Remarks on the Noncommutative Gravitational Quantum Well
Abstract
A planar phase space having both position and momentum noncommutativity is defined in a more inclusive setting than that considered elsewhere. The dynamics of a particle in a gravitational quantum well in this space is studied. The use of the WKB approximation and the virial theorem enable analytic discussions on the effect of noncommutativity. Consistent results are obtained following either commutative space or noncommutative space descriptions. Comparison with recent experimental data with cold neutrons at Grenoble imposes an upper bound on the noncommutative parameter. Also, our results are compared with a recent numerical analysis of a similar problem.
Cite
@article{arxiv.hep-th/0605277,
title = {Remarks on the Noncommutative Gravitational Quantum Well},
author = {Rabin Banerjee and Binayak Dutta Roy and Saurav Samanta},
journal= {arXiv preprint arXiv:hep-th/0605277},
year = {2008}
}
Comments
Latex, 17 pages, Title changed, minor modifications, 3 new references added, To appear in Phys. Rev. D