Constraint on Quantum Gravitational Well in Noncommutative Space
Abstract
In two-dimensional noncommutive space for the case of both position-position and momentum-momentum noncommuting, the constraint between noncommutative parameters on the quantum gravitational well is investigated. The related topic of guaranteeing Bose-Einstein statistics in the general case are elucidated: Bose-Einstein statistics is guaranteed by the deformed Heisenberg-Weyl algebra itself, independent of dynamics. A special feature of a dynamical system is represented by a constraint between noncommutative parameters. Such a constraint is fixed by dynamical considerations. The general feature of the constraint is a direct proportionality between noncommutative parameters with a coefficient composed by a product of characteristic parameters of the considered system. The constraint on the quantum gravitational well is obtained, and is applied to estimate the upper bound of the momentum-momentum noncommutative parameter from the experimental upper bound of the position-position noncommutative parameter.
Cite
@article{arxiv.hep-th/0508164,
title = {Constraint on Quantum Gravitational Well in Noncommutative Space},
author = {Jian-Zu Zhang},
journal= {arXiv preprint arXiv:hep-th/0508164},
year = {2007}
}
Comments
14 pages