutativity via a Penning trap is explored. The case of both space-space and momentum-momentum noncommuting is considered. Spatial noncommutativity leads to the spectrum of the orbital angular momentum of a Penning trap possessing fractional values, and in the limits of vanishing kinetic energy and subsequent vanishing magnetic field, this system has non-trivial dynamics. The dominant value of the lowest orbital angular momentum is $\hbar/4$, which is a clear signal of spatial noncommutativity. An experimental verification of this prediction by a Stern-Gerlach-type experiment is suggested.

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