Generating of additional force terms in newton equation by twist-deformed hopf algebras and classical symmetries

摘要

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