Constraint on Quantum Gravitational Well in Noncommutative Space

Details Constraint on Quantum Gravitational Well in Noncommutative Space Constraint on Quantum Gravitational Well in Noncommutative Space

2005-08-23

arxiv.org/abs/hep-th/0508164v4

Physics

High Energy Physics

High Energy Physics - Theory

14 pages

Scientific paper

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.

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