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

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.

preprint2012arXivOpen access
Marcin Daszkiewicz
math-phmath.MPhep-th
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Marcin Daszkiewicz

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