Galilean symmetry in noncommutative Gravitational Quantum Well
Abstract
A thorough analysis of Galilean symmetries for the gravitational well problem on a noncommutative plane is presented. A complete closure of the one-parameter centrally extended Galilean algebra is realised for the model. This implies that the field theoretic model constructed to describe noncommutative gravitational quantum well in \cite{ani} is indeed independent of the coordinate choice. Hence the energy spectrum predicted by the model can be associated with the experimental results to establish the upper-bound on time-space noncommutative parameter. Interestingly, noncommutativity is shown to increase the gravitational pull on the neutron trapped in the gravitational well.
Cite
@article{arxiv.0803.3957,
title = {Galilean symmetry in noncommutative Gravitational Quantum Well},
author = {Anirban Saha},
journal= {arXiv preprint arXiv:0803.3957},
year = {2013}
}
Comments
9 pages, Revtex, Section I and IV rewritten, Accepted for publication in Phys. Rev. D