Constraint on Quantum Gravitational Well in Noncommutative Space

dc.creatorZhang, Jian-Zu
dc.date2005-08-23
dc.date2006-02-24
dc.date.accessioned2026-07-07T06:42:12Z
dc.date.available2026-07-07T06:42:12Z
dc.descriptionIn 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.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0508164
dc.identifierhttp://arxiv.org/abs/hep-th/0508164
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101951
dc.subjectHigh Energy Physics - Theory
dc.titleConstraint on Quantum Gravitational Well in Noncommutative Space
dc.typetext

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