Effect of noncommutativity of space-time on Zitterbewegung

In this paper, we present the results of our investigation on the modification of Zitterbewegung due to the noncommutativity of the space-time. First, we study the effect of kappa-deformation of the space-time on Zitterbewegung. For this, we start with the kappa-deformed Dirac theory and using kappa-deformed Dirac equation valid up to first order in the deformation parameter a, we find the modification in the Zitterbewegung valid up to first order in the deformation parameter a. In the limit a -> 0, we get back the commutative result. Secondly, we find the modification in the Zitterbewegung due to the Magueijo-Smolin (MS) approach of doubly special relativity (DSR) and in the limit E-p -> infinity, we get back the result in the commutative space-time.