Generating of additional force terms in Newton equation by twist-deformed Hopf algebras and classical symmetries

Abstract

We compare two ways of force terms generating in the model of nonrelativistic particle moving in the presence of constant field force $\vec{F}$. First of them uses the twist-deformed acceleration-enlarged Newton-Hooke quantum space-times while the second one incorporates the doubly enlarged Newton-Hooke transformations of classical space. Particulary, we find the conditions for which the both treatments provide the same force terms.

to appear in Proceedings of the 29th Max Born Symposium, no figures, 10 pages, Latex source

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