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 . 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. Particularly, we find the conditions for which both the treatments provide the same force terms.